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horrorfan [7]
2 years ago
5

Please help me with this math problem!! Will give brainliest!! NO LINKS PLEASE!! Thanks!! :)

Mathematics
1 answer:
iren2701 [21]2 years ago
3 0

Answer:

The sum of all the sides to this quadrilateral will equal a total of 20 inches, so you set up the equation:

2 + 2x + 7 + x + 2 = 20

Solve for x by combining like terms;

(2 + 7 + 2) + (2x + x) = 20

Which simplifies to;

11 + 3x = 20

Get rid of constants;

-11          -11

3x = 9

Isolate x by getting rid of it's coefficient;

/3  /3

<u>x = 3</u>

Now, to find the length of PQ, we plug in the value of x(3) into the equation that contains the line PQ.

x + 2

<u>3</u> + 2

= <u>5 inches.</u>

Now, to find the length of RS, we plug in the value of x(3) into the equation that contains the line RS.

2x

2(3)

= <u>6 inches.</u>

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<h3>We are given that:</h3>
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a^2+24^2=26^2\\\\ \text {Solve Exponents:}\\\rightarrow 24^2 = 576\\\rightarrow 26^2 = 676\\\\a^2+576=676\\\rightarrow a^2+576-576=676-576 \text{ (Subtraction Property of Equality)}\\a^2=100\\\sqrt{a^2} =\sqrt{100} \text { (Take the square root on both sides.) }\\\\\boxed {a=100}

<em>Option C should be the correct answer.</em>

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