Answer: D segment RS
Step-by-step explanation:
It indicates that quadrilateral ABCD is similar to RSTU which means it could have an enlargement or reduction in shape.
As we can see, Quadrilateral ABCD can be map to RSTU with a set of rigid transformations and a dilation.Looking at the two pictures segment AB since to be the same as RS after the transformation.
So AB is corresponding to RS.
Construct an algebraic proof for the given statement. Cite a property from Theorem 6.2.2 for every step. (A - B) u (An B) = A Theorem 6.2.2 Set Identities Let all sets referred to below be subsets of a universal set U. 1. Commutative Laws: For all sets A and B, (a) AUB = BUA and (b) An B = BNA. 2. Associative Laws: For all sets A, B, and C, (a) (A U BUC = AU (BUC) and (b) (ANB) NC = An (BNC). 3. Distributive Laws: For all sets, A, B, and C, (a) AU (BNC) = (AUB) N (AUC) and (b) A N (BUC) = (ANB) U (ANC). 4. Identity Laws: For all sets A, (a) A UØ = A and (b) A NU = A. 5. Complement Laws: (a) AU AC = U and (b) An A = 0. 6. Double Complement Law: For all sets A, (A) = A. 7. Idempotent Laws: For all sets A, (a) AU A = A and (b) An A = A. 8. Universal Bound Laws: For all sets A, (a) A UU = U and (b) Ang=0. 9. De Morgan's Laws: For all sets A and B, (a) (AUB) = A n Bº and (b) (ANB) = ACU B. 10. Absorption Laws: For all sets A and B, (a) A U(ANB) = A and (b) AN (AUB) = A. 11. Complements of U and Ø: (a) U = 0 and (b) Ø¢ = U. 12. Set Difference Law: For all sets A and B, A - B = ABC.
(A - B) u (A n B) = A is proved using several properties from Theorem 6.2.2. of Set Identities.
How to prove (A - B) u (A n B) = A algebraically?To prove (A - B) u (A n B) = A algebraically, we can use the following steps:
(A - B) u (A n B) // Given
[(A n B) U (A - B)] // Definition of union
[(B n A) U (A - B)] // Commutative law of intersection
[(B U (A - B)) n (A U (A n B))] // Distributive law of union over intersection
[(B U (A n B)') n (A U B)] // Complement law of intersection and De Morgan's law
[(B U (A - B)) n (A U B)] // Complement law of A n B
[(B U (A n B)') n (A U B)] // Definition of A - B
[(B U (A n B)') n (B U A')] // De Morgan's law
[(B n (B U A')) U ((A n B)'' n (B U A'))] // Distributive law of intersection over union
[(B n U) U (Ø n (B U A'))] // Complement law of B U A' and B n (B U A')
B U Ø // Identity law of intersection and complement law of B U A'
B // Identity law of union
Therefore, (A - B) u (A n B) = A is proved. We used several properties from Theorem 6.2.2, including the commutative law of intersection, distributive law of union over intersection, complement law of intersection, De Morgan's law, complement law of A n B, definition of A - B, distributive law of intersection over union, complement law of B U A', and identity law of intersection and union.
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Given the polynomial function below, find F(-1).
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
\(f(x) = - {x}^{3} - {x}^{2} + 1\)
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
\(f( - 1) = - ({ - 1})^{3} - ({ - 1})^{2} + 1 \\ \)
\(f( - 1) = - ( - 1) - (1) + 1\)
\(f( - 1) = 1 - 1 + 1\)
\(f( - 1) = 2 - 1\)
\(f( - 1) = 1\)
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
The correct answer is (( D )) .
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
In the ordered pair below, which value represents the input to a function?
(3, 18)
Answer: 3
Step-by-step explanation:
The standard notation for a point (also called an ordered pair) is (x, y).
And the standard form of writing a function is:
y = f(x).
Where x is the "input" of the function, and y is the "output" of the function.
Then we can see that in the point (x, y)
The input is the first number, and the output is the second number.
Then for the point (3, 18), the fist number will be the input, then:
In the ordered pair (3, 18), the value that represents the input to a function is 3.
Answer:
3
Step-by-step explanation:
I had the same question for my HW
A car travels 285 miles in 4 hours (with a constant speed). How far can it travel in 3 hours (with the same speed)?
Data:
Distance: 285 miles
Time: 4 hours
As the speed was constant, you can calculated it, as follow:
\(s=\frac{d}{t}\)\(s=\frac{285\text{miles}}{4h}=71.25\frac{miles}{h}\)Then, you can find the distance in 3 hours with the next formula:
\(d=s\cdot t\)You know the value of the spped (71.25miles/h) and the time is 3h:
\(d=71.25\frac{\text{miles}}{h}\cdot3h=213.75miles\)Then, the car travels 213.75 miles in 3 hours.The GCF of two whole numbers is 9 and the LCM of the
same two numbers is 135. What could the two numbers be? Prove it.
Answer:
9 and 135
Step-by-step explanation:
The GCF is 9, and 135 is divisble by 9. The GCF of a standalone number is itself, and the aforementioned divisibility of 135 by 9 rules 9 as one of the numbers. Since 9 is a multiple of 135, and 9 can multiply to be 135, this makes the second number 135.
if the point p falls on the unit circle and has an x coordinate of 5/13 find the y coordinate of point p
To find the y-coordinate of point P on the unit circle, given that its x-coordinate is 5/13, we can utilize the Pythagorean identity for points on the unit circle.
The Pythagorean identity states that for any point (x, y) on the unit circle, the following equation holds true:
x^2 + y^2 = 1
Since we are given the x-coordinate as 5/13, we can substitute this value into the equation and solve for y:
(5/13)^2 + y^2 = 1
25/169 + y^2 = 1
To isolate y^2, we subtract 25/169 from both sides:
y^2 = 1 - 25/169
y^2 = 169/169 - 25/169
y^2 = 144/169
Taking the square root of both sides, we find:
y = ±sqrt(144/169)
Since we are dealing with points on the unit circle, the y-coordinate represents the sine value. Therefore, the y-coordinate of point P is:
y = ±12/13
So, the y-coordinate of point P can be either 12/13 or -12/13.
\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)
♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)
Enter the values for the highlighted variables that show how to subtract the rational expressions correctly: StartFraction 2 Over x squared minus 36 EndFraction minus StartFraction 1 Over x squared + 6 x EndFraction = StartFraction 2 Over (x + 6) (x minus 6) EndFraction minus StartFraction 1 Over x (x + a) EndFraction. = StartFraction b x Over (x + 6) (x minus 6) x EndFraction minus StartFraction x minus c Over (x + 6) (x minus 6) x EndFraction. = StartFraction d x minus x + e Over (x + 6) (x minus 6) x EndFraction. = StartFraction x + f Over (x + 6) (x minus 6) x EndFraction. = StartFraction g Over x (x minus 6) EndFraction
Answer:
6, 2, 6, 2, 6, 6, 1
Step-by-step explanation:
a = 6
b = 2
c = 6
d = 2
e = 6
f = 6
g = 1
Answer: 6, 2, 6, 2, 6, 6, 1
Step-by-step explanation:
solve
please help me.
Answer:
x ≥ 3
Step-by-step explanation:
Look at this square. Find the value of
S.
S
Perimeter = 16 miles
S =
miles
The value of S, which represents the length of each side of the square, is 4 miles.
To find the value of S, we need to determine the length of each side of the square. Given that the perimeter of the square is 16 miles, we can use the formula for the perimeter of a square, which is 4 times the length of a side.
Perimeter = 4 × S
Given that the perimeter is 16 miles, we can substitute this value into the equation:
16 = 4 × S
To solve for S, we divide both sides of the equation by 4:
16 ÷ 4 = S
4 = S
Therefore, S, which stands for the square's side lengths, has a value of 4 miles.
So, S = 4 miles.
This means that each side of the square measures 4 miles, and the square has equal sides and right angles at each corner.
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HELPPP PLEASEEEE………..
Answer:
the answer is 54°......
5th grade math. Correct answer will be marked brainliest.
Answer:
93.96
Step-by-step explanation:
11.54 (half dollar mass) x 4 half dollars = 45.36
8.1 (dollar coin mass) x 6 dollar coins = 48.6
1
45.36
+48.6
93.96
Answer: The total mass of the coins in Sari's bag is 93.96 grams.
Step-by-step explanation: The half dollar mass is 11.54 grams × 4 half dollars= 45.36 grams and the dollar coin mass is 8.1 grams × 6 dollar coins=48.6 grams.
So we add half dollar and dollar coin masses: 45.36+48.6=93.96 grams, your total should be 93.96 grams, I hope your answer is very helpful, please mark me as brainliest, and have a happy holidays!!!!!!!!! :D
what is a type ii error? rejecting a false null hypothesis accepting a false alternate hypothesis rejecting a false alternate hypothesis failing to reject a false null hypothesis
A type II error is a statistical term used to describe the failure to reject a false null hypothesis. It occurs when the null hypothesis is actually false but is not rejected because the statistical test failed to find significant evidence against it.
In other words, it happens when an alternative hypothesis is true, but we fail to reject the null hypothesis.
Types of errors in hypothesis testing
There are two types of errors in hypothesis testing:
Type I error: Rejecting a true null hypothesis
Type II error: Failing to reject a false null hypothesis.Type I error occurs when a true null hypothesis is rejected while Type II error occurs when a false null hypothesis is not rejected. These types of errors are inversely related, meaning that a decrease in one type of error causes an increase in the other.
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a biologist records the average weight of the brain and body for a number of mammal species the biologist uses the inequality \(60\leq 0.5x+2.5\leq 250\) to determine the weight of the mammals whose brain weighs between 60 pounds(lb) and 250 lb. solve the inequality
The inequality is \(115\leq x\leq 495\)
What is inequality?
A connection is termed an inequality if two real numbers or algebraic expressions are connected by the symbols ">", "<", "≥". Inequality is a mathematical statement that uses the inequality symbol to illustrate the relationship between two expressions. An inequality symbol has non-equal expressions on both sides. It indicates that the phrase on the left should be bigger or smaller than the expression on the right, or vice versa. Literal inequalities are relationships between two algebraic expressions that are expressed using the inequality symbols.
Given \(60\leq 0.5x+2.5\leq 250\)
splitting the equation:
\(60\leq 0.5x +2.5\) and \(0.5x +2.5\leq 250\)
\(60-2.5\leq 0.5x\\57.5\leq 0.5x\\115\leq x\\x\geq 115\)
also
\(0.5x +2.5\leq 250\\0.5x\leq 247.5\\x\leq 495\)
therefore the equation is
\(115\leq x\leq 495\)
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(How many inches are in 71.12 centimeters? (1 inch = 2.54 centimeters). Show your work using
dimensional analysis.
PLSSS I NEED THIS ANSWER FAST
Answer:
28
Step-by-step explanation:
71.12 divided by 2.54 = 28
Answer:
Using dimensional analysis:
71.12 cm / 2.54 cm/inch = 28 inches
Therefore, 71.12 centimeters is equal to 28 inches.
The quadratic function y = -10x2 + 160x - 430 models a store's daily profit (y), in dollars, for selling T-shirts priced at x dollars.
A the daily profit the company would make from the T-shirts if it gave the T-shirts away for free
B the greatest daily profit the company could make from selling the T-shirts
C a selling price that would result in the company making no profit from the T-shirts
D the selling price that would result in the company making the greatest daily profit from the T-shirts
Match each item with what it represents in this situation by entering the appropriate letter in each box.
1 x-coordinate of the vertex of the function
2 y-coordinate of the vertex of the function
3 an x-intercept of the function
4 a y-intercept of the function
Answer:
1: D
2: B
3: C
4: A
Step-by-step explanation:
For Edge:)
Answer:
1: D
2: B
3: C
4: A
Step-by-step explanation:
I also got it right on Edge , Good luck!
ALGEBRA 2:
my brain can’t handle this please i’m begging 35 points!! + brain lies
Answer:
Batoon you okay U-Pack guitar a Jeffrey vaginas how much are I guess you're everything
Choose the pieces(s) of information included in Ashley's cost function. Select all that apply A. Amount her grandma is paid B. The cost of her grandma's heat and cable TV C. Profit per item D. Item selling price E. Yam price to make toys
The cost function is composed of various pieces of information that relate to the costs of the production process.
Ashley's cost function includes the cost of her grandma's heat and cable TV and Yam price to make toys.The cost function of Ashley is the economic relationship between the costs incurred by Ashley and the production of her products. It is a mathematical function that helps her analyze the production process to make her product profitable. The cost function is composed of various pieces of information that relate to the costs of the production process.Here are the pieces of information included in Ashley's cost function:- The cost of her grandma's heat and cable TV- Yam price to make toysTherefore, the correct answer is B and E.
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How would you find how many electrons are in a neutral atom??
Answer:
The number of electrons in a neutral atom is equal to the number of protons.
if the probability that a house in your neighborhood has a dog is 60%, what is the chance that you find a house with a dog before the fifth house?
Before the fifth house, there is a 75% probability of finding a house with a dog. This is due to the fact that a dog is likely to be present in a home 60% of the time, or in 3 out of every 5 homes.
The likelihood that a dog will be in a house before the sixth house is determined by that likelihood. If there is a 60% chance that a home has a dog, then 3 out of every 5 homes have a dog. There is a 3/5 chance that we will find a home with a dog if we consider 4 houses before the fifth. P(A) = 1 - (1-P(A))n, where P(A) is the probability of finding a house with a dog before the fifth house and n is the number of houses, can be used to determine the likelihood of discovering one before the fifth house (4 in this case). Hence, P(A) is equal to 1 - (1 - 0.6)4 = 0.75, or 75%. This indicates that before the sixth house, there is a 75% chance that you will locate a home with a dog.
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17. In which of the following drawings is DE parallel to AC?
Answer:
option D is pretty close but not parallel obviously
Nine players on a baseball team are arranged in the batting order. What is the probability that the first two players in the lineup will be the center fielder and the shortstop, in that order?
Answer: The probability of the first player being the center fielder is 1 out of 9 because there is only one center fielder on the team.
After the center fielder is chosen, there are 8 players remaining, and the probability of the second player being the shortstop is 1 out of 8 because there is only one shortstop on the team.
To calculate the probability of both events occurring in order, we multiply the individual probabilities:
Probability = (1/9) * (1/8) = 1/72
Therefore, the probability that the first two players in the lineup will be the center fielder and the shortstop, in that order, is 1 out of 72.
Graph the point [3,-1]
In a lab experiment, the decay of a radioactive isotope is being observed. At the beginning of the first day of the experiment the mass of the substance was 1300 grams and mass was decreasing by 14% per day. Determine the mass of the radioactive sample at the beginning of the 11th day of the experiment.
Answer:
At the beginning of the 11th day, the mass of the radioactive sample was 201.87 grams.
Step-by-step explanation:
Let's call the mass of the substance after n days "m". We can calculate the mass for each day using the formula:
m = 1300 * (1 - 0.14)^n
Plugging in n = 11:
m = 1300 * (1 - 0.14)^11
m = 1300 * 0.15572634
m = 201.87 grams
So at the beginning of the 11th day, the mass of the radioactive sample was 201.87 grams.
The x-intercept of the line whose equation is x - y = 3
Answer:
x = 3
written as a point:
(3,0)
Step-by-step explanation:
For any function you can find the x-intercepts by letting y = 0 (and also the y-intercept by letting x = 0 but we don't need this right now)
Here, given:
x - y = 3
and let y = 0
x - 0 = 3
x = 3 So the x-intercept is at 3. Written as a point, it is the point (3,0)
begin{tabular}{|r|l|r|r|} \hline 3 & Below are your numerical inputs for the problem: \\ \hline 4 & Initial Cost (\$) & 390000 \\ \hline 5 & Year 1 Revenues (\$) & 192000 \\ \hline 6 & Year 1 Costs (\$) & 125000 \\ \hline 7 & Inflation & 2.75% \\ \hline 8 & Project Duration (years) & 6 \\ \hline 9 & Depreciation Method & \\ \hline 10 & Tax Rate & \\ \hline 11 & Net Working Capital (\% oft+1 Revenues) & MACRS \\ \hline 12 & Salvage Value (\$) & 28.00% \\ \hline 13 & Cost of Capital & 15.00% & 245000 \\ \hline \end{tabular} How much are the year 1 operating cash flows (OCF)? How much is the depreciation expense in year 3 ? What is the change in Net Working Capital (NWC) in year 2? What is the net cash flow from salvage (aka, the after-tax salvage value, or ATSV)? What is the project's NPV? Would you recommend purchasing the ranch? Briefly explain.
Information is needed to evaluate the project's financial viability, considering factors such as the initial investment, expected cash flows, cost of capital, and project duration.
To calculate the year 1 operating cash flows (OCF), we need to subtract the year 1 costs from the year 1 revenues:
OCF = Year 1 Revenues - Year 1 Costs
OCF = $192,000 - $125,000
OCF = $67,000
To find the depreciation expense in year 3, we need to determine the depreciation method. The provided information is incomplete regarding the depreciation method, so we cannot calculate the depreciation expense in year 3 without knowing the specific method.
The change in Net Working Capital (NWC) in year 2 can be determined by multiplying the Net Working Capital percentage (given as a percentage of t+1 revenues) by the year 1 revenues and subtracting the result from the year 2 revenues:
Change in NWC = (Year 2 Revenues - Net Working Capital percentage * Year 1 Revenues) - Year 1 Revenues
Without the specific Net Working Capital percentage or Year 2 Revenues values, we cannot calculate the exact change in NWC in year 2.
The net cash flow from salvage (ATSV) is calculated by multiplying the Salvage Value percentage by the Initial Cost:
ATSV = Salvage Value percentage * Initial Cost
ATSV = 28% * $390,000
ATSV = $109,200
To calculate the project's NPV, we need the cash flows for each year, the cost of capital, and the project duration. Unfortunately, the information provided does not include the cash flows for each year, so we cannot calculate the project's NPV.
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The complete question is:
Below are your numerical inputs for the problem: 4 & Initial Cost (\$) & 390000 5 & Year 1 Revenues (\$) & 192000 6 & Year 1 Costs (\$) & 125000 7 & Inflation & 2.75% 8 & Project Duration (years) & 6 9 & Depreciation Method & 10 & Tax Rate & 11 & Net Working Capital (\% oft+1 Revenues) & MACRS 12 & Salvage Value (\$) & 28.00% 13 & Cost of Capital & 15.00% & 245000 How much are the year 1 operating cash flows (OCF)? How much is the depreciation expense in year 3 ? What is the change in Net Working Capital (NWC) in year 2? What is the net cash flow from salvage (aka, the after-tax salvage value, or ATSV)? What is the project's NPV? Would you recommend purchasing the ranch? Briefly explain.
what is the area of a circle with a radius of 4 inches?
Can somebody plz help answer all of the questions!!!
WILL MARK BRAINLIEST WHOEVER ANSWERS FIRST :DDDDD
Answer:
.33, 33/100
.04, 2/5
.32, 8/25
.11, 11/100
.95, 19/20
Step-by-step explanation:
brainliest pls
Answer:
19. 0.33, 1/3
20. 0.04, 1/25
21. 0.32, 8/25
22. 0.11, 11/100
23. 0.95, 19/20
Step-by-step explanation:
Please answer correctly !!!! Will mark brainliest !!!!!!!!!!
Answer:
\(2x^2-x+3\)
Step-by-step explanation:
So just divide the areas by the length:
\(2x^2-x+3\)
And that is your width.
Answer:
iddk
Step-by-step explanation:
if r(t) = 3e2t, 3e−2t, 3te2t , find t(0), r''(0), and r'(t) · r''(t).
As per the given data, r'(t) · r''(t) = \(108e^{(2t)} - 72e^{(-2t)} + 72te^{(2t)\).
To discover t(zero), we want to alternative 0 for t inside the given feature r(t). This offers us:
\(r(0) = 3e^{(2(0)}), 3e^{(-2(0)}), 3(0)e^{(2(0)})\\\\= 3e^0, 3e^0, 0\\\\= 3(1), 3(1), 0\\\\= 3, 3, 0\)
Therefore, t(0) = (3, 3, 0).
To find r''(0), we need to locate the second one derivative of the given feature r(t). Taking the by-product two times, we get:
\(r''(t) = (3e^{(2t)})'', (3e^{(-2t)})'', (3te^{(2t)})''= 12e^{(2t)}, 12e^{(-2t)}, 12te^{(2t)} + 12e^{(2t)}\)
Substituting 0 for t in r''(t), we have:
\(r''(0) = 12e^{(2(0)}), 12e^{(-2(0)}), 12(0)e^{(2(0)}) + 12e^{(2(0)})\\\\= 12e^0, 12e^0, 12(0)e^0 + 12e^0\\\\= 12(1), 12(1), 0 + 12(1)\\\\= 12, 12, 12\)
Therefore, r''(0) = (12, 12, 12).
Finally, to discover r'(t) · r''(t), we need to calculate the dot made of the first derivative of r(t) and the second spinoff r''(t). The first spinoff of r(t) is given by using:
\(r'(t) = (3e^{(2t)})', (3e^{(-2t)})', (3te^{(2t)})'\\\\= 6e^{(2t)}, -6e^{(-2t)}, 3e^{(2t)} + 6te^{(2t)\)
\(r'(t) · r''(t) = (6e^{(2t)}, -6e^{(-2t)}, 3e^{(2t)} + 6te^{(2t)}) · (12, 12, 12)\\\\= 6e^{(2t)} * 12 + (-6e^{(-2t)}) * 12 + (3e^{(2t)} + 6te^{(2t)}) * 12\\\\= 72e^{(2t)} - 72e^{(-2t)} + 36e^{(2t)} + 72te^{(2t)\)
Thus, r'(t) · r''(t) = \(108e^{(2t)} - 72e^{(-2t)} + 72te^{(2t)\).
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I had to repost this, but can someone help me with us?
Answer:
I'll solve 27. To give you a hint.
m2 = 1 + 3x
180 = 1 + 3x
-1 -1
179 = 3x
/3 /3
x = 59.6666667 rounded up
x = 59.67
sorry for the delay.
Step-by-step explanation:
25)
29 + 29 = a
180 - a = x
x = ?
26)
180 - 80 = a
(divide a by two)
a /2 = x
x = ?
27) (I noticed someone did this question, but it's not the right answer)
{m∠2 is the measure of angle two, not 2 degrees just in case you get confused.}
180 - 130 = a
a /2 = m∠ 2
(once you have found out the measure of angle two, use it to plug in the given equation to find the value of x.)
m∠ 2 = 1 + 3x
28)
180 - 90 = a
a /2 = m∠ 2
m∠ 2 = 2x + 21
x = ?
29) {Triangle E will be the left triangle with an angle of 68 degrees. Triangle F will be the right triangle with an angle of x degrees.}
68 + 68 = a
180 - a = b
{since b is part of the right angle, 90 degrees, in Triangle E. remember that the red-colored box-shaped angle is right angle aka measure angle is 90 degrees.}
90 - b = c
{since c is another part of the right angle in Triangle F}
180 - c = d
d /2 = value of x
x = ?
30) again, the same way to solve this like in the previous question.
{Triangle G will be the left triangle with an angle of 68 degrees. Triangle H will be the right triangle with an angle of x degrees.}
77 + 77 = a
180 - a = b
{since b is part of the right angle, 90 degrees, in Triangle G.}
90 - b = c
{since c is another part of the right angle in Triangle H}
180 - c = d
d /2 = value of x degrees
x = ?
31) same way, again. do you remember that we were solving for x in the last two questions? We're doing the same thing again, but this time, we're solving for m∠ 2 {measure of angle two in Triangle K} in order to use the given equation {m∠ 2 = 5x + 14} to find the value of x}
{Triangle J will be the left triangle with an angle of 61 degrees. Triangle K will be the right triangle with m∠2, the measure of angle two }
61 + 61 = a
180 - a = b
{since b is part of an angle 90 degrees in Triangle J, let's find the other part of the right angle in Triangle K}
90 - b = c
180 - c = d
d /2 = m∠ 2
(now use that m∠ 2 and plug it in the equation to find the value of x)
m<2 = 5x + 14
x = ?
32) Triangle L will be the left triangle with an angle of x degrees. Triangle M will be the right triangle with an angle of 38 degrees.
{since 38 degrees is already part of the right angle, 90 degrees in Triangle M. We can use it to find the other part of the right angle in Triangle L.}
90 - 38 = a
(notice that a is equal to m∠ 2 in Triangle L)
a = m∠ 2
m∠ 2 = 9x - 2
x = ?
-----------------------------------------------------------
33) "In any triangle, the smallest angle is always across from the shortest side and the largest angle is always across from the longest side."
basically, the longest side of a triangle is opposite to/faces the largest angle. the smallest side of a triangle is opposite to/faces the smallest angle. Always.
Side JL, 21, is the largest side length and is opposite to angle K, which is the largest angle.
Side JK, 15, is the smallest side length and is opposite to angle L, which is the smallest angle.
The angle J is in between angle K and angle L
34) reminder: the longest side of a triangle is opposite to/faces the largest angle. the smallest side of a triangle is opposite to/faces the smallest angle.
Side TV, 12, is the largest side length and is opposite to angle U.
Side UV, 7, is the smallest side length and is opposite to angle T.
The angle V is in between angle U and angle T
ANSWER:
25) x = 128
26) x = 50
27) m∠2 = 25, x = 8
28) m∠2 = 45, x = 12
29) b = 44, x = 67
30) b = 26, x = 58
31) b = 58, m∠2 = 74, x = 12
32) m∠2 = 52, x = 6
33)angle L, angle J, angle K
34) angle T, angle V, angle U