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devlian [24]
3 years ago
14

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

Mathematics
2 answers:
kirza4 [7]3 years ago
8 0

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

trapecia [35]3 years ago
4 0
The answer will be 7.....value of x is 7 i believe

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