Answer:
The actual value is -181/20. Estimate could be -200/20
Step-by-step explanation:
There are many ways to solve this problem. All you have to do is simple algebraic manipulation. Solve for b and h with the two simpler equations:
2b = 12; divide 2 on both sides to get b = 6
h - x = 2; add x to both sides to get h = (2 + x)
Plug this stuff into the first equation to solve for x. Once we solve for x, we can plug that x value into the equation for h. Because you can see we didn’t get an actual numerical value for h. So:
x + (2+x) + 6 = 14
Subtract 6 from both sides and distribute that plus sign to get rid of the parenthesis. Then combine the like terms to get:
2x + 2 = 8
Subtract 2 from both sides and divide by 2 to get x = 3
Finally plug it into the equation for h:
h = 2+3 = 5
Answer:
- 8
units
Step-by-step explanation:
<u>We know that:</u>
<u>We can find one side by distance formula:</u>
- a =
- a =
<u>Then the perimeter is:</u>
- P = 4*2 = 8 units
You'll apply the geometric mean formula. The idea is to multiply the two pieces of the hypotenuse: 5*11 = 55
Then apply the square root to get sqrt(55)
The exact answer in terms of radicals or square roots is sqrt(55)
Using a calculator, the approximate answer is sqrt(55) = 7.416198
If your teacher wants you to use a proportion, then one way to do it is to have
11/y = y/5
11*5 = y*y
55 = y^2
y^2 = 55
y = sqrt(55)
y = 7.416198 approximately
Answer:
m<a = 77
m<b= 103
Step-by-step explanation:
m<a+m<b = 180(supplementary angles)
3x/8+50+x+31=180
3x/8+x+81=180
(3x+8x)/8=180-81
3x+8x=99*8
11x=792
x=792/11
x=72
now
m<a=3x/8+50
=(3*72)/8+50
=77
m<b=x+31
=72+31
=103
