D would be the correct answer. Since angle W and angle Z form a straight line, they are supplementary angles. Supplementary angle add up to make 180°, which is what D states.
A doesn't make sense.
If B was true, then the angles would be complementary (adding up to 90°). They form a straight line, though, so it's incorrect.
C is wrong for reasons aforementioned.
The slope is 1.5x
Per x value increase, the y value increases by 1.5.
This mean that if x is 2, the y value will be 3 higher than the y-intercept.
We can use the slope formula to verify this.
![\frac{y.2 - y.1}{x.2 - x.1} = m](https://tex.z-dn.net/?f=%5Cfrac%7By.2%20-%20y.1%7D%7Bx.2%20-%20x.1%7D%20%3D%20m)
6 - 4.5 / 0 + 1
1.5/1 = 1.5
This line in slope-intercept form would look like this:
y = 1.5x + 6
Answer:
Reflexive Property
ASA
CPCTC
Step-by-step explanation:
Answer:
Step-by-step explanation:
step 1
Find the measure of angle EFD
In this problem I will assume that ABCD is a parallelogram
In a parallelogram opposite angles are congruent and consecutive angles are supplementary
so
--- > given problem
Remember that the sum of the interior angles in any triangle must be equal to 180 degrees
so
In the triangle EFD
substitute the given values
step 2
Find the measure of angle EFB
we know that
---> by supplementary angles
we have
substitute
step 3
Find the value of x
Remember that the sum of the interior angles in any triangle must be equal to 180 degrees
so
In the triangle EBF
we have
substitute
solve for x
Combine like terms
![x=5](https://tex.z-dn.net/?f=x%3D5)
Answer:
Step-by-step explanation:
4=y/8+1
rewrite equation
y/8 + 1 = 4
move all terms not containing y to the right of the equation
y/8 = 3
multiply both sides of the equation by 8
8 x y/8 = 8 x 3
simplify both sides of the equation.
y = 24