Answer:
-5
Step-by-step explanation:
4+2(x-4) = -7(x+7)
First, work out parenthesis: 4+ 2x-8 = -7x -49
Combine like terms: 2x-4= -7x-49
now isolate x by first adding 49 to each side: 2x+45= -7x
Then subtract 2x from each side: 45= -9x
Last, divide both sides by -9:
x= -5
Answer:
The length of the ladder would be 32 feet.
Step-by-step explanation:
In order to find the missing value, we create a proportion. We can do this by making two fractions -- the numerator being the depicted length and the denominator being the actual length.
(1.5/4) = (12/x)
Since we don't know the actual length of the ladder, we put it in as x. Now we can cross multiply to solve.
(1.5/4) = (12/x)
1.5*x = 4*12
1.5x = 48
x = 32
24 divided by 1/8 = 192
24 divided by 1/7 = 168
Answer:
A
Step-by-step explanation:
Area of a triangle = ![\frac{bh}{2}](https://tex.z-dn.net/?f=%5Cfrac%7Bbh%7D%7B2%7D)
where b = base length and h = height
the triangle shown has a base length of 2 and 1/2 and a height 4. and 2/5
So area =
![\frac{2\frac{1}{2} *4\frac{2}{5} }{2} \\\\2\frac{1}{2} *4\frac{2}{5} =11\\\\\frac{11}{2} =5.5](https://tex.z-dn.net/?f=%5Cfrac%7B2%5Cfrac%7B1%7D%7B2%7D%20%2A4%5Cfrac%7B2%7D%7B5%7D%20%7D%7B2%7D%20%5C%5C%5C%5C2%5Cfrac%7B1%7D%7B2%7D%20%2A4%5Cfrac%7B2%7D%7B5%7D%20%3D11%5C%5C%5C%5C%5Cfrac%7B11%7D%7B2%7D%20%3D5.5)
5.5 also = ![5\frac{1}{2}](https://tex.z-dn.net/?f=5%5Cfrac%7B1%7D%7B2%7D)
Hence, the correct answer is A
Answer:
Step-by-step explanation:
<u>Given</u>
- The First street is vertical leg of the right triangle. Side f
- The Main street is horizontal leg of the right triangle. Side m
- Angle x is opposite to side m.
- tan x = m/f = 7/5
<u>If m = 21 miles then using the above ratio find the value of f:</u>
- 21/f = 7/5
- f = 21*5/7 = 15
Correct choice is A