3 years ago

What’s the answer....

Mathematics

1 answer:

ICE Princess25 [194]3 years ago

3 0

Answer:

Step-by-step explanation:

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

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

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

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

$\dfrac{5}{7}=\dfrac{3x}{4x+2}$ <em>cross multiply</em>

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

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

$20x+10=21x$ <em>subtract 20x from both sides</em>

$10=1x\to x=10$

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