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Sati [7]
3 years ago
14

Leah claims that these figures are not similar. When she compared the heights, she wrote 27. Then she compared the bases and got

216. Why is Leah having trouble?
Mathematics
1 answer:
Flauer [41]3 years ago
4 0

Answer:

<h2>Leah is actually wrong, because those rectangles are similar.</h2>

Step-by-step explanation:

Remember that similarity is about having proportional sides and congruent angles. When we have congruent sides, then those rectangles are congruent not similar.

In this case, to find the similarity, Leah should compare bases and heights thorugh division, because the ratio between heights and the ratio between bases must be equal. So, let's divide.

\frac{21}{6}=3.5

\frac{7}{2}=3.5

As you can observe, both ratios are equal.

Therefore, those rectangles are congruent.

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Answer:

-10,-12,-14,-16,-18,-20,-22,-24,-26,-28,...

Step-by-step explanation:

we know that

In an <u><em>Arithmetic Sequence</em></u> the difference between one term and the next is a constant, called the common difference

The formula for an Arithmetic Sequence is equal to

a_n=a_1+(n-1)d

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d is the common difference

n is the number of terms

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In this problem we have

a_1=-10\\d=-2

substitute

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For n=2 ----> a_2=-2(2)-8=-12

For n=3 ----> a_3=-2(3)-8=-14

For n=4 ----> a_4=-2(4)-8=-16

For n=5 ----> a_5=-2(5)-8=-18

For n=6 ----> a_6=-2(6)-8=-20

For n=7 ----> a_7=-2(7)-8=-22

For n=8 ----> a_8=-2(8)-8=-24

For n=9 ----> a_9=-2(9)-8=-26

For n=10 ----> a_1_0=-2(10)-8=-28

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-10,-12,-14,-16,-18,-20,-22,-24,-26,-28,...

5 0
3 years ago
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