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Please help it will be brainlist as long as it’s right

Please Help It Will Be Brainlist As Long As Its Right class=

Sagot :

Answer:

x is 20

Step-by-step explanation:

View image Аноним

Answer:

x = 5

Step-by-step explanation:

The 2 triangles are similar by the AA postulate then the ratios of corresponding sides are equal , that is

[tex]\frac{x+x+10}{30+10}[/tex] = [tex]\frac{x+10}{30}[/tex]

[tex]\frac{2x+10}{40}[/tex] = [tex]\frac{x+10}{30}[/tex] ( cross- multiply )

30(2x + 10) = 40(x + 10) ← distribute parenthesis on both sides

60x + 300 = 40x + 400 ( subtract 40x from both sides )

20x + 300 = 400 ( subtract 300 from both sides )

20x = 100 ( divide both sides by 20 )

x = 5