All squares are rectangles
all squares are rhombuses
For this case we must solve the following questions:
Question 1:
We should simplify the following expression:

Applying double C we have:

By definition of multiplication of powers of the same base we have to place the same base and add the exponents:
Canceling common terms:

Answer:
Option A
Question 2:
We should simplify the following expression:

So, we have:

Simplifying common terms:

Answer:
Option D
Question 3:
We factor the following expressions to rewrite the experience:
<em>
: </em>We look for two numbers that multiplied give 10 and added 7:

<em>
</em> We look for two numbers that multiplied give -50 and added -5:

<em>
</em>
Rewriting the given expression we have:

We simplify common terms in the numerator and denominator we have:

Answer:
Option D
Since BD bisects angle ABC, that means angle ABD and angle CBD are equal to each other. With that set up the equation to solve for x like this:
-4x+33 = 2x+81
-2x -2x
————————
-6x +33 = 81
-33 -33
————————
-6x = 48
————- (divide by -6)
-6
x = -8
Now substitute that to ABD
-4(-8) +33
32 +33
=65
here’s CBD
2(-8) + 81
-16 + 81
=65
Finally angle ABC will be double the amount of ABD or CBD so 65 times 2 is 130.
ANSWERS: (angles)
ABD and CBD: 65
ABC: 130