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Iteru [2.4K]
2 years ago
6

Given points A(−2,0), B(−5,3), C(−9,−1), P(7,6), Q(4,0), and R(−4,4), which of the following proves that △ABC~△PQR?

Mathematics
1 answer:
UNO [17]2 years ago
7 0

Based on the SSS similarity theorem, △ABC ~ △PQR because AB/PQ = BC/QR = CA/RP = √2/√5 = √10/5 (option D).

<h3>The SSS Similarity Theorem</h3>

Two triangles having three pairs of sides that are proportional can be proven to be similar by the SSS similarity theorem.

If the triangle ABC and triangle PQR are similar, their corresponding sides will be proportional, meaning that: AB/PQ = BC/QR = CA/RP.

Therefore, using the distance formula, d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}, the sides of each triangle is found.

Therefore, it shows that:

AB/PQ = BC/QR = CA/RP = √2/√5 = √10/5

Therefore, based on the SSS similarity theorem, △ABC ~ △PQR because AB/PQ = BC/QR = CA/RP = √2/√5 = √10/5 (option D).

Learn more about the SSS similarity theorem on:

brainly.com/question/4163594

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Step-by-step explanation:

Let's assume Debbie paid $1700 in interest, while Jan paid $9000.

Debbie Saves = $1700* 0.28

Jan Saves = $9000 * 0.28

Debbie Saves $476 in taxes

Jan Saves $2520 in taxes

7 0
3 years ago
Each situation described bellow requires inference about a mean or means. Identify each as involving (1) a single sample, (2) ma
motikmotik

Answer:

1) matched samples

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Step-by-step explanation:

1) couples were taken and their behaviors matched

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8 0
3 years ago
Which of the following comparisons is true?
nlexa [21]
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5 0
3 years ago
20)
Nataly [62]

Answer:

babysitting = $9

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Step-by-step explanation:

just a short note on which symbol you should use when you see these words in inequality questions:

i) use ≥

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7 0
2 years ago
A company makes pens. They sell each pen for $99.
Sindrei [870]

Answer:

a) Profit = 84000

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Total cost on making the pen = 11000

Total cost including the initial cost = 11000 + 4000

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Break even is when the cost are equal to Revenue thus no profit or loss

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At breakeven Revenue =  4500

since one pen is sold at 99 therefore at break even number of pens sold = 4500/99 = 45.45( to 2 decimal place)

at break even number of pens sold = 46

4 0
2 years ago
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