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The measures of two complementary angles are m angle 1 = (10x+7) and m angle 2=(9x-12) find the measures of both angles

USPshnik [31]

Answer:

m<1 = 57°

m<2 = 33°

Step-by-step explanation:

To find the numerical measure of both angles, let's come up with an equation to determine the value of x.

Given that m<1 = (10x +7)°, and m<2 = (9x - 12)°, where both are complementary angles, therefore, it means, both angles will add up to give us 90°.

Equation we can generate from this, is as follows:

(10x + 7)° + (9x - 12)° = 90°

Solve for x

10x + 7 + 9x - 12 = 90

Combine like terms

19x - 5 = 90

Add 5 to both sides

19x = 90 + 5 (addition property not equality)

19x = 95

Divide both sides by 19

x = 5

m<1 = (10x +7)°

Replace x with 5

m<1 = 10(5) + 7 = 50 + 7 = 57°

m<2 = (9x - 12)

Replace x with 5

m<2 = 9(5) - 12 = 45 - 12 = 33°

5 0

3 years ago

Please help I am horrible at math! Ye is riding home from a friend's house. After 5 minutes he is 4 miles from home, after 15 mi

vesna_86 [32]

Answer:

y=-0.2x+5. Correct choice: A)

Step-by-step explanation:

Modeling With Equations

Let's call x the number of minutes and y the distance from home. The correct model should meet both conditions:

After 5 minutes, Ye is 4 miles from home. This is the ordered pair (5,4)

After 15 minutes, Ye is 2 miles from home. This is the ordered pair (15,2)

A) y=-0.2x+5. Testing the first point (5,4): y=-0.2*5+5=4. Correct

Testing the second point (15,2): y=-0.2*15+5=2. Correct

This is the correct choice.

B) y=11/7x-27/7. Testing the first point: (5,4) y=11/7*5-27/7=4. Correct

Testing the second point (15,2). y=11/7*15-27/7=138/7. Incorrect

Incorrect choice.

C) This equation is equal to the choice B), thus this one is incorrect.

D) y=5x-0.2. The first point (5,4) yields to:

4=5*5-0.2=24.8 Incorrect.

6 0

3 years ago

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If f(x) = x over 2 + 8, what is f(x) when x = 10?

jeka57 [31]

Answer:

f(10) = 13

Step-by-step explanation:

f(x) = x/2 + 8

Let x = 10

f(10) = 10/2 +8

f(10) = 5+8

f(10) = 13

8 0

3 years ago

Help with 5??????????

crimeas [40]

Answer is number one. The number inside the bracket is the time and the number after the equal sign is the height. As you can see, at t=5, height=75.

8 0

3 years ago

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What is the vertex of the quadratic function given in the table?

likoan [24]

Answer:

The vertex is (-3,-2)

The vertex is basically the very top or very lowest, so you will notice how values around (-3,-2) are relatively the same in the y coordinate, but -2 is the "highest/lowest" so that's how you know it's a vertex.

If you try picturing the points in your head, you will see it make a U and at the bottom of the U is the vertex.

7 0

2 years ago

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