Question

2. What is the value of x? Show your work.

Answer 1

Answer:

x=7

Step-by-step explanation:

We are given that

$\angle K=\angle N$

$\angle J=\angle M$

Therefore, $\triangle JKL\sim \triangle MNP$

By AA similarity postulate

AA similarity: When two angles of one triangle are equal to its corresponding angles of other triangle then , two triangles are similar by AA similarity.

When two triangles are similar then the ratio of their corresponding sides are equal.

Therefore, $\frac{JK}{MN}=\frac{JL}{MP}$

We have JK=25 units,MN=30 units

JL=20 units,MP=$4x-4$

Substitute the values then we get

$\frac{25}{30}=\frac{20}{4x-4}$

$\frac{5}{6}=\frac{20}{4(x-1)}=\frac{5}{x-1}$

$x-1=\frac{5\times 6}{5}$

$x-1=6$

$x=6+1=7$

Hence, the value of x=7

Answer 2

The answer will be 7.....value of x is 7 i believe