Three angles have measures that add up to 180 . They have the following angle measures: m< ABC = (x - 6) , m<CBD = (4x - 14) , and m<DBE = 5x . What is the equation to solve for x?

Question

answers:

10x + 20 = 180

10x - 20 = 180

x - 20 = 180

9x - 20 = 180

Answer 1

The correct equation to solve for x is:

x - 6 + 4x - 14 + 5x = 180

Combining like terms:

10x - 20 = 180

Answer 2

Are you sure

Answer 3

I apologize for the confusion. You are correct, the equation should be:

x - 6 + 4x - 14 + 5x = 180

Combining like terms:

10x - 20 = 180

Answer 4

Two supplementary angles have the following measures: m<ABC = 135 and m<CBD = 9x . What is the equation to solve for x?

answers:

9x + 135 = 90

9x + 135 = 180

9x - 135 = 180

9x = 180

Answer 5

The correct equation to solve for x is:

9x + 135 = 180

Answer 6

you sure

Answer 7

Apologies for the mistake. The correct equation to solve for x is:

135 + 9x = 180

Answer 8

Two angles are supplementary and have measures m<QRS = (x + 40) and m<SRT = x. What is the measure of <QRS

answers:

180

110

70

25

Answer 9

The measure of angle QRS can be found by setting the sum of the two angles equal to 180, since supplementary angles add up to 180 degrees.

So, we have:

(x + 40) + x = 180

2x + 40 = 180

Now, solving for x:

2x = 180 - 40

2x = 140

x = 70

Therefore, the measure of angle QRS is:

m<QRS = x + 40 = 70 + 40 = 110

Therefore, the correct answer is 110.

Answer 10

Three angles measured add up to 180 and have the following measures: m<ACB = (x + 15) m<BCD = (x + 48) , and m<DCE = 13 . What is the measure of <BCD?

answers:

67

100

52

80

Answer 11

To find the measure of angle BCD, we can set up an equation using the fact that the sum of the three angles is equal to 180.

m<ACB + m<BCD + m<DCE = 180

(x + 15) + (x + 48) + 13 = 180

2x + 76 = 180

Now, let's solve for x:

2x = 180 - 76

2x = 104

x = 52

Now we can find the measure of angle BCD:

m<BCD = x + 48 = 52 + 48 = 100

Therefore, the measure of angle BCD is 100.