Answer:
<u>Option D</u> will be your answer
Step-by-step explanation:
<u>D. x. 9; angle measure is 27</u>
<u>hope</u><u> </u><u>it</u><u> </u><u>helps</u><u> </u><u>u</u><u> </u>
Answer:
18= 2 x 3 x 3
Step-by-step explanation:
Basically, we branch out 18 into its prime factors. So, the prime factorization of 18 is 18= 2 × 3 × 3. A factor tree is not unique for a given number. Instead of expressing 18 as 2 × 9, we can express 18 as 3 × 6.
we know that
The formula to calculate the slope between two points is equal to
![m=\frac{y2-y1}{x2-x1}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7By2-y1%7D%7Bx2-x1%7D)
we have
![G(-1,3)\ H(1,2)\ J(-3,-1)](https://tex.z-dn.net/?f=G%28-1%2C3%29%5C%20H%281%2C2%29%5C%20J%28-3%2C-1%29)
Step 1
<u>Find the slope GH</u>
![G(-1,3)\ H(1,2)](https://tex.z-dn.net/?f=G%28-1%2C3%29%5C%20H%281%2C2%29)
substitute in the formula
![m=\frac{2-3}{1+1}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7B2-3%7D%7B1%2B1%7D)
![m=\frac{-1}{2}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7B-1%7D%7B2%7D)
![mGH=-\frac{1}{2}](https://tex.z-dn.net/?f=mGH%3D-%5Cfrac%7B1%7D%7B2%7D)
Step 2
<u>Find the slope HJ</u>
![H(1,2)\ J(-3,-1)](https://tex.z-dn.net/?f=H%281%2C2%29%5C%20J%28-3%2C-1%29)
substitute in the formula
![m=\frac{-1-2}{-3-1}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7B-1-2%7D%7B-3-1%7D)
![m=\frac{-3}{-4}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7B-3%7D%7B-4%7D)
![mHJ=\frac{3}{4}](https://tex.z-dn.net/?f=mHJ%3D%5Cfrac%7B3%7D%7B4%7D)
Step 3
<u>Find the slope JG</u>
![J(-3,-1)\ G(-1,3)](https://tex.z-dn.net/?f=J%28-3%2C-1%29%5C%20G%28-1%2C3%29)
substitute in the formula
![m=\frac{3+1}{-1+3}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7B3%2B1%7D%7B-1%2B3%7D)
![m=\frac{4}{2}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7B4%7D%7B2%7D)
![mJG=2](https://tex.z-dn.net/?f=mJG%3D2)
Step 4
Verify if triangle GHJ is a right triangle
we know that
if two lines are perpendicular, then the product of their slopes is equal to minus one
so
![m1*m2=-1](https://tex.z-dn.net/?f=m1%2Am2%3D-1)
compare slope GH with slope JG
we have
![mGH=-\frac{1}{2}](https://tex.z-dn.net/?f=mGH%3D-%5Cfrac%7B1%7D%7B2%7D)
![mJG=2](https://tex.z-dn.net/?f=mJG%3D2)
-----> side GH and side JG are perpendicular
The triangle GHJ is a right triangle
The answer in the attached figure
Step-by-step explanation:
$15 initial fee. $2 per hour. $35 limit.
35 - 15 = 20
After the initial fee, he has $20 left.
20 ÷ 2 = 10
He can rent the metal detector for 10 hours.
Answer:
.::.......:...::................
Step-by-step explanation:
mega mind UwU baka