9. Which sentence explains the relationship between two concepts?

Suppose △ABC has exterior angle at vertex B. The exterior angle is (12x−24)°, m∠A=(3x−6)°, and m∠C=(6x+12)°. What is the measure

Temka [501]

Answer: 96°

Step-by-step explanation:

If a triangle is being drawn, Angle A and C will be the two remote interior angles in the triangle. The sum of the two interior angles has to equal to the exterior angle.

Set them equal each other and solve for x.

(3x-6) + (6x +12) = 12x - 24 Combine like terms

9x + 6 = 12x - 24 Subtract 6 from both sides

- 6 -6

9x = 12x - 30 Subtract 12x from both sides

-12x -12x

-3x = -30 Divide both sides by -3

x = 10

Now since x is 10 degrees we will need to input the value into in for x in the exterior angle expression and break it down.

Exterior : 12(10) - 24

120 - 24 = 96

This means the measure of the exterior angle at vertex B is 96 degrees.

6 0

3 years ago

In what time will a sum of money double itself at 10%? ease answer this please I need helppp....

nirvana33 [79]

Answer:

8 generations

Step-by-step explanation:

Start with $1 and add 10% per generation until you reach $2. (Multiply by 1.1).

$1

$1.10

$1.21

$1.33

$1.46

$1.61

$1.76

$1.94

$2.12

5 0

3 years ago

Why is the table not a probability distribution table?

jeyben [28]

Using probability distribution concepts, the correct option is:

C. the sum of the probabilities is not 1.00

In a probability distribution, the sum of all probabilities has to be equals to 1.

In this problem, the probabilities are: 0.25, 0.45, 0, 0.35.

Their sum is:

$0.25 + 0.45 + 0 + 0.35 = 1.05$

Since the sum is not 1, the correct option is:

C. the sum of the probabilities is not 1.00

For more on probability distribution concepts, you can check brainly.com/question/24802582

8 0

3 years ago

Prove that 4 is a multiple of 2

ira [324]

Answer:

If you count by 2's and 2 x 2 = 4

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

The area of one field is 16 acres, and the area of the second field is 1 1/4 times bigger. A barn of wheat on the first field ma

gregori [183]

Answer: 23.89 thousands of pounds is more wheat that was gathered from the second field than from the first field.

Step-by-step explanation:

Since we have given that

the area of one field = 16 acres

Area of second field is given by

$1\frac{1}{4}\times 16\\\\=\frac{5}{4}\times 16\\\\=5\times 4\\\\=20\ acres$

A barn of wheat on the first field makes up

$3\frac{7}{12}\times 16\\\\=\frac{43}{12}\times 16\\\\=57.33\text{ thousands of pounds.}$

A barn of wheat on the second field makes up

$1\frac{2}{15}\times 20\\\\=\frac{43}{12}\times \frac{17}{15}\times 20\\\\=81.22\text{ thousands of pounds }$

Now,

$81.22-57.33=23.89$

Hence, 23.89 thousands of pounds is more wheat that was gathered from the second field than from the first field.

7 0

3 years ago