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2 years ago

Prove that it is congruent

Mathematics

1 answer:

pav-90 [236]2 years ago

5 0

Answer:

The dashes on the side lengths mean that they are equal in length
⇒ PQ = RP

The triangles share one side PS

The figure also states that m∠QPS = m∠RPS

Therefore, the triangles are SAS congruent since they have two pairs of congruent sides and a congruent included angle.

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vagabundo [1.1K]

So the original shoes cost 100%, but you are paying 15% less than 100%. 100-15 is 85, so 85% or .85 is your answer.

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3 years ago

Two gears are connected and are rotating simultaneously. The smaller gear has a radius of 3 inches, and the larger gear has a ra

Dovator [93]

Circumference of a circle is C = 2πr.

part 1)

so the radius of the smaller gear is 3 inches, so after a full rotation, namely a revolution, the smaller gear has covered an arc of 2π(3), or 6π.

what angle has the larger gear of 7 inches in radius, has it covered with an arc of 6π?

$\bf \textit{arc's length}\\\\
s=r\theta ~~
\begin{cases}
r=radius\\
\theta =angle~in\\
\qquad radians\\
------\\
s=6\pi \\
r=7
\end{cases}\implies 6\pi =7\theta \implies \cfrac{6\pi }{7}=\theta$

part 2)

since the larger gear has a radius of 7, in a revolution it will have an arc of 2π(7), or 14π.

now, we know the smaller gear does a 6π arc in a revolution, how many revolutions will it do in an arc of 14π?

$\bf \begin{array}{ccll}
arc&revolution\\
\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\
6\pi &1\\
14\pi &x
\end{array}\implies \cfrac{6\pi }{14\pi }=\cfrac{1}{x}\implies \cfrac{3}{7}=\cfrac{1}{x}\implies x=\cfrac{7}{3}$

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3 years ago

Answer two questions about Equations A and B:

enot [183]

Answer:

A, Yes

Step-by-step explanation:

Your first answer is A because Multiply /divide both sides by the same non zero constant . Second, answer is Yes .

Hope this helps;)

Pls mark brainlist

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3 years ago

Does (6,3) make the inequality 16x+20y≤5 true?

enyata [817]

Answer:

156 ≤ 5 (Which is wrong)

Step-by-step explanation:

You start with:

16(6)+20(3) ≤ 5

96+60 ≤5

156 ≤5

Which is wrong.

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3 years ago

I NEED HELP PLSSS GEOMETRY

jek_recluse [69]

Answer:

Its the first one (top left option)

Step-by-step explanation:

ur in a rush so i wont explain, pls give me brainliest

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2 years ago

Prove that it is congruent​

Prove that it is congruent