Answer:
First, these angles are alternate interior angles.


Step-by-step explanation:
(10x - 5)° and (9x + 1)° are alternate interior angles. Thus, they are congruent to each other.
Thus, to find x, we will set each angle equal to the other.

Solve for x. Collect like terms


Answer:


Step-by-step explanation:
we are given


we have to find f/g
we can write as

now, we can plug values
and we get

so,

we know that denominator can not be zero
so,

now, we can solve for x


Divide both sides by 5
and we get

Answer:
This graph has been translated. Translation is when the image on the graph has been shifted along one or both of the axis. In this case, the graph has been shifted up two units as shown by the operation of addition on the y-value. Remember that translations are rigid movements, so the new image will be congruent to the pre-image.
The answer is 988 square inches. L=23 W=10 H=8
The equation for surface area is 2(L x W) + 2(L x H) + 2(W x H)
Next, you need to substitute the values into the equation to get:
Surface area= 2(23 x 10) + 2(23 x 8) + 2(10 x 8)
Now finish solving the equation to get an answer of 988 square inches!
Step-by-step explanation:
The slope-intercept form can be obtained by solving for y.
8x-y=-6
-8x
-y=-8x-6
divide by negative 1 to turn y positive.
y=8x+6