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3 years ago

9

Katie wants to hang a painting in a gallery. The painting and frame must have an area of 45 square feet. The painting is 6 feet

wide by 7 feet long. Which quadratic equation can be used to determine the thickness of the frame, x?.

1 answer:

Vilka [71]3 years ago

8 0

The answer is 4x^2+26x-3=0

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A=5x+20 B=9x-92 Solve for x and then find the measure of A

Leviafan [203]

Because of the transversal and the parallel lines, we know that A+B=180°.

So:
5x + 20 + 9x - 92 = 180
14x - 72 = 180
14x = 180 + 72
14x = 252
x = 252/14
x = 18

A = 5x + 20
A = 5*18 + 20
A = 90 + 20 = 110

(Let’s check:
B = 9*18 - 92
B = 162 - 92
B = 70
70 + 110 = 180)

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2 years ago

maw [93]

Answer:

3x

Step-by-step explanation:

Its 3x because if you dont know the amount of months which is x and she buys 3 songs every month it equals 3x

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2 years ago

12:8:100 in its simplest form as a ratio.

nikitadnepr [17]

Answer:

3:2:25 is the correct answer

Step-by-step explanation:

hope this helps .

3 0

2 years ago

Read 2 more answers

How do you convert 3.16 (6 repeating) to a fraction?

lutik1710 [3]

Suppose $x=3.1\overline6$ . Then $10x=31.\overline6$ , and $100x=316.\overline6$ .

Now,

$100x-10x=316.\overline6-31.\overline6=316-31$

$\implies90x=285$

$\implies x=\dfrac{285}{90}=\boxed{\dfrac{19}6}$

5 0

2 years ago

A square cake is cut into 16 equal parts. ben ears 7/16 of the cake. bell eats ¼ of the cake. what fraction of the cake is left?

Alexxx [7]

Set both fraction to a common denominator

7/16 and 4/16

now add them together

7/16 + 4/16 = 11/16

now subtract that from a full cake

16/16 - 11/16 = 5/16

there are 5/16 of the cake left

4 0

3 years ago