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Dafna11 [192]
3 years ago
15

If m angle B=m angle D=41, find m angle C so that quadrilateral ABCD is a parallelogram

Mathematics
2 answers:
Charra [1.4K]3 years ago
8 0

ANSWER

139°

EXPLANATION

One of the interior angle properties of a parallelogram is that adjacent interior angles are supplementary.

This means that, the adjacent interior angles add up to 180°.

If

m \angle \: B = m \angle \: D = 41

Then

m \angle \: C +  m \angle \: D = 180 \degree

OR

m \angle \: B +  m \angle \:C= 180 \degree

\implies41 \degree +  m \angle \:C= 180 \degree

\implies m\angle \:C= 180 \degree - 41 \degree  = 139 \degree

lyudmila [28]3 years ago
3 0

Answer:

193

Step-by-step explanation:

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Which of the relations given by the following sets of ordered pairs is not a function
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Answer:

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Step-by-step explanation:

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The volume of air in a balloon is represented by the function V (r) = four-thirds pi r cubed, where r is the radius of the ballo
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6 0
3 years ago
Read 2 more answers
An urn contains 8 red chips, 10 green chips, and 2 white chips. A chip is drawn and replaced, and then a second chip is drawn.
Harlamova29_29 [7]

Answer:

(A) 0.04

(B) 0.25

(C) 0.40

Step-by-step explanation:

Let R = drawing a red chips, G = drawing green chips and W = drawing white chips.

Given:

R = 8, G = 10 and W = 2.

Total number of chips = 8 + 10 + 2 = 20

P(R) = \frac{8}{20}=\frac{2}{5}\\P(G)=  \frac{10}{20}=\frac{1}{2}\\P(W)=  \frac{2}{20}=\frac{1}{10}

As the chips are replaced after drawing the probability of selecting the second chip is independent of the probability of selecting the first chip.

(A)

Compute the probability of selecting a white chip on the first and a red on the second as follows:

P(1^{st}\ white\ chip, 2^{nd}\ red\ chip)=P(W)\times P(R)\\=\frac{1}{10}\times \frac{2}{5}\\ =\frac{1}{25} \\=0.04

Thus, the probability of selecting a white chip on the first and a red on the second is 0.04.

(B)

Compute the probability of selecting 2 green chips:

P(2\ Green\ chips)=P(G)\times P(G)\\=\frac{1}{2} \times\frac{1}{2}\\ =\frac{1}{4}\\ =0.25

Thus, the probability of selecting 2 green chips is 0.25.

(C)

Compute the conditional probability of selecting a red chip given the first chip drawn was white as follows:

P(2^{nd}\ red\ chip|1^{st}\ white\ chip)=\frac{P(2^{nd}\ red\ chip\ \cap 1^{st}\ white\ chip)}{P (1^{st}\ white\ chip)} \\=\frac{P(2^{nd}\ red\ chip)P(1^{st}\ white\ chip)}{P (1^{st}\ white\ chip)} \\= P(R)\\=\frac{2}{5}\\=0.40

Thus, the probability of selecting a red chip given the first chip drawn was white is 0.40.

6 0
3 years ago
Given the triangle below, find the measure of angle <br> A<br> . Picture is not drawn to scale
TiliK225 [7]

Answer:

A = 62.35°

A = 62° (Appropriately)

Step-by-step explanation:

To solve for the value of angle A, we employ the COSINE FORMULA.

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cos B = (a² + c² - b²) / 2ac

cos C = (a² + b² - c²) / 2ab

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A,B,C are the angles of the triangle.

a,b,c are the lengths of the sides

a= 20

b= 16

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Cos A = (16² + 21² - 20²) / 2*20*16

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