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Westkost [7]
3 years ago
15

The model below, the anchor of a guy-wire is 16 feet away from the telephone pole. John puts a 5 foot pole under the guy-wire pa

rallel to the telephone pole (see image below).
John knows the distance he put his pole from the anchor, which is labeled X. John says he can use similar triangles to calculate the height of where the guy-wire meets the telephon
ble.
o you agree with John's statement that he can prove similarity if we know side x? Provide mathematical justification.
h
5 ft
16 ft
В І у

Mathematics
1 answer:
beks73 [17]3 years ago
8 0

Answer:

Yes, because the two triangles share common segments.

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What fraction is equivalent to 36/60 and the sum of the numerator and denominator is 24
almond37 [142]

Answer:

The fraction is \frac{9}{15}

Step-by-step explanation:

\frac{36}{60} = \frac{x}{y}

Where x and y are the numerator and denominator of our new fraction respectively.

Also given is that x + y = 24

So  \frac{x}{y} = 36 ÷ 60 = 0.6

x = 0.6y

Substituting x in x + y = 24 gives;

0.6y + y = 24 , 1.6y = 24

y = 24 ÷ 1.6 = 15

x = 24 - 15 = 9

So our fraction is \frac{9}{15}

5 0
3 years ago
Find the equation in terms of x of the line through the points (-4,-4) and (5,-5)
zhuklara [117]

Answer:

The answer to your question is:  y = -1/9 x - 40/9

Step-by-step explanation:

Data

A (-4 , -4)

B (5, -5)

Formula

m = (y2 - y1) / (x2 - x1)

y = mx + b

(y - y1) = m(x - x1=

Process

m = (-5 + 4) / (5 + 4)

m = -1 / 9

( y +4) = -1/9 (x + 4)

y + 4 = -1/9 x - 4/9

y = -1/9 x - 4/9 - 4

y = -1/9 x - 4/9 - 36/9

y = -1/9 x - 40/9

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