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yaroslaw [1]
2 years ago
12

In a triangle, the sum of the measures of the first two angles is 12 less than the measure of the third angle. In addition, the

measure of the first angle is twice as big as the measure of the second angle. Create and solve a system of linear equations to represent this situation. Then select the true statement.
Mathematics
1 answer:
USPshnik [31]2 years ago
8 0

The measure of the three angles are  56, 28 , 192 degree

<h3>What is a Triangle ?</h3>

A triangle is a polygon with three sides , three vertices an three angles.

It is given to make system of equations

Let the measure of the first , second and third angle be x, y and z

the sum of the measures of the first two angles is 12 less than the measure of the third angle.

x +y = z -12  ----1

the measure of the first angle is twice as big as the measure of the second angle.

x = 2y

Now equation 1 will be

z - 3y = 12

x +y+z = 180

2y +y +z = 180

3y +z = 180 ----2

z - 3y = 12------3

On solving the system of equation 1, 2

2z = 192

z= 96 degree

3y = 180-96

y = 28

x = 56

Therefore the measure of the three angles area  56, 28 , 192 degree.

To know more about Triangle

brainly.com/question/2773823

#SPJ1

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Luba_88 [7]

The company charges $1.40 per mile.

Step-by-step explanation:

Given,

Cost of 6.5 miles ride = $12.00

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Let,

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y be the pick up fee.

Total cost = Cost per mile*distance + pick up fee

According to statement;

6.5x+y=12.00    Eqn 1

9x+y=15.50       Eqn 2

Subtracting Eqn 1 from Eqn 2

(9x+y)-(6.5x+y)=15.50-12.00\\9x+y-6.5x-y=3.50\\2.5x=3.50

Dividing both sides by 2.50

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The company charges $1.40 per mile.

Keywords: distance, linear equation

Learn more about linear equations at:

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#LearnwithBrainly

4 0
3 years ago
Is this True or false?
grin007 [14]
This statement is true.
4 0
2 years ago
The LCM of three numbers is 7920 and their GCD is 12. Two of the numbers are 48 and 264. Using factor notation find the third nu
12345 [234]

Answer:

The third number is 180.

Step-by-step explanation:

Let the third number be 9x where x is an integer.

48 = 2*2*2*2*3

264 = 2*2*2*3*11

9x = 3*3*x

2*2*2*2*3*3*11*x = 7920y where y is an integer

1584x = 7920y

so x = 7920y / 1584= 5y.

Now the GCD is 12  so x must have  4 as one of its factors.

Also x is a multiple of 5 so it could be 20 then y  would be 4.

If x = 20 then the third number is 9*20 = 180.

This checks out OK.

5 0
3 years ago
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-1/3 =x+2/3

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x = -3/3

x = -1


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3 years ago
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Answer:

Z is 66. If you want an explanation, I could give it to you, FYI.

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