allietaylor2023
Answered

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Assume the four intersecting lines are parallel. In this figure, A = 36, B = 24, and C = 60 . If D = 33,
what are the measurements of E and F?

Assume The Four Intersecting Lines Are Parallel In This Figure A 36 B 24 And C 60 If D 33 What Are The Measurements Of E And F class=

Sagot :

akposevictor

Using the proportionality theorem, the measurements are: c. E = 22 and F = 55.

What is the Proportionality Theorem?

If two transversals intersect three or more parallel lines, they divide the lines in such a way that the smaller segments are proportional to each other or have ratios that are equal to each other.

Given the following:

A = 36,

B = 24,

C = 60

D = 33.

Since all lines are parallel, then:

A/D = B/E = C/F

Find the measure of E using the ratio, A/D = B/E:

36/33 = 24/E

Cross multiply

E = (24 × 33)/36

E = 22

Find the measure of F using the ratio, A/D = C/F:

36/33 = 60/F

Cross multiply

F = (60 × 33)/36

F = 55

The answer is: c. E = 22 and F = 55.

Learn more about the proportionality theorem on:

https://brainly.com/question/25855270

#SPJ1

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