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zimovet [89]
3 years ago
6

If DGH ~ DEF, Find the value of X

Mathematics
1 answer:
DIA [1.3K]3 years ago
4 0

Answer:

x=25

Step-by-step explanation:

we know that

DGH ~ DEF ---> given problem

Remember that

If two triangles are similar, then the rtio of its corresponding sides is proportional and its corresponding angles are congruent

so

\frac{DG}{DE}=\frac{GH}{EF}

substitute the given values

\frac{52}{91}=\frac{x+3}{2x-1}

(2x-1)52=(x+3)91\\104x-52=91x+273\\104x-91x=273+52\\13x=325\\x=25

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