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bija089 [108]
4 years ago
9

The perimeter of the rectangular picture frame is 108 mm. Find its length and width if the width is 3 more than twice the length

.
Mathematics
1 answer:
drek231 [11]4 years ago
7 0

Answer: a=17 mm length

               b=37 mm width

Step-by-step explanation:

P=2a+2b

a -length

b-width

b=2a+3

------------------

108mm=2a+2(2a+3)

108=6a+6

6a=102

a=17 mm

b=17*2+3

b=34+3

b=37 mm

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Combine terms/simolify
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Answer:

\dfrac{2m -1}{5}

Step-by-step explanation:

Since we have common denominators inside the parentheses, we can combine the denominators. Then, we get the following expression:

2\huge\text{(}\dfrac{1}{5} m - \dfrac{2}{5} \huge\text{)} + \dfrac{3}{5}

2\huge\text{(}\dfrac{m - 2}{5} \huge\text{)} + \dfrac{3}{5}

Now, we can multiply the expression inside the parentheses by 2.

\huge\text{(}\dfrac{2m - 4}{5} \huge\text{)} + \dfrac{3}{5}

Since the expression inside the parentheses cannot be <u>simplified further</u>, we can open the parentheses and simplify the expression.

\dfrac{2m - 4}{5}  + \dfrac{3}{5}

We can combine the denominators as the denominators are the same.

\dfrac{2m - 4 + 3}{5}

Finally, we can simplify -4 + 3.

\dfrac{2m -1}{5}

Therefore, the simplified expression is (2m - 1)/5.

Learn more about combining like terms: brainly.com/question/13080103

5 0
2 years ago
Quadrilateral PQRS is a square whos side length is 10. Let X and Y be points outside the square so that XQ = YS = 6 and XP = YR
erik [133]

Answer:

392

Step-by-step explanation:

Triangles XQP and YRS are right triangles because triples 6, 8, 10 are Pythagorean triples.

Extend lines XQ, YR, YS and XP and mark their intersection as A and B.

Quadrilateral XAYB is a square because all right triangles PXQ, QAR, RYS and SBP are congruent (by ASA postulate) and therefore

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Segment XY is the diagonal of the square XAYB, by Pythagorean theorem,

XY^2=XA^2+AY^2\\ \\XY^2=14^2+14^2\\ \\XY^2=196+196\\ \\XY^2=392  

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3 years ago
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What is the question? Please specific!

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3 years ago
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serg [7]

Answer:

Sorry this is late, but it could help future people. Answers are in the picture.

Step-by-step explanation:

I took the quiz. :)

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3 years ago
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Answer:

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