Please solve this and show the steps on how you got your answer
well, let's take a look at the tickmarks on the triangle, the tickmarks mean that AC = CB, both AC and CB stemming out of vertex C, and both twin sides will make twin angles at the "base" or namely ∡A = ∡B, that means that 34 = x - 5, let's also recall that the sum of all interior angles in a triangle is 180°, so
\(34=x-5\implies \boxed{39=x} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\measuredangle A}{34}~~ + ~~\stackrel{\measuredangle B}{34}~~ + ~~\stackrel{\measuredangle C}{4y}~~ = ~~180\implies 68+4y=180 \\\\\\ 4y=112\implies y=\cfrac{112}{4}\implies \boxed{y=28}\)
Answer:
y = 28
Step-by-step explanation:
The dashes on line segments AC and BC indicate that the line segments are equal in length.
Therefore, as the triangle has two sides of equal length, it is an isosceles triangle.
The base angles of an isosceles triangle are equal, therefore ∠A = ∠B.
Interior angles of a triangle sum to 180°.
Therefore:
⇒ ∠A + ∠B + ∠C = 180°
⇒ 34° + 34° + 4y° = 180°
⇒ 68° + 4y° = 180°
⇒ 4y° = 112°
⇒ y = 112° ÷ 4°
⇒ y = 28
PLEASE HELP giving 30 points
The graph shows f(x). The absolute value function g(x) is described in the table.
x g(x)
−4 6
−2 4
0 2
2 4
4 6
If g(x) = f(x) + k, what is the value of k?
k = −3
k = −2
k = 2
k = 3
By answering the presented question, we may conclude that As a result, equation k = 3 is the value of k that fulfils g(x) = f(x) + k for all values of x. k = 3 is the answer.
What is equation?An equation in mathematics is a statement that states the equality of two expressions. An equation is made up of two sides that are separated by an algebraic equation (=). For example, the argument "2x + 3 = 9" asserts that the phrase "2x Plus 3" equals the number "9." The purpose of equation solving is to determine the value or values of the variable(s) that will allow the equation to be true. Equations can be simple or complicated, regular or nonlinear, and include one or more elements. The variable x is raised to the second power in the equation "x2 + 2x - 3 = 0." Lines are utilised in many different areas of mathematics, such as algebra, calculus, and geometry.
Because g(x) = f(x) + k, we can use the numbers we determined earlier to solve for k. For example, if x = -4, we get:
g(-4) = f(-4) + k 6 = -3 + k\sk = 9
k = 6 - (-3) = 9 for x = -4.
When x is -2, k equals 4 - (-1) = 5.
When x is equal to zero, k = 2 - 1 = 1.
With x equals 2, k = 4 - 3 = 1
When x equals 4, k equals 6 - 5 = 1.
We may take the average of these k values since we want k to be a constant value that holds true for all values of x.
k = 9 + 5 + 1 + 1 + 1) / 5 = 3
As a result, k = 3 is the value of k that fulfils g(x) = f(x) + k for all values of x. k = 3 is the answer.
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Error Analysis
A student says that √7 is a rational number because you can write √7 as the ratio or quotient
of √7(fraction) √7 over 1 , is the student correct? Explain your answer.
Answer:
No
Step-by-step explanation:
Ive had the same equation before.
PLEASE WILL MARK BRAINLIST 20 POINTS
Answer: Perimeter of given square:40,Area of given square:100
Perimeter of Dilated square:200
Area of Dilated square: 2500
Step-by-step explanation:
Which table of values represents exponential decay?
The table of values that represents exponential decay is (c)
How to determine the table of values represents exponential decay?From the question, we have the following parameters that can be used in our computation:
The table of values
An exponential function is represented as
y = abˣ
Where
Rate = b
When the rate is less than 1, then the table represents a decay
i.e when y reduces as x increases
The table that has the above features is the table (c)
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Ayuden por favor, no entiendo este problema
We will get that the angle theta is:
θ = β/2
How to find the value of theta?Remember that the sum of the interior angles of any triangle must be equal to 180°.
Now, looking at the triangle in the left, we can see that the top angle is equal to:
180 - 2α
The right angle is equal to:
180 - 2β
And the left angle is α
Then we can write:
α + (180 - 2α) + (180 - 2β) = 180
-α - 2β = -180
α = 180 - 2β
Now we can go to the other triangle, where theta is, and write:
α + β + 2θ = 180
Replacing what we found above, we get:
180 - 2β + β + 2θ = 180
-β + 2θ = 0
θ = β/2
That is the best simplification we can get with the given diagram.
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Linda is driving to denver let y represent her distance in miles let x represent the time she jas been driving in hours suppose that x and y are related by the equation y=-65x+475 what is the change in Linda distance from Denver for each hour she drives
The change in Linda's distance from Denver for each hour she drives is -65 miles.
The given equation, y=-65x+475, represents a linear relationship between Linda's distance from Denver (y) and the time she has been driving (x). The coefficient of x (-65) represents the rate at which Linda's distance from Denver is changing with respect to time. Since the coefficient is negative, it means that Linda's distance from Denver is decreasing at a rate of 65 miles per hour. Therefore, for each hour she drives, her distance from Denver decreases by 65 miles.
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Consider the isosceles trapezoid in the figure shown.
If PQ 6.5 cm and SR 12 cm, what is the value of x?
4cm
5.25cm
9.25cm
11.25cm
Answer:
(1/2)(6.5 + 12) = x + 4
(1/2)(18.5) = x + 4
9.25 = x + 4
x = 5.25 cm
Fill in the blanks with two consecutive integers to complete the following inequality.
? < √97 < ?
Answer:
9 < √97 < 10
Step-by-step explanation:
√97 is a little less than √100
Which is 10
9 < √97 < 10
=====================================================
Explanation:
Consider that 81 < 97 < 100 is a true statement. Note the 81 and 100 are perfect squares such that 81 = 9^2 and 100 = 10^2
We can apply the square root to all three sides to get the following
\(81 < 97 < 100\\\\\sqrt{81} < \sqrt{97} < \sqrt{100}\\\\\sqrt{9^2} < \sqrt{97} < \sqrt{10^2}\\\\9 < \sqrt{97} < 10\\\\\text{The number }\sqrt{97} \text{ is between 9 and 10}\\\\\)
Using a calculator, we can help verify this
\(\sqrt{97} \approx 9.85\)
a ring is now reduced to £840
this is saving 40% of the original price
work out the original price of the ring
Answer:
The original price of the ring is 1400 pounds. So, 100 pounds is equivalent to= (840/60)* 100 = 1400 pounds.
Answer:
1400 pounds
Step-by-step explanation:
the ring is now worth 60% of its original price
the percentage in decimal is equal: 60% = 0.6
\(\frac{840}{0.6} =1400\)
Hope this helps
If EF = 4x-15, FG=3x-7, and EG =20, find the value of x, EF and FG. The drawing is not to scale.
Step-by-step explanation:
EF = 4x - 15
FG = 3x - 7
EG = EF + FG = 20
so,
4x - 15 + 3x - 7 = 20
7x - 22 = 20
7x = 42
x = 6
EF = 4×6 - 15 = 9
FG = 3×6 - 7 = 11
Can a triangle be formed with side lengths 15, 7, and 6? Explain.
Answer:
No.Step-by-step explanation:
The sides would be unbalanced. To get the sides of a triangle, you have to add up the first two sides. The two sides combined usually have to be less than or equal to 15 to be considered "balanced". 22 is greater than 15, so that would leave you with an unbalanced triangle, sometimes considered degenerate. A degenerate triangle is a flat triangle that almost looks like a line. The triangle's vertices all lie on the same line, which makes it look very flat. That's why degenerate triangles are rarely considered "balanced" in regards to unit measures. So, given this is an unbalanced triangle, the answer to your question would be no.
Hope this helps!
FILL IN THE BLANK a/an ____________________________ diagram can be used to show how the tables in a database are defined and related..
A/an database schema diagram can be used to show how the tables in a database are defined and related.
This type of diagram provides a visual representation of the structure and organization of the database. It illustrates the tables ,and their attributes, and the relationships between them.
The database schema diagram helps in the understanding the logical design of the database, including primary keys, for foreign keys, and the connections between different tables. It allows developers, database administrators, and stakeholders to visualize the database structure and serves it as a reference for in designing, modifying, and querying the database effectively.
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HELP 276.5 divided by 7.9.
\(\dfrac{276.5}{7.9}\\\\\\=\dfrac{276.5 \times 10}{7.9 \times 10}\\\\\\=\dfrac{2765}{79}\\\\\\=\dfrac{79 \times 35}{79}\\\\\\=35\)
420.9536 Find the digits in the ones place, in the tenths place, and in the thousandths place for the following number.
Answer:
ones: 0
tenths: 9
thousandths: 3
Step-by-step explanation:
Because 0 is at the beginning of the whole "part" of the number, it is a "one" in place value (confusing right??) for example, in the number 54,743, 3 would be the digit in the ones place.
Because 9 is one decimal place across the example number, it is a tenth - because you would need 10 lots of 0.1 in order to make a whole number.
Because 3 is three decimal places across the example number, it is a thousandth - because you would need 1000 lots of 0.001 to make a whole number.
A good way of remembering these decimal place values is by using the number of zeros after 10, 100, 1,000, 10,000, and so on (one zero is a ten-th, two zeros is a hundred-th, etc, etc.)
Find the value of A) 3/5 multiplied by - 2/7, B) - 1/5+-1/3
A. -2/7
B. -8/15
hope it helps...!!!
hello people ~
factorise: x ^ 2 = 17x + 60
Answer:
\(\rightarrow \sf x^2=\:17x\:+\:60\)
change sides
\(\rightarrow \sf x^2 -17x -60 = 0\)
breakdown, (60 : 20 * 3)
\(\rightarrow \sf x^2 -20x +3x-60 = 0\)
factor the following
\(\rightarrow \sf x(x -20) +3(x-20) = 0\)
collect into groups
\(\rightarrow \sf (x +3)(x-20) = 0\)
final answer
\(\rightarrow \sf x=-3, \ 20\)
Answer:
(x-20) (x+3) =0
Step-by-step explanation:
x ^ 2 = 17x + 60
Subtract 17x from each side
x ^ 2 - 17x = 60
Subtract 60 from each side
x ^ 2 - 17x - 60=0
What 2 numbers multiply by -60 and add to -17
-20 * 3 = -60
-20 +3 = -17
(x-20) (x+3) =0
AGAINN.... HELP MEH PLZZZZZZZZZZZ! YOU'LL GET BRAINLIEST!
Step-by-step explanation:
• P (-10 , 0)• Q (-2, 0)• R (0, -4)Answer:hey sry I’m here now
Step-by-step explanation:
the hang-time function , relates vertical leap to hang time. a player has a vertical leap of 39 in. what is his hang time?
The player with a 39-inch vertical leap has a hang time of approximately 0.9014 seconds.
To determine the hang time of a player with a 39-inch vertical leap, we'll use the hang-time function, which relates vertical leap to hang time.
Step 1: Convert inches to feet by dividing the vertical leap by 12 (since there are 12 inches in a foot).
39 inches ÷ 12 = 3.25 feet
Step 2: Use the hang-time function formula, which is: Hang Time = √(8 × Vertical Leap ÷ Gravity), where gravity is approximately 32 feet per second².
Hang Time = √(8 × 3.25 ÷ 32)
Step 3: Calculate the hang time.
Hang Time = √(26 ÷ 32) ≈ √(0.8125) ≈ 0.9014 seconds
The player with a 39-inch vertical leap has a hang time of approximately 0.9014 seconds.
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Please answer correctly !!!!!!!!!!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!!!!!!!
Answer:
92 degrees
Step-by-step explanation:
<HEF and <AED are vertical angles.
choose an american adult at random. the probability that you choose a woman is 0.52. the probability that the person you choose has never been married is 0.25. the probability that you choose a woman who has never been married is 0.11. the probability that person you choose is either a woman or has never been married (or both) is therefore about a. 0.77 b. 0.66 c. 0.44 d. 0.38
Using probability of union set,
the probability that person you choose is either a woman or has never been married is 0.66..
We have given that
If X be random variable that an American adult selected.
Assume that
A : selected adult is a women
B : selected adult has never married
Probability that you choose a woman, P(A) = 0.52
Probability that the person you choose has never been married , P(B) = 0.25
Probability that you choose a woman who has never been married , P(A∩B) = 0.11
we have to calculate probability that person you choose is either a woman or has never been married, P(A∪B)
Using the formula,
P(A∪B ) = P(A) + P(B) - P(A∩B)
pluging all known values in above formula we get
=> P(A∪B ) = 0.52 + 0.25 - 0.11
=> P(A∪B) = 0.77 - 0.11 = 0.66
Hence, the required probability is 0.66..
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Please view he screenshot and answer and explain.
A gymnast earned a score of 9.438 on the uneven bars and a score of 8.75 on the balance beam. How much greater was her score on the uneven bars?
Answer: 0.688
Step-by-step explanation:
Answer:
0.688
Step-by-step explanation:
9.438 - 8.75 = 0.688
x=???????? ASAPPppppp
Answer:
x=2
Step-by-step explanation:
12=12 2=2
the sides have the same x
Point K is located at (7, 4) in the coordinate plane. Its image is created by the following rule: K' = Ro270°(K).
Which transformation of point K would produce the same result for K as seen in the previous question?
P.S. Pervious question
Point K is located at (7,4) in the coordinate plane. Its image is created by the following rule:
K'=Ro 270°^(k)
What are the coordinates of k'?
A. (4,-7)
B. (4, 7) This is the correct answer.
C. (7, -4)
D. (-7, 4)
After the transformation of 270° clockwise rotation we get K(7, 4)→K'(-4, 7). Therefore, option B is the correct answer.
The given coordinate point is (7, 4).
What is the transformation?A transformation is a general term for four specific ways to manipulate the shape and/or position of a point, a line, or geometric figure. The original shape of the object is called the Pre-Image and the final shape and position of the object is the Image under the transformation.
Rotation of object 270° clockwise direction
The rule of rotating a figure 270 degrees clockwise is (x, y)→(-y, x)
So, K(7, 4) rotated by 270° clockwise we get K'(-4, 7).
After the transformation of 270° clockwise rotation we get K(7, 4)→K'(-4, 7). Therefore, option B is the correct answer.
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5. A ribbon is cut into two pieces. The length of the longer piece is 60 inches and the length of
the shorter piece is 12 inches.
A) How many times the length of the shorter piece is the longer piece?
B) What is the total length of the ribbon?
The number of times the length of the shorter piece is the longer piece is 5 and The total length could be 72 inches.
What is ratio ?
ratio can be defined as the given value divided by the total value.
Given ,
A ribbon is cut into two pieces. The length of the longer piece is 60 inches and the length of the shorter piece is 12 inches.
The number of times the length of the shorter piece is the longer piece is
let the number of times be x .
so,
x = 60/12
x = 5
The total length could be = 60+12 = 72
hence, The number of times the length of the shorter piece is the longer piece is 5 and The total length could be 72 inches.
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what is the lcm of 48
Answer:
4 is the lcm if you forgot the space in 4 and 8
Step-by-step explanation:
answer: 4 is the answer when 4 and 8 are are not together
y=3.8x10 \(x^{5}\)
the goal is to test to determine if there is a significant difference between mean value added by the manufacturer and the mean cost of materials in manufacturing assuming a 1% level of significance. use excel to perform the f-test for equality of variances at the 1% significance level. which variable will be group 1? what can you conclude from running the f-test?
If the resulting F-statistic is less than the critical value, we fail to reject the null hypothesis and conclude that there is not enough evidence to suggest that the variances are significantly different.
The F-test is a statistical test used to compare the variances of two groups.
In this problem, we will use it to compare the variance of the value added by the manufacturer and the variance of the cost of materials in manufacturing. The F-test is performed by dividing the larger variance by the smaller variance. The resulting F-statistic is then compared to the critical value of an F-distribution with degrees of freedom equal to the sample size minus one for each group.
Before we can perform the F-test, we need to determine which variable will be group 1. Typically, the variable with the smaller mean is designated as group 1. This is because we want to minimize the chance of making a type II error, which is failing to reject the null hypothesis when it is false. If we designated the variable with the larger mean as group 1, we might not detect a significant difference between the groups, even if one exists.
Once we have designated which variable will be group 1, we can perform the F-test. If the resulting F-statistic is greater than the critical value of the F-distribution, we reject the null hypothesis and conclude that the variances are significantly different.
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Santiago can text 74 words in 4 minutes. At this rate, how many minutes would it take him to text 37 words?
Fill out the table of equivalent ratios until you have found the value of x.
Answer:
To find the value of x in this situation, you can set up a proportion using equivalent ratios. The equivalent ratios will show the relationship between the number of words Santiago can text and the time it takes him to text them.
74 words : 4 minutes :: 37 words : x minutes
To solve for x, you can cross-multiply and divide:
74 * x = 37 * 4
x = (37 * 4) / 74
This simplifies to:
x = 2 minutes.
Step-by-step explanation: