Two angles are complementary. the measure of the larger angle is 10 more than 4 times the measure of the small angle. find the measures of both angles.

Step-by-step explanation:

Let the measurement of the smaller angle = x

Larger angle = 4x + 10

x + (4x + 10) = 90    {complementry}

5x  + 10  = 90

        5x = 90 -10

         5x = 80

            x = 80/5

            x = 16

Smaller angle = 16

Larger angle = 4*16 + 10 = 64+10 = 74

Step-by-step explanation:

If two angles are complementary to each other, then their sum is 90 degrees.

So we have: .

Let's say is the larger of the two.

We have that is 10 more than 4 times the measure of .

An equation this is: .

So I'm going to plug second equation into first equation:

with :

Combine like terms:

Subtract 10 on both sides:

Divide both sides by 5:

Simplify:

Now to find :

with :

the formula of a slope:

from a table we have

substitute:

the slope of f(x) is -1.

the graph of funcfion g(x) is a horizontal line. the slope of a horizontal line is equal 0. therefore the slope of g(x) is 0.

-1 < 0

5x + 3y = - 4

step-by-step explanation:

the equation of a line in standard form is

ax + by = c ( a is a positive integer and b, c are integers )

express the line first of all in slope- intercept form

y = mx + c ( m is the slope and c the y-intercept )

to calculate m use the gradient formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (7, - 3) and (x₂, y₂ ) = (4, - 8)

m = = -

y = - x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (4, - 8 ), then

- 8 = - + c ⇒ c = -

y = - x - ← in slope-intercept form

multiply all terms by 3 to eliminate the fractions

3y = - 5x - 4 ( add 5x to both sides )

5x + 3y = - 4 ← in standard form