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2 years ago

I need help with problem 7

Mathematics

2 answers:

Aleks04 [339]2 years ago

6 0

Answer: The triangles are not congruent

Step-by-step explanation:

Because the two triangles have 3 congruent angles, and AAA is not a triangle congruency theorem or postulate, the triangles are not congruent.

I hope this helps!

s2008m [1.1K]2 years ago

6 0

If triangles above be ABC and DEF

<A=<D
<B=<E
<C=<F

Three angles are equal.

Hence ∆ABC $\cong$ ∆DEF(AAA congruency)

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The triangles above are similar write a similarity statement if possible solve for x the images are not drawn to scale

e-lub [12.9K]

Answer:

The value of x is 8.

Step-by-step explanation:

In triangle PQR and XZY,

$\angle P=\angle X=90^{\circ}$

$\angle Q=\angle Z$

$\angle R=\angle Y$

By AA property of similarity, we can say that

$\triangle PQR\sim \triangle XZY$

The similarity statement is $\triangle PQR\sim \triangle XZY$ .

The corresponding sides of similar triangles are proportional. Since both triangles are similar, so

$\frac{PQ}{QR}=\frac{XZ}{ZY}$

$\frac{21}{28}=\frac{5x+2}{7x}$

$\frac{3}{4}=\frac{5x+2}{7x}$

$7x\times 3=(5x+2)\times 4$

$21x=20x+8$

$21x-20x=8$

$x=8$

Therefore the value of x is 8.

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4 years ago

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zvonat [6]

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Step-by-step explanation:

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4 years ago

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ivanzaharov [21]

Step-by-step explanation:

$s = \frac{a}{a - r}$

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2 years ago

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