Question

What’s the answer....

Answer 1

Answer:

x = 10

Step-by-step explanation:

If the triangles are similar, then the corresponding sides are in proportion:

$\dfrac{20}{20+8}=\dfrac{3x}{4x+2}$

$\dfrac{20}{28}=\dfrac{3x}{4x+2}$

$\dfrac{20:4}{28:4}=\dfrac{3x}{4x+2}$

$\dfrac{5}{7}=\dfrac{3x}{4x+2}$                 cross multiply

$5(4x+2)=(7)(3x)$        use distributive property a(b + c) = ab + ac

$(5)(4x)+(5)(2)=21x$

$20x+10=21x$             subtract 20x from both sides

$10=1x\to x=10$