Question

Solve for the value of x. Show your Solution. ( 5 points ) Given ∆RPA and ∆NUJ, RP = 2× + 5 and

NU = 13

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Answer 1

x = 4

Explanation:

the point here is congruent triangles.

according to the image,

2x + 5 = 13 <---- subtract constants

2x = 13 - 5 = 8 <--- finalize

2x = 8 <----------- divide both sides by 2

2x / 2 = 8 / 2 <-- finalize

x = 4 <--- answer

Answer 2

`\qquad\qquad\huge\underline{{\sf Answer}}`

As we can see in the given figure, The two triangles are congruent to each other by many criterias, so we can infer that Their corresponding sides are of equal length.

That is :

`\qquad \tt \dashrightarrow \:2x + 5 = 13`

`\qquad \tt \dashrightarrow \:2x = 13 - 5`

`\qquad \tt \dashrightarrow \:2x = 8`

`\qquad \tt \dashrightarrow \:x = 8 / 2`

`\qquad \tt \dashrightarrow \:x = 4`

Therefore, value of x is 4