Answer:
D
Step-by-step explanation:
If we use the calculator will find out that x= √151/2 ≈ 6.1441
D. 6 < x < 7
x is less then 7 and greater than 6
Without the calculator you can think that 151 is almost 144 that is 12² so
we can approximate √151 to be a bit more then 12
√151/2 = a bit more then 12 /2 = 6 and a bit more
c=52, a=2b+8
<span>
Pythagorean Theorem = a^2+b^2=c^2</span>
<span>
(2b+8)^2+b^2=52^2</span>
<span>
<span>
4b^2+32b+64+b^2=2704</span></span>
<span><span>
5b^2+32b-2640=0 </span></span>
<span>
b=20 </span>
a= 2(20)+8 =
48
<span>48+20+52
= 120</span>
2 gallons of paint are required!
Hope this helps!!
When a figure is dilated, this means the corresponding sides of the shape is enlarged in a uniform multiple. In thsi case, the ratio of the sides remains the same. Thus, when ratio of the sides remains the same, the corresponding angles are also congruent in the dilated figure.
