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3 years ago

14

Is PQR=STU if so name the congruence postulate that applies

2 answers:

ladessa [460]3 years ago

6 0

Answer:

congruent ASA

Step-by-step explanation:

MaRussiya [10]3 years ago

4 0

The answer is the option A, which is: A. Congruent-ASA.

The explanation for this exercise is shown below:

1. The Angle-Side-Angle Theorem (ASA) states that when you have two triangles and you know two angles of one of them and these angles are equal to the corresponding angles of the other triangle and the included sides of the triangles are also equal, then the triangles are congruent.

2. As you can see in the figure attached above, the angle ∠P is congruent to the angle ∠S and the angle ∠Q are congruent to the angle ∠T ant sides PQ and ST are equal. Therefore, the correct answer is the option mentioned before.

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what is the common ratio for the geometric sequence below, written as a fraction? 768, 480, 300, 187.5, …

Crazy boy [7]

Let

$a1=768\\a2=480\\a3=300\\a4=187.5$

Step $1$

Find $\frac{a2}{a1}$

$\frac{a2}{a1} =\frac{480}{768}$

Divide by $96$ numerator and denominator

$\frac{480}{768} =\frac{\frac{480}{96}}{\frac{768}{96}} \\ \\ \frac{480}{768}=\frac{5}{8}$

$a2=a1*\frac{5}{8}$

Step $2$

Find $\frac{a3}{a2}$

$\frac{a3}{a2} =\frac{300}{480}$

Divide by $60$ numerator and denominator

$\frac{300}{480} =\frac{\frac{300}{60}}{\frac{480}{60}} \\ \\ \frac{300}{480}=\frac{5}{8}$

$a3=a2*\frac{5}{8}$

Step $3$

Find $\frac{a4}{a3}$

$a4=187.5 \\ a4=187\frac{1}{2} \\ \\ a4=\frac{375}{2}$

$\frac{a4}{a3} =\frac{\frac{375}{2}}{300} \\ \\ \frac{a4}{a3} =\frac{375}{600}$

Divide by $75$ numerator and denominator

$\frac{375}{600} =\frac{\frac{375}{75}}{\frac{600}{75}} \\ \\ \frac{375}{600}=\frac{5}{8}$

$a4=a3*\frac{5}{8}$

In this problem

The geometric sequence formula is equal to

$a(n+1)=a(n)*\frac{5}{8}\\$

For $n\geq 1$

therefore

the answer is

the common ratio for the geometric sequence above is $\frac{5}{8}$

6 0

3 years ago

Read 2 more answers

84 is 60% of what number?

mariarad [96]

I'm pretty sure that it is 140. Hope I helped!

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scoundrel [369]

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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