Answer:
3.70
Step-by-step explanation:
To get from 27 to 67.5 you multiply 27 by 2.5 so you need to do the same to the 5
5x2.5=12.5
=12.5in
Answer:
8 units
Step-by-step explanation:
» <u>Concepts</u>
Parallelogram Side Theorem states that the opposite sides of a parallelogram are congruent, meaning they have the same length.
» <u>Application</u>
In this case, we're asked to apply the theorem to find the value of q and then find the length of AB. Thus, we have to set up the equation 4q - 8 = q + 4.
» <u>Solving</u>
Step 1: Subtract q from both sides.
Step 2: Add 8 to both sides.
Step 3: Divide both sides by 3.
Step 4: Plug in the value of q for side AB.
Therefore, the answer is 8 units.
Rectangle ABCD was rotated 90° counterclockwise around the origin and then translated 8 units down.
Answer:

Step-by-step explanation:
Evaluating the numerator and denominator before evaluating
Using the rule of exponents
⇔
,
= 1
Thus
y² ← substitute values into expression
=
× 4² =
× 16 = 
and denominator

= 1 × 4³ = 1 × 64 = 64
Now dividing
÷ 64
=
×
( cancel 16 and 64 )
=
= 