Answer:

Step-by-step explanation:
AD = BD (CD bisects AB means that it divides the line into two equal parts)
So,
AD = BD = AB/2
So,
AD = 3/2
AD = 1.5
<u><em>Now, Finding AC using Pythagorean Theorem:</em></u>

Where c is hypotenuse (AC), a is base (AD) and b is perpendicular (CD)



Taking sqrt on both sides

Answer:
Caleb paid less than Omar by $12.
Step-by-step explanation:
The initial cost of each repair is $1,000.
One coupon is for $80 off the repair cost. The other coupon is for 15% off the repair cost.
Case 1:
Omar uses the $80 off the repair cost coupon first. He then uses the 15% off the repair cost coupon on the remaining balance.
Step 1: 
Step 2:
dollars
Case 2:
Caleb uses the 15% off the repair cost coupon first. He then uses the $80 off the repair cost coupon on the remaining balance.
Step 1: 
Step 2:
dollars
Now, comparing the values we can see that Caleb paid less.
He paid less by
dollars.
Answer:
10 inches.
Step-by-step explanation:
If 1 inch represents 150 miles, and there are 1500 miles covered by the map, then the length of the highway on the map is 10 inches.
Answer:
Triangular prism and rectangular prism
Step-by-step explanation:
shapes
<span>The expression given (27x^2)z/(-3x^2)(z^6), can be simplify as below:
By properties of powers, if you have the same base, you can substract the exponents. Then:
=(</span>27x^2)z/(-3x^2)(z^6)
=-9z/z^6 (As you can see: x^2-2= x^0=1)
=-9/z^5 (Then, z^6-1=z^5)
<span>
Therefore, the answer is: The exponent on the variable z is 5.</span>