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3 years ago

One of the angles formed by two intersecting lines is 30°. What is the measure of the other three angles?

1 answer:

6 0

Since opposite angles on an intersecting line(s) are equal, you already know one of the three angles are 30° because one of the given angles is 30°. To find other two angles, add the two 30°s together to get 60° and subtract that from 360° because all the angles combined have to equal 360°, which is 300°. To get each angle separately, divide 360 by 2, which is 150. Thus, the measure of the other three angles angles are 30°, 150°, and 150°.

Hope this helps!

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How do you work out percentages

mezya [45]

If you are converting, make the denomenator 100 for fractions or look at 2 decimal places for decimals. if you want to find a certain percentage for a total, make the total of the item 100% and from there find 1% and multiply to the wanted percentage

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3 years ago

Which value of x satisfies both -9x+4y=8 and -3x-y=4 given the same value of y?

Deffense [45]

The value of x satisfies both -9x + 4y = 8 and -3x - y = 4 given the same value of y is $-\frac{8}{7}$

Step-by-step explanation:

The system of equations has two equations:

-9x + 4y = 8
-3x - y = 4

Let us solve the system of equations to find the value of x and substitute it in the two equations to check if it gives the same value of y in the two equations

∵ -9x + 4y = 8 ⇒ (1)

∵ -3x - y = 4 ⇒ (2)

- Multiply equation (2) by 4 to make the coefficients of y in the

two equations have same value and different signs

∴ -12x - 4y = 16 ⇒ (3)

- Add equations (1) and (3) to eliminate y

∴ -21x = 24

- Divide both sides by -21

∴ x = $-\frac{8}{7}$

Let us substitute this value of x in equations (1) and (2) to find y

∵ -9( $-\frac{8}{7}$ ) + 4y = 8

∴ $\frac{72}{7}$ + 4y = 8

- Subtract $\frac{72}{7}$ from both sides

∴ 4y = $-\frac{16}{7}$

- Divide both sides by 4

∴ y = $-\frac{4}{7}$

∵ -3( $-\frac{8}{7}$ ) - y = 4

∴ $\frac{24}{7}$ - y = 4

- Subtract $\frac{24}{7}$ from both sides

∴ - y = $\frac{4}{7}$

- Divide both sides by -1

∴ y = $-\frac{4}{7}$

The value of x satisfies both -9x + 4y = 8 and -3x - y = 4 given the same value of y is $-\frac{8}{7}$

Learn more:

You can learn more about the system of equations in brainly.com/question/2115716

#LearnwithBrainly

5 0

3 years ago

Please this is so confusing to me for some reason if anyone could answer the for me and have it correctly I’ll give big brain

shusha [124]

Answer:

It doubles every month.

Step-by-step explanation:

0 month - 6

1 month - 12

2 month - 24

3 month - 48

4 month - 96

5 month - 192

6 month - 384

7 month - 768

8 month 1536

4 0

3 years ago

Read 2 more answers

The distance between the two points pictured is d = Vn

icang [17]

Answer:

n = 61

Step-by-step explanation:

<u>Given points:</u>

(-3, -2) and (2, 4)

<u>Use distance formula:</u>

d = $\sqrt{(2 - (-3))^2 + (4 - (-2)^2}$ = $\sqrt{5^2 + 6^2}$ = $\sqrt{25 + 36}$ = $\sqrt{61}$
n = 61

7 0

3 years ago

The diameter of a regulation soccer ball is about 8 3/5 inches. This number was graphed on a number line.

Tcecarenko [31]

The number line is a line composed of numbers from negative infinity to positive infinity. This means all kinds of numbers, except imaginary numbers, are included including integers (whole numbers), rational and irrational numbers. Positive numbers lie on the right side while negative numbers lie on the left side. In this case, the first thing to do is to convert the fraction part of 8 3/5 to estimate its location in the number line. 3/5 is equal to 0.6. Thus, 8 3/5 = 8.6. The number is thus in between 8 and 9 on the right side of the line that is a little more than the half between these numbers.

5 0

3 years ago

Read 2 more answers