Answer:
<E= 147
<F= 33
<D= 90
Step-by-step explanation:
<E and the labeled angles are equal because they are vertical angles
<F and the labeled angles are supplementary so 180-147=33
<D is 90 because the angle next to it is a right angle which we know because it is L shaped and has a square in the corner :D
Answer:
The rope is 94.65 feet.
Step-by-step explanation:
The constant of proportionality represented by K will be 1/3 which is shown in the given graph.
<h3>What is the constant of proportionality?</h3>
Firstly, there is a proportional relationship.
Two values x and y are said to be in a proportional relationship if x = ky, where x and y are variables and k is a constant.
The constant k is called the constant of proportionality.
The proportional relationship between x and y can be written symbolically as
![x \propto y](https://tex.z-dn.net/?f=x%20%5Cpropto%20y)
That middle sign is called a sign of proportionality.
In the given graph x line and y line have been graphed.
Since the relation between them has been represented by a straight line, so their relationship can be represented by
x = K × y
where K is the proportionality constant.
Now K = ![\dfrac{x}{y}](https://tex.z-dn.net/?f=%5Cdfrac%7Bx%7D%7By%7D)
= ![\dfrac{2}{6}](https://tex.z-dn.net/?f=%5Cdfrac%7B2%7D%7B6%7D)
= 1/3
therefore, the constant of proportionality will be 1/3.
Learn more about proportionality ;
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Answer:
52/63
Step-by-step explanation:
Given the expression
4/7 * 13/9
Taking the product
= (4*13)/(7*9)
= 52/63
Hence the product of both fractions is 52/63
9514 1404 393
Answer:
x = 1.8
Step-by-step explanation:
Put the known value in the equation and solve for x.
y = -10x +16
-2 = -10x + 16 . . . . . use -2 for y
-18 = -10x . . . . . . . . subtract 16
1.8 = x . . . . . . . . . . divide by -10
The value of x is 1.8 when y = -2.