<span>when the altitude is </span>drawn from the vertex of the right angle<span> of a right triangle to its hypotenuse, the altitude equals the product</span> of the two segments of the hypotenuse<span>.
(w+9)</span>²=8*18=144
w+9=12 or w+9=-12
w=3 (discard the negative number)
use the same method, z=√(9*11)=3√11
next, you can use the Pythagorean theorem to find x and y.
x=√(9²+99)=√180=6√5
y=√(11²+99)=√220=2√55
Answer:
8 1/4 inches
Step-by-step explanation:
If the answer were closer to 8 1/2 inches then when measuring to the nearest quarter inch, the answer would have been 8 1/2. Instead the answer was 8 1/4 because the length was closer to 8 1/4 than it was to 8 1/2.
Answer:
$0.5
Step-by-step explanation:
Given data
Cost of 5 pencils= $2.50
Required
The cost per pencil
The cost per pencil is
Cost of 5 pencils divided by 5
=2.5/5
=$0.5
This is the constant of proportionality
For any number of pencils x
The cost is
Cost =0.5x
Hence the cost of one pencil is $0.5
Answer: a. $2700
b. $10200
Step-by-step explanation:
a. The interest she would have earned at the end of the 6 years can be gotten using the formula
= PRT/100
= $7500 × 6% × 6
= $7500 × 6/100 × 6
= $7500 × 0.06 × 6
= $2700
b. Her balance when she wants to withdraw the money would be:
= $7500 + $2700
= $10200
Answer:
Step-by-step explanation:
AB and DC are parallel, so ∠B and ∠C are supplementary angles.
∠B = 180°-∠C = 79°
AD and BC are congruent. ∠A = ∠B = 79°
