Answered

Consider the figures MNOP and RSTU where MNOPRSTU. (Note: the figures are not drawn to scale.)
Step 2 of 2: Find y.
M
S
18
100°
100°
P
y
24
80°
N
6
80°
R



Answer :

nazlifathima1

Understanding the Problem:

We are given two similar figures, MNOP and RSTU. Similar figures have corresponding angles that are congruent and corresponding sides that are proportional. We need to find the value of y.

Solution:

Since the figures are similar, we can set up a proportion using the corresponding sides:

MN / RS = OP / TU

Substitute the given values:

6 / 18 = y / 24

Cross-multiply:

6 * 24 = 18 * y

144 = 18y

Divide both sides by 18:

y = 144 / 18

y = 8

Therefore, the value of y is 8.

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