Question

I need help finding what x is​

Answer 1

Answer:

Therefore the value of x is 4.

Step-by-step explanation:

Given:

AO = 5x - 8

BO = 3x

AM ≅ BM

To Find :

x = ?

Solution:

In  Δ AMO and Δ BMO

AM ≅ BM     ……….{Given}

∠ AMO ≅ ∠ BMO    …………..{measure of each angle is 90° given}

MO ≅ MO      ……….{Reflexive property}

ΔAMO  ≅ Δ BMO ….{ By Side-Angle-Side test}

∴ AO ≅ BO ...{corresponding sides of Congruent triangles or CPCT}

on substituting the values we get

$5x-8=3x\\\\5x-3x=8\\\\2x=8\\\\x=\frac{8}{2}=4$

Therefore the value of x is 4.