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amm1812
3 years ago
8

The length of Bill’s backyard swimming pool is 60 feet longer than the width of the pool. The surface area of the water is 1600

square feet. What is the width and length of the pool?
Mathematics
1 answer:
krok68 [10]3 years ago
4 0
The width is 20 feet 
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Conti. 7-10 thanks a lot! <br><br>unhelpful answers will be deleted.​
Marysya12 [62]

Answers:

10. b. \displaystyle 13

9. b. \displaystyle 20

8. a. \displaystyle 33

7. a. \displaystyle 25°

Step-by-step explanations:

10. Both segments are considered congruent, so turn both expressions into an equation:

\displaystyle 3x - 5 = x + 7 \hookrightarrow \frac{-12}{-2} = \frac{-2x}{-2} \\ \\ 6 = x

Plug this back into the equation to get \displaystyle 13on both sides.

9. All edges in a square obtain congruent right angles and edges, so set \displaystyle 45equivalent to the given expression:

\displaystyle 45 = 2x + 5 \hookrightarrow \frac{40}{2} = \frac{2x}{2} \\ \\ \boxed{20 = x}

8. Both angles are considered supplementary, so turn both expressions into an equation and set it to one hundred eighty degrees:

\displaystyle 180 = (4x - 15)° + (x + 30)° \hookrightarrow 180° = (15 + 5x)° \hookrightarrow \frac{165}{5} = \frac{5x}{5} \\ \\ \boxed{33 = x}

7. In this rectangle, segment <em>EO</em><em> </em>is a segment bisectour, making these angles <em>Complementary</em><em> </em><em>Angles</em><em>.</em><em> </em>Therefore, set an equation up to find its complement:

\displaystyle 90° = 65° + m\angle{VOE} \\ \\ \boxed{25° = m\angle{VOE}}

I am joyous to assist you at any time.

3 0
2 years ago
What is 1/8 of 16 pls I really need to get this done
KatRina [158]

Answer:

2

Step-by-step explanation:

We take the denominator.

That is 8.

8 goes in twice.

16÷8=2

3 0
3 years ago
Read 2 more answers
Emily has a road map with a key that shows an inch on the map equals 5 miles of actual distance.if a distance measured on the ma
Pie
12 * 5 is 60.
Actual distance: 60 miles.
6 0
3 years ago
5-2(4a+1)+3a=13 <br><br> A= 2/3<br> A= -2<br> A= -6/5<br> A=2
VMariaS [17]

Answer:

                   a = -2

Simplifying 5 + -2(4a + 1) + 3a = 13 Reorder the terms: 5 + -2(1 + 4a) + 3a = 13 5 + (1 * -2 + 4a * -2) + 3a = 13 5 + (-2 + -8a) + 3a = 13 Combine like terms: 5 + -2 = 3 3 + -8a + 3a = 13 Combine like terms: -8a + 3a = -5a 3 + -5a = 13 Solving 3 + -5a = 13 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -5a = 13 + -3 Combine like terms: 3 + -3 = 0 0 + -5a = 13 + -3 -5a = 13 + -3 Combine like terms: 13 + -3 = 10 -5a = 10 Divide each side by '-5'. a = -2

6 0
3 years ago
Solve x2+12x=82 using completing the square. Answer the questions below.
galben [10]

Answer:

exact form : x =  ± √ 118 − 6

Decimal form :  x =  4.86278049 or − 16.86278049

Step-by-step explanation:

Use the formula  ( b /2 ) ^2  in order to create a new term. Solve for  x  by using this term to complete the square.

4 0
3 years ago
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