All categories

2 years ago

The measure of an angle is 10 degrees more than its supplement. What is the measure of

Mathematics

1 answer:

inessss [21]2 years ago

7 0

Supplementary angles are angles that add up to 180 degrees.

Angle 1 = x

Angle 2 = x + 10

Since they are supplementary, we can set then equal to 180

x + x + 10 = 180

Combine like terms

2x + 10 = 180

Subtract 10 from both sides

2x = 170

Divide both sides by 2

x = 85

Angle 1 = 85 degrees

Angle 2 = 85 + 10 = 95 degrees

You might be interested in

I NEED HELP! Find the distance from(-4,4) to the line defined by y= -2x+6.Express as a radical or a number rounded to the neares

marysya [2.9K]

In radical form, the shortest distance from ( -4 , 4 ) and the line y = -2x + 6 is 2√5 units.

Attached below is the calculation to arrive at the answer as well as a graph.

8 0

2 years ago

consider the function f(x) = x2 2x – 15. what are the x-intercepts of the function? left-most x-intercept: ( , 0) right-most x-i

eimsori [14]

we have

$f(x)=x^{2} +2x-15$

we know that

The x-intercept is the value of x when the value of the function is equal to zero

in this problem

Find the roots of the function

equate the function to zero

$x^{2} +2x-15=0$

Group terms that contain the same variable, and move the constant to the opposite side of the equation

$x^{2} +2x=15$

Complete the square. Remember to balance the equation by adding the same constants to each side

$x^{2} +2x+1=15+1$

$x^{2} +2x+1=16$

Rewrite as perfect squares

$(x+1)^{2}=16$

Square root both sides

$(x+1)=(+/-)\sqrt{16}$

$(x+1)=(+/-)4$

$x=-1(+/-)4$

$x1=-1+4=3$

$x2=-1-4=-5$

$x^{2} +2x-15=(x-3)(x+5)$

therefore

<u>the answer is</u>

the x-intercepts are the points $(3,0)$ and $(-5,0)$

3 0

2 years ago

Read 2 more answers

The area of a rectangle is 6x^3+4x^2−8x. The width of the rectangle is 2x. Find the length of the rectangle.

Vitek1552 [10]

Answer:

1776

Step-by-step explanation:

6 0

2 years ago

Barry read for 15 more minutes than Robert.

Greeley [361]

Hi!

C. v + 15

Barry read for 15 MORE minutes than Robert.

6 0

3 years ago

Janice is dividing 1.92 divided by 6. Why does she exchange the place value blocks shown for 18 tenths and 12 ones ?

olga2289 [7]

9 Godinez me. 333 12

7 0

2 years ago

Read 2 more answers