Answer:
106 degrees
Step-by-step explanation:
Sides AB and CD are equal in length and sides AD and BC are parallel to each other. This tells us that angles B and C are equivalent. Knowing this, we can set up the following equation to solve for x:

Subtract both sides by 42

Subtract both sides by 2x

Divide both sides by 2

Now, to find angle ABC, or angle B, we can plug x back into its expression:

Therefore, the measure of angle ABC is 106 degrees.
I hope this helps!
6: Yes, it is linear. The constant rate of change is

, which you can make

. This simplifies to 15, so the constant rate of change is 15.
7. Yes, a proportional relationship exists because every output value is exactly three times every corresponding input value.
8. Yes, a proportional relationship exists because every output value is exactly

times the corresponding input value.
9. Yes, a proportional relationship exists because every y value is 7.5 times every corresponding x value, and if a line were to be drawn through the points, it would go through the origin (0,0).
Answer:
Step-by-step explanation:
if you were to be solving for be you it will need to be an equation in order to be able to be solved but in this format it is nearly impossible to obtain an answer.
Answer:
The area is 31.5
Step-by-step explanation:
first you find the area of the rectangle (l x w) = 21
next you find the area of the triangle (b x h x 1/2) = 10.5
then you add the two areas together = 31.5
good luck with your khan academies :)
The most convenient method I would choose is slope-intercept form, which is y=mx+b. So, make this equation equal in terms of y.
x-y=5
subtract x from both sides
-y = 5 - x
multiply both sides by -1 so y isn't negative
y = 5 + x
5 +x is the same thing as x+5, so
y = x+5
Now, you can easily sub in any number for x and you can easily get y. Here are some points you can plot:
(0, 5), (1, 6), (2, 7), (3, 8) and the list goes on. I hope this helped!