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Pie
3 years ago
15

A triangle has one angle that measure 45 and one that measure 60. What is the measure of the third angle?

Mathematics
2 answers:
Alborosie3 years ago
7 0

Answer:

x=75

Step-by-step explanation:

First of all, remember that a triangle always equals 180 degrees.

So, the equation would be 45+60+x= 180.

Step 1- Add common multiples.

(45+60)+x= 180

105+x= 180

Step 2- Subtract to both sides.

105+x= 180

-105      -105

x= 75

Natali5045456 [20]3 years ago
3 0

Answer:

The measure of the third angle is 75 degrees.

Step-by-step explanation:

We know that the total angles of a triangle must equal 180 degrees. If we know two of the angles, we must add them together, then subtract them from 180. 45 + 60 = 105, 180 - 105 = 75. The measure of the third angle is 75 degrees.

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Suppose y varies directly with x and y=12 when x=-3 what is the value of y when x=6?
coldgirl [10]

Answer:

A. -24

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a directly or proportional variation if it can be expressed in the form k=\frac{y}{x} or y=kx

In this problem we have

For x=-3, y=12

Find the value of the constant of proportionality k

k=\frac{y}{x}

substitute the given values

k=\frac{12}{-3}=-4

so

The linear equation is equal to

y=-4x

what is the value of y when x=6?

substitute the value of x in the linear equation and solve for y

y=-4(6)=-24

7 0
3 years ago
How would you write the equation with a slope of 2/3 and a y-intercept of (0,-3)?
rosijanka [135]

Answer:

y = (2/3)x - 3

Step-by-step explanation:

Slope-intercept form: y = mx + b

Note that:

y = (x , y)

m = slope

x = (x , y)

b = y-intercept.

The point is given to you. Note that:

(x , y) = (0 , -3) ∴

x = 0

y = -3

The slope = m = 2/3

Plug in the corresponding numbers to the corresponding variable:

y = mx + b

-3 = (2/3)(0) + b

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b = -3

Plug in -3 for b in the equation:

y = mx + b

y = (2/3)x -3

y = (2/3)x - 3 is your equation.

~

5 0
3 years ago
If an airplane in a 1 in. : 4 ft. scale drawing is 5 in. long, how long is the actual airplane? Use proportions to solve the pro
Lunna [17]

Answer:

20ft

Step-by-step explanation:

20ft is the answer because you would do 4 x 5 = 20, since the scale factor is 1in : 4ft

Hope this helped :)

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3 years ago
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Andrei [34K]

Answer:

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
A stockbroker has money in three accounts. The interest rates on the three accounts are 7%, 8%, 9%. If she has twice as much mon
Sveta_85 [38]

Answer:

x=amount invested at 7%

2x=amount invested at 8%

3x=amount invested at 9%

interest=principal*rate*time (time=1 year)

$150=0.07x+0.08*2x+0.09*3x

$150=0.07x+0.16x+0.27x

$150=0.50x

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3x=$900 invested at 9%

Step-by-step explanation:

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3 years ago
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