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2 years ago

Find the measure of angle C of a triangle ABC, if: m∠A = α, m∠B = 2α Find m∠C

Mathematics

1 answer:

pochemuha2 years ago

6 0

Answer:

180°- 3α

Step-by-step explanation:

By angle sum postulate of a triangle.

$m \angle \: A+ m \angle \: B + m \angle \: C = 180 \degree \\ \alpha + 2 \alpha + m \angle \: C = 180 \degree \\ 3 \alpha + m \angle \: C = 180 \degree \\ \huge \red{ \boxed{\angle \: C = 180 \degree - 3 \alpha}} \\$

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You created a new playlist, 100 of your freinds listen to it and shared if they liked the new playlist or not. Rachel said the r

Sindrei [870]

Answer:

- Yes, They agree

Step-by-step explanation:

Do Rachel and Dylan argree?

- Yes, They agree

Prove your answer using the values of the ratio.

100 of your friends listen to it

- Total Number = 100

Rachel said the ratio of the number of the people who liked the playlist to the number of people who did not like the playlist is 75:25.

The ratio can be simplifies further by diving all through by 25;

75/25 : 25/25

3 : 1

Dylan said that for every three people who liked the playlist, one person did not.

This simplifies to 3 : 1.

Same thing with what rachel said, so they both agree

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2 years ago

Determine the slope and y -intercept for each line shown. Then write the equation of the line (will give Brainliest)

Pavlova-9 [17]

Answer:

$y=\frac{1}{4}x+2$

m= $\frac{1}{4}$

b= 2

$y=-\frac{1}{3}x+1$

m= $-\frac{1}{3}$

b= 1

$y=3x+4$

m= 3

b=4

Step-by-step explanation:

1. The line intersects the y-axis at the point (0,2) therefore its y-intercept is b=2.

The line rises up 1 unit on the y-axis for every 4 units on the x-axis therefore the line has a slope of m=1/4.

Considering the equation of a line (y=mx+b), we plug in the variables we have found into the formula to find that $y=\frac{1}{4}x+2$

2. The line intersects the y-axis at the point (0,1) therefore its y-intercept is b=1.

The line down up 1 unit on the y-axis for every 3 units on the x-axis therefore the line has a slope of m= -1/3.

Considering the equation of a line (y=mx+b), we plug in the variables we have found into the formula to find that $y=-\frac{1}{3}x+1$

3. The line intersects the y-axis at the point (0,4) therefore its y-intercept is b=4.

The line rises up 3 units on the y-axis for every 1 unit on the x-axis therefore the line has a slope of m=3.

Considering the equation of a line (y=mx+b), we plug in the variables we have found into the formula to find that $y=3x+4$

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2 years ago

Find the value of x and y

Marianna [84]

Answer:

What is the equation?

Step-by-step explanation:

6 0

2 years ago

Death Valley headquarters in California is 190 feet below sea level. Badwater, America's lowest point, is 92 feet lower than Dea

olga_2 [115]

Answer: Badwater is 282 feet below the sea level.

Step-by-step explanation:

Given: Death Valley headquarters in California is 190 feet below sea level. Badwater, America's lowest point, is 92 feet lower than Death Valley headquarters.

To find the depth of Badwater we need to add depth of Death Valley headquarters from sea level to the depth of Badwater from Death valley headquarters.

i.e. The Depth of Badwater from sea-level = 190 feet +92 feet

= 282 feet

Hence, Badwater is 282 feet below the sea level.

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3 years ago

John wishes to pay off his car loan of $4,626 in 18 months. How much will his monthly payment be assuming he pays the same amoun

nydimaria [60]

Answer: $257 per month

Explanation:

Pay = monthly payment

Set the total cost equal to number of months times payment per month (which you would leave as a variable because that’s what you’re solving for).

4,626 = 18P

Divide both sides by 18 because you’re trying to isolate the P.

4,626 = 18P —-> 257 = Pr

This leaves you with an evenly split number of 257.

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2 years ago