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pantera1 [17]
2 years ago
14

Are the two figures similar? D 6 15 9 c​

Mathematics
1 answer:
Viktor [21]2 years ago
5 0

Answer:

These are similar. The scale factor is 1.5 going from ABC to DEF.

Step-by-step explanation:

What I did was divide the side lengths of DEF by the corresponding side on ABC.

12/8 = 1.5

9/6 = 1.5

15/10 = 1.5

Since the scale factor is the same on all three sides, these two figures are similar.

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Here are two squares, A and B. A B The length of each side of square B is 4cm greater than the length of each side of square A.
alina1380 [7]

Answer:

144cm²

Step-by-step explanation:

Area of square A Aa = La²

Area of square B  Ab= Lb²

If the length of each side of square B is 4cm greater than the length of each side of square A, then;

Lb =  La + 4 ... 1

Also if the area of square B is 70cm² greater than the area of square A, then;

Ab = Aa + 70

Since Aa =  La² and Ab =  Lb²

Lb² = La² + 70 ...2

Substitute 1 into 2;

(La+4)² = La²+70

Expand

La²+8La+16 = La²+80

8La+16 = 80

8La = 80 - 16

8La = 64

La = 64/8

La = 8cm

Since Lb = La + 4

Lb = 8 + 4

Lb = 12cm

Area of square B = Lb²

Area of square B = 12²

Area of square B = 144cm²

4 0
3 years ago
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Kali spent half of her weekly allowance on clothes. To earn more money her parents let her clean the gutters for $9. What is her
Ber [7]
So to find the answer to this, you have to consider that \frac{1}{2} x + 9 = 13 - half because half the pocket money (x) was spend on clothes, then plus 9 because that's how much extra she gained and 13 because that was the result of all the changes.

To solve this, first subtract 9 from both side, which leaves you with \frac{1}{2} x = 4 and \frac{1}{2} x is the same as \frac{1x}{2}, so to solve this, multiply both sides of the equation by two, resulting in x = 8. SO from this we can conclude that the weekly allowance is $8
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Answer:

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Step-by-step explanation:

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3 0
2 years ago
Solve the inequality -5(x-7)<15 algebraically for x.
Serggg [28]
X > 4
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Can someone please help me as soon as possible​
Eduardwww [97]

Answer:

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Step-by-step explanation:

8 0
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