SOLUTION:
We are to find the sum of interior angles of a triangle.
Interior angles simply means all the angles inside the triangles.
The sum of interior angles of a triangle is equal to 180 degrees, meaning that when we add all the three angles inside a triangle we must get 180 degrees.
So the sum of the interior angles of the given triangle is;
\(90^0+53.13^0+36.87^0=180^0\)Moreso, this triangle is a right angled triangle because one of the angles is a 90 degrees.
1. How many triangle make a trapezoid
A trapezoid consists of two triangles.
A trapezoid does indeed contain two triangles within its structure. A trapezoid is a quadrilateral with one pair of parallel sides.
The other two sides, known as the legs, are not parallel and meet at a point. These legs, along with the two parallel sides, form two triangles within the trapezoid.
One triangle is formed by connecting the two legs and one of the parallel sides. The other triangle is formed by connecting the two legs and the other parallel side.
So, a trapezoid consists of two triangles.
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Graph the solution to the equations below. y = 1 4 x + 2 and y = −2x −7
Part 2 Assignment (6 problems)
Use simple interest to find the ending balance!
1. If I invest $210 at 8% for 7 years. What is my ending balance?
Answer:
I
2. If I invest $14,000 at 6% for 9 years. What is my ending balance?
Answer:
3. If I invest $1,900 at 5.9% for 2.75 years. What is my ending balance?
Answer:
Answer:
1. $327.60
2. $21,560.00
3. $2,208.28
Step-by-step explanation:
The formula for simple interest is:
I = Prt
where
I = amount of interest
P = principal amount
r = annual interest rate
t = number of years
The total future amount after earning simple interest is the principal polus the interest.
F = P + Prt
F = P(1 + rt)
1.
F = P(1 + rt)
F = $210(1 + 0.08 * 7)
F = $327.60
2.
F = P(1 + rt)
F = $14,000(1 + 0.06 * 9)
F = $21,560.00
3.
F = P(1 + rt)
F = $1,900(1 + 0.059 * 2.75)
F = $2,208.28
Answer:
1. $327.60
2. $21,560.00
3. $2,208.28
Step-by-step explanation:
The formula for simple interest is:
I = Prt
Shows us;
I = amount of interest
P = principal amount
r = annual interest rate
t = number of years
Calculating Present and Future value investments to find the balance;
F = P + Prt
F = P(1 + rt)
1.
F = P(1 + rt)
F = $210(1+ (0.08 * 7)
F = $327.60
2.
F = P(1 + rt)
F = $14,000(1+ (0.06 * 9)
F = $21,560.00
3.
F = P(1 + rt)
F = $1,900(1+ (0.059 * 2.75)
F = $2,208.28
parallelograms are ___ rectangles
Parallelograms are all rectangles because a rectangle has two sets of parallel sides and two pairs of opposite sides that are equal.
What is parallelogram?Parallelogram can be defined as a simple quadrilateral with two pairs of parallel sides. The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure.
There are five important properties of parallelograms such as:
Opposite sides are congruent (AB = DC)Opposite angels are congruent (D = B)Consecutive angles are supplementary (A + D = 180°)If one angle is right, then all angles are rightThe diagonals of a parallelogram bisect each otherTherefore all rectangles are parallelograms because a rectangle has two sets of parallel sides and two pairs of opposite sides that are equal. It abides by all the properties of a parallelogram.
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The manager of a technology store wants to save $20,000 in 3 years to make a down payment on a condominium. How much (in dollars) does the manager need to invest at the beginning of each week into an account that earns 7.25% interest compounded weekly
Answer:
$16,104.35Step-by-step explanation:
the expression for compound interest is given as
\(A = P(1 + \frac{r}{n})^{nt}\)
A=$20,000
P=?
r=7.25%=0.0725
n=52 weeks
t=3 year
\(20000= P(1 + \frac{0.0725}{52})^{52*3}\\\\20000= P(1 + \frac{0.0725}{52})^{156}\\\\20000= P(1 +0.00139)^{156}\\\\20000= P(1.00139)^{156}\\\\20000=1.2419P\\\\P=20000/1.2419\\\\P=16104.35\\\)
the manager need to invest $16,104.35
If mZA = (4x - 2)° and mZB= (6x-20), what is the value of x?
To find the value of x, we can set the two angle measures equal to each other and solve for x.
Given:
mZA = (4x - 2)°
mZB = (6x - 20)°
Setting them equal to each other:
4x - 2 = 6x - 20
Now, we can solve for x:
4x - 6x = -20 + 2
-2x = -18
Dividing both sides by -2:
x = -18 / -2
x = 9
Therefore, the value of x is 9.
Answer:
The answer is 9.
Step-by-step explanation:
We need to use the fact that the sum of the angles in a triangle is 180 degrees. Let A, B, and C be the three angles in the triangle. Then we have:
mZA + mZB + mZC = 180°
Substituting the given values, we get:
(4x - 2)° + (6x - 20)° + mZC = 180°
Simplifying the left side, we get:
10x - 22 + mZC = 180°
Next, we use the fact that angles opposite congruent sides of a triangle are congruent. Since we know that segment AC and segment BC are congruent, we have:
mZA = mZB
Substituting the given values and simplifying, we get
4x - 2 = 6x - 20
Solving for x, we get:
x = 9
Therefore, the value of x is 9.
Jerry ordered 4 items online. He is charged $2.25 per pound for shipping. The items weighed 3.2 pounds, 3.8 pounds, 4 pounds, and 4.5 pounds. How much will he be charged for shipping? (Round to the nearest cent).
The total amount that he will be charged for the shipping is given as follows:
$34.88.
What is a proportional relationship?A proportional relationship is defined as follows:
y = kx.
In which k is the constant of proportionality.
Jerry is charged $2.25 per pound for shipping, hence the constant is given as follows:
k = 2.25.
Meaning that the equation for the total cost for a weight of x pounds is given as follows:
y = 2.25x.
The total weight is given as follows:
3.2 + 3.8 + 4 + 4.5 = 15.5 pounds.
Hence the total cost is given as follows:
y = 2.25 x 15.5
y = $34.88.
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Airlines have increasingly outsourced the maintenance of their planes to other companies. A concern voiced by critics is that the maintenance may be less carefully done so that outsourcing creates a safety hazard. In addition, flight delays are often due to maintenance problems, so one might look at government data on percent of major maintenance outsourced and percent of flight delays blamed on the airline to determine if these concerns are justified. This was done, and data from 2005 and 2006 appeared to justify the concerns of the critics. Do more recent data still support the concerns of the critics? Here are data from 2014:
Alaska 51.051.0 10.3510.35 Jet Blue 68.468.4 19.9319.93
American 29.429.4 20.3220.32 Southwest 58.258.2 28.4728.47
Delta 36.736.7 14.4814.48 United 52.652.6 23.4623.46
Frontier 46.346.3 21.4221.42 US Airways 54.354.3 13.6813.68
Hawaiian 78.478.4 5.065.06
Required:
a. Make a scatterplot with outsourcing percent as xx and delay percent as y.
b. Find the correlation r with and without Hawaiian Airlines.
Answer:
Please check attachment for graph
Step-by-step explanation:
B. With hawaii airline = -0.300
Without hawaii airline = 0.197
With hawaii airline
EX = 475.3
EY = 157.17
XY = 8042.11
X² = 26883.55
Y² = 3159.375
The correlation coefficient
= 72378.99-74702.9/7737.421
= -2323.91/7737.421
= -0.300
Without hawaii airline
EX = 396.9
EY = 152.11
EXY = 7645.406
X² = 20736.99
Y² = 3133.772
= 790.789/4021.161
= 0.197
The given line segment passes through the points (0, -3) and (-5, -4).
What is the equation of the line that is parallel to the given line and passes through the point (-2, 2)?
Answer:
y= 1/5x + 12/5
Step-by-step explanation:
Points: (0, -3) and (-5, -4)Line: y= mx+bSlope: m=(y2-y1)/(x2-x1)= (-4+3)/(-5-0)= -1/-5= 1/5Y-intercept: -3= 0*1/5+b ⇒ b= -3So the line is: y= 1/5x - 3Parallel line to this has same slope and passes through the point (-2, 2)
Its y- intercept is: 2= 1/5(-2)+b ⇒ b= 2+2/5= 12/5The required equation in slope- intercept form is:
y= 1/5x + 12/5Rewrite the following without an exponent (5/4)^2
PLEASE HELPP!
Answer:
16/25
Step-by-step explanation:
(5/4)^-2 = (4/5)^2 = 16/25
The given expression (5/4)⁻² is equivalent to 16/25.
To rewrite (5/4)⁻² without an exponent, we can apply the reciprocal property of exponents.
The reciprocal of (5/4)⁻² is equal to the reciprocal of 5/4 raised to the power of 2.
The reciprocal of a fraction is obtained by flipping the numerator and denominator.
So, the reciprocal of 5/4 is 4/5.
Now, we raise the reciprocal (4/5) to the power of 2.
To do this, we multiply the numerator and denominator of 4/5 by itself.
(4/5)² = (44) / (55) = 16/25
Therefore, (5/4)⁻² can be rewritten as 16/25 without an exponent.
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In A container, there are red, blue and green balls. 3/11 of ball s are red There are 35 more blue balls than red balls. The remaining 90 balls are green. How many more blue balls than green balls are there? of the balls are red.
how many eights are there in three and a quater
What is the smallest positive integer which when divided by 5 leaves a remainder of 3?
The smallest positive integer which when divided by 5 leaves a remainder of 3 is 8
How to determine the smallest positive integerFrom the question, we have the following parameters that can be used in our computation:
Divisor = 5
Remainder = 3
Using the above as a guide, we have the following:
Smallest integer = Divisor + Remainder
So, we have
Smallest integer = 5 + 3
Evaluate
Smallest integer = 8
Hence, the smallest is 8
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Amy and Zack each have 24 feet of fencing for their rectangular gardens. Amy makes her fence 6 feet long. Zack makes his fence 8 feet long. Whose garden has the better area? How much greater?
Answer:
The answer is Zack garden
2.
Use the quadratic model y = -4x^2 + 8x + 8 to predict y if x equals 100.
A. 39,208
B. –40,792
C. –39,192
D. 40,808
Answer: I can't find the answer :(
Step-by-step explanation: :(
Answer:
-4*100^2 + 8 *100 + 8
-4 * 100^2 + 800 + 8
-4 * 10000 + 808
-40000 + 808
= -39192
-39192 is the answer
Step-by-step explanation:
i found that the product of 93 and 6 is 558 how to check the answer useing addition
Answer:
ebe
Step-by-step explanation:
fdfvfvdcfvgbhnjfggtfdfgb
Quadrilateral YFGT can be mapped onto quadrilateral MKNR by a translation. If TY = 2, find RM.
Based on the information given, we can conclude that RM = 2, but we cannot determine the lengths of the other sides of the quadrilaterals without further information.
Given that quadrilateral YFGT can be mapped onto quadrilateral MKNR by a translation, we can use the information to determine the length of RM.
A translation is a transformation that moves every point of a figure by the same distance and in the same direction. In this case, the translation is such that the corresponding sides of the quadrilaterals are parallel.
Since TY = 2, and the translation moves every point by the same distance, we can conclude that the distance between the corresponding points R and M is also 2 units.
Therefore, RM = 2.
By the properties of a translation, corresponding sides of the two quadrilaterals are congruent. Hence, side YG of quadrilateral YFGT is congruent to side MK of quadrilateral MKNR, and side GT is congruent to NR. However, the given information does not provide any additional details or measurements to determine the lengths of these sides.
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Please help I’ll mark you as brainliest if correct!
Answer:
a. 64, 128, 256 (geometric)
b. 11, 13, 15 (arithmetic)
c. 53, 61, 69 (arithmetic)
Step-by-step explanation:
(a) Each term is twice the previous term. so it is geometric with a common ratio of 2
(b) The difference between each term is 2. So it is arithmetic with a common difference of 2
(c) The difference between each term is 8. So it is arithmetic with a common difference of 8
which equation shown below shows a linear relationship between x and y ?
Answer:
Its probably a because the ones with squared results in a u shape
A number, n, is divided by -1/3. The product is 6/5 what is the value of n?
Steps are attached.
Answer =》n = -2/5 = -0.4
______
RainbowSalt2222 ☔
The numbers of beads on 500 handcrafted bead necklaces follow a normal distribution whose mean is 24 beads and standard deviation is 4 beads. Which sentence most closely summarizes the data?
About 80 necklaces have more than 28 beads. Then the correct option is C.
What is a normal distribution?The Gaussian Distribution is another name for it. The most significant continuous probability distribution is this one. Because the curve resembles a bell, it is also known as a bell curve.
The numbers of beads on 500 handcrafted bead necklaces follow a normal distribution whose mean is 24 beads and the standard deviation is 4 beads.
P(x > 28) = P(x - 24 / 4 > 28 - 24 / 4)
P(x > 28) = P(x - 24 / 4 > 1)
P(x > 28) = 1 - ∅1
P(x > 28) = 1 - 0.8413
P(x > 28) = 0.1587
Multiply both sides by 500, then we have
500 P(x > 28) = 0.1587 × 500
500 P(x > 28) = 79.35
500 P(x > 28) ≈ 80
About 80 necklaces have more than 28 beads. Then the correct option is C.
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The missing options are given below.
A. About 24 devices have more than 28 beads.
B. About 48 necklaces have more than 28 beads.
C. About 80 necklaces have more than 28 beads.
D. About 96 necklaces have more than 28 beads.
You are playing a dice game in which you bet $10 and roll two dice.
If you roll 2-8, you lose your bet.
If you roll 9-10, you win $10.
If you roll 11-12, you win $50.
Answer:
(view picture)
Step-by-step explanation:
i got this from the answer section after getting it wrong the first time it’ll show the answer
What is x3+y3+z3=k? Write in a complete sentence of the origan of this equation. Must have 400 words.
That is one of the hardest equations in the world, please don't post questions that are impossible to answer or that will be considered spam.
The following is a function, f(x).
f(x) = 5 + 11x
What is the value of F(-3)? show your work
Answer:
-28
Step-by-step explanation:
Put x=-3 into the function.
5+11(-3)=5+-33.
5-33=-28
Hope I helped!
Can someone help me please
Answer:
64 cm^2
Step-by-step explanation:
SA = s^2 + 2sl
= 4^2 + 2(4)(6)
= 64 cm^2
FASTTTTTTTTTTTTTTTTTTTTTT 50 POINTS +BRAINLIEST
Answer:
\(\huge\boxed{\sf Option \ 2}\)
Step-by-step explanation:
\(\sf (\frac{4}{5})^3 \\\\\)
This means that 4/5 repeats itself 3 times.
So,
\(\sf = \frac{4}{5} * \frac{4}{5} * \frac{4}{5} \\\\= \frac{64}{125} \\\\\rule[225]{225}{2}\)
Hope this helped!
~AH1807Answer: Choice 2: 4/5 • 4/5 • 4/5 = 64/125
Step-by-step explanation: The exponent tells you how many times you have to multiply the 4/5. Since the exponent is 3, we know to multiply 4/5 with itself 3 times, like this: 4/5 • 4/5 • 4/5, which will get us 64/125
Use the graph below to identify the key characteristics.
This graph represents exponential (growth or decay) .
The y-intercept, written as a coordinate point, is
The horizontal asymptote is
**For domain and range, please use "inf" for infinity**
The domain is
The range is
The characteristics of the function graphed are given as follows:
The graph represents exponential growth.The y-intercept, written as a coordinate point, is (0,2).The horizontal asymptote is y = 2.The domain is: (-Inf, Inf).The range is: (2, Inf).How to obtain the characteristics of the function?As the function is increasing, the graph represents exponential growth.
The y-intercept is the value of y at which the graph crosses the y-axis, hence:
y = 2, point (0,2).
Which is also the horizontal asymptote, as it is the lowest value assumed by the function.
The domain and range are given as follows:
Domain: (-Inf, Inf), as the function is defined for all real values.Range: (2, Inf) -> values of y.More can be learned about functions at https://brainly.com/question/24808124
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7
5
+
3
2
1 A 3 B(4,0) 6 7
12,0
-7
-5
D(1,2)
C(5-2)
.
Which of the following is the image of C after a rotation of 180° about the origin?
(-5.2)
0 (-5,-2)
(-2.5)
Answer:
can you take a picture of you problem
Drag the point A to the location indicated in each
scenario to complete each statement.
Answer:
The answer is...
1: quadrant III
2: quadrant II
3: quadrant IV
4: quadrant I
Step-by-step explanation:
If A is in quadrant |, and is multiplied by a negative scalar C, CA is in Quadrant |||, If A is in quadrant ||, and is multiplied by a positive scalar C, CA is in Quadrant ||, If A is in quadrant ||, and is multiplied by a negative scalar C, CA is in Quadrant |V and If A is in quadrant ||I, and is multiplied by a negative scalar C, CA is in Quadrant |.
What is Coordinate system?Coordinate system is a system that uses one or more numbers, or coordinates, to uniquely determine the position of the points.
The point A to the location indicated in each scenario.
If A is in quadrant |, and is multiplied by a negative scalar C, CA is in Quadrant |||
If A is in quadrant ||, and is multiplied by a positive scalar C, CA is in Quadrant ||
If A is in quadrant ||, and is multiplied by a negative scalar C, CA is in Quadrant |V
If A is in quadrant ||I, and is multiplied by a negative scalar C, CA is in Quadrant |.
Hence, A is in quadrant |, and is multiplied by a negative scalar C, CA is in Quadrant |||, If A is in quadrant ||, and is multiplied by a positive scalar C, CA is in Quadrant ||, If A is in quadrant ||, and is multiplied by a negative scalar C, CA is in Quadrant |V and If A is in quadrant ||I, and is multiplied by a negative scalar C, CA is in Quadrant |.
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What is the function?
Answer:
f(x) = x² + 6 for x < 3
and
f(x) = -x + 6 for x ≥ 3
Step-by-step explanation:
you have to break it up into two separate parts
for x less than 3 is a parabola x² where y = 6 when x = 0
f(x) = x² + 6 for x < 3
and
for x ≥ 3 the function is a line two points (3, 3) and (0, 6)
the slope m = (3 - 6) / (3 - 1) = -1
y intercept = 6 when x = 0
f(x) = -x + 6 for x ≥ 3