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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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Cerrena [4.2K]
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8/4 = 2

Each ball makes 2 caps.

6/2 = 3

Malcolm will need 3 balls of wool to make 6 knitted caps.
3 0
3 years ago
Drag each number to the correct location on the table. Each number can be used more than once, but not all numbers will be used.
muminat

Answer:

1. 12x^2-13.4x-11

- Degree: 2

- Number of terms: 3

2. 7x^3+168

 - Degree: 3

- Number of terms: 2

3. 9x^4-9

- Degree: 4

- Number of terms: 2

Step-by-step explanation:

For this exercise you need to remember the multiplication of signs:

(+)(+)=+\\(-)(-)=+\\(-)(+)=-\\(+)(-)=-

1. Given:

(4x + 2.2)(3x - 5)

Apply the Distributive property:

=12x^2+6.6x-20x-11

Add the like terms:

=12x^2-13.4x-11

You can idenfity that:

- Degree: 2

- Number of terms: 3

2. Given:

(-304 +503 - 12) + (7x^3 - 25 + 6)

Add the like terms:

=187 + 7x^3 - 25 + 6=7x^3+168

You can idenfity that:

- Degree: 3

- Number of terms: 2

3. Given:

(3x^2 - 3)(3x^2 + 3)

Apply Distributive property:

=9x^4-9x^2+9x^2-9

Add the like terms:

=9x^4-9

You can idenfity that:

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- Number of terms: 2

8 0
3 years ago
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prohojiy [21]
Hi! So, I don´t know the answers to this, but I think I know someone who might be able to help. Her username is IDONTLIKEUSERNAMES

Maybe message her?
6 0
3 years ago
Construct a triangle ABC in which BC-8 cm, B = 45° and AB-AC-3.5cm​
Vlada [557]

Step-by-step explanation:

This is the photo of the construction you needed

3 0
2 years ago
Please help, i don’t know how to work this out!!
victus00 [196]

Answer:

40 degrees

Step-by-step explanation:

so, a triangle is 180 degrees. you know that one angle is 60 degrees.

180= 60+ 2x + x

this is the equation of the triangle

120=3x

simplify

40=x

x= 40 degrees

hope this helps :)

5 0
3 years ago
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