When two shapes are mathematically similar, that means that all their sides are in a proportion.
We know the sieds of EH and AD, and so we can find the proportion of the shapes using these two sides.
EH/AD = 6/9 = 2/3
The ratio of EFGH to ABCD is 2:3
Now we have to find BC.
Becuase they're in proportion, we can form this equation:
= 
Cross multiply:
24 = 2*BC
Divide both sides by 2:
BC = 12 cm
Good luck!
Answer:
Step-by-step explanation:
<u>The new dimensions will be:</u>
The area is 540
<u>Using area equation we get:</u>
- (10 + x)(22 + x) = 540
- x² + 32x + 220 = 540
- x² + 32x = 320
- x² + 2x*16 + 256 = 320 + 256
- (x + 16)² = 576
- x + 16 = √576 (Ignoring the negative root as the length is never negative)
- x + 16 = 24
- x = 8
<u>The new dimensions are:</u>
- 10 + 8 = 18 ft and
- 22 + 8 = 30 ft
Writing the word problem as an equation you get:
x - 18 ≥ -12
Now to solve for x:
Add 18 to both sides of the inequality:
x ≥ -12 + 18
Simplify:
x ≥ 6
Here you go. Do you think that you could help me with my question
5a – 10b = 45
5a – 10(3) = 45
5a – 30 = 45
+30 +30
5a = 75/5
<span>a = 15</span>
Answer:76
Step-by-step explanation:
Vince=160
Nadir=140, which =56 on another planet. 140-56=84, so there's an 84lbs weight difference.
160-84=76 pick c