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brilliants [131]
2 years ago
6

The figure shows triangle PQR and line segment AB, which is parallel to QR:

Mathematics
2 answers:
Darya [45]2 years ago
7 0

Based on the triangle similarity theorem:

A. ΔPQR ~ ΔPAB

B. AB corresponds to  QR

C. ∠A corresponds to ∠Q.

<h3>What is the Triangle Similarity Theorem?</h3>

According to the triangle similarity theorem, when a segment that is parallel to one side of a triangle intersects the other two sides, the new triangle formed is therefore similar to the original triangle. This also implies that the two sides would be divided by the line segment proportionally.

Part A:

Based on the diagram given, we have:

AB is parallel to QR, therefore, the new triangle formed, triangle PAB is similar to the original triangle PQR, based on the triangle similarity theorem.

Part B:

Line segment AB corresponds to line segment QR because they lie in the same position facing angle P.

Part C:

Angle A lies in similar position with angle Q, so, angle A corresponds tp angle Q.

Learn more about the triangle similarity theorem on:

brainly.com/question/21247688

#SPJ1

Mashutka [201]2 years ago
5 0

Based on the triangle similarity theorem:

A. ΔPQR ~ ΔPAB

B. AB corresponds to  QR

C. ∠A corresponds to ∠Q.

<h3>What is the Triangle Similarity Theorem?</h3>

Triangle similarity theorem, when a segment that is parallel to one side of a triangle intersects the other two sides, the new triangle formed is therefore similar to the original triangle. This also implies that the two sides would be divided by the line segment proportionally.

Part A:

AB is parallel to QR, therefore, the new triangle formed, ΔPAB is similar to the original ΔPQR, based on the triangle similarity theorem.

Part B:

Line segment AB corresponds to line segment QR because they lie in the same position facing angle P.

Part C:

Angle A lies in similar position with angle Q, so, angle A corresponds to angle Q.

Learn more about triangle similarity theorem from:

brainly.com/question/21247688

#SPJ1

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If AABC AFDE, which of the following statements is true?
uysha [10]

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A

Step-by-step explanation:

I know this because it A and F are the same angle

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special deck of cards has 20 cards. Nine are green, seven are blue, and four are red. When a card is picked, the color of it is
Sever21 [200]

Answer:

Step-by-step explanation:

Given that special deck of cards has 20 cards. Nine are green, seven are blue, and four are red. When a card is picked, the color of it is recorded. An experiment consists of first picking a card and then tossing a coin

A) Sample space will have Green, Head,  or Green, Tail .... Red, head, red, tail

No of elements in sample space = no of colours x no of outcomes in coin toss

= 4x2 = 8

B) A= getting (RT)

P(A) = Prob of getting red card and tail on coin

= P (R) *P(T)

=\frac{4}{20} *\frac{1}{2} \\=\frac{1}{10}

C) B be the event that a green or blue is picked, followed by landing a tail on the coin toss

B = getting green card and tail

Getting green card tail is mutally exclusive with red card and tail as there is no common element between green and blue.

D) C= red or green card is picked followed by tail.

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7 0
3 years ago
Which equations are equivalent to a/b = c/d? Choose more than one answer.
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Step-by-step explanation:

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3 years ago
A commonly used IQ test is scaled to have a mean of 100 and a standard deviation 15. A school counselor was curious about the av
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Answer: (103.74,112.06)

Step-by-step explanation:

The confidence interval for population mean is given by :_

\overline{x}\pm z_{\alpha/2}\dfrac{\sigma}{\sqrt{n}}

Given : Sample size : n= 50

Sample mean : \overline{x}=107.9

Standard deviation : \sigma=15

Significance level : \alpha: 1-0.95=0.5

Critical value : z_{\alpha/2}=1.96

Then the 95% confidence interval for the student IQ in the school will be :-

107.9\pm (1.96)\dfrac{15}{\sqrt{50}}\\\\\approx107.9\pm0.075\\\\=(107.9-4.16,107.9+4.16)=(103.74,112.06)

Hence, the 95% confidence interval for the student IQ in the school= (103.74,112.06)

4 0
3 years ago
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