Answer:
45º
Step-by-step explanation:
Since we know the relatiionship of a 45-45-90 degree triangle, we can go two ways. Either we can use this to find CA and get the tangent of (6/6) or we can go straight to it. The hypotenuse in a 45-45-90 is always 6√2 and we know it is a right triangle so we can confirm this. So, measure of angle B is 45º.
Answer:
60/25 is greater than 60/132
Answer:
![[x=\frac{1(4)+3(-2)}{1+3}, y=\frac{1(7)+3(4)}{1+3}]](https://tex.z-dn.net/?f=%5Bx%3D%5Cfrac%7B1%284%29%2B3%28-2%29%7D%7B1%2B3%7D%2C%20y%3D%5Cfrac%7B1%287%29%2B3%284%29%7D%7B1%2B3%7D%5D)
![[x=\frac{4-6}{4}, y=\frac{7+12}{4}]](https://tex.z-dn.net/?f=%5Bx%3D%5Cfrac%7B4-6%7D%7B4%7D%2C%20y%3D%5Cfrac%7B7%2B12%7D%7B4%7D%5D)
![[x=\frac{-2}{4}, y=\frac{19}{4}]](https://tex.z-dn.net/?f=%5Bx%3D%5Cfrac%7B-2%7D%7B4%7D%2C%20y%3D%5Cfrac%7B19%7D%7B4%7D%5D)
![[x=-0.5, y=4.75]](https://tex.z-dn.net/?f=%5Bx%3D-0.5%2C%20y%3D4.75%5D)
Therefore, the coordinates of point 'b' would be (-0.5 , 4.75).
Step-by-step explanation:
We have been given that point a is at (-2,4) and point c is at (4,7) .
We are asked to find the coordinates of point b on segment ac such that the ratio is 1:3.
We will use section formula to solve our given problem.
When point P divides a segment internally in the ratio m:n, the coordinates of point P would be:
![[x=\frac{mx_2+nx_1}{m+n}, y=\frac{my_2+ny_1}{m+n}]](https://tex.z-dn.net/?f=%5Bx%3D%5Cfrac%7Bmx_2%2Bnx_1%7D%7Bm%2Bn%7D%2C%20y%3D%5Cfrac%7Bmy_2%2Bny_1%7D%7Bm%2Bn%7D%5D)

![[x=\frac{1(4)+3(-2)}{1+3}, y=\frac{1(7)+3(4)}{1+3}]](https://tex.z-dn.net/?f=%5Bx%3D%5Cfrac%7B1%284%29%2B3%28-2%29%7D%7B1%2B3%7D%2C%20y%3D%5Cfrac%7B1%287%29%2B3%284%29%7D%7B1%2B3%7D%5D)
![[x=\frac{4-6}{4}, y=\frac{7+12}{4}]](https://tex.z-dn.net/?f=%5Bx%3D%5Cfrac%7B4-6%7D%7B4%7D%2C%20y%3D%5Cfrac%7B7%2B12%7D%7B4%7D%5D)
![[x=\frac{-2}{4}, y=\frac{19}{4}]](https://tex.z-dn.net/?f=%5Bx%3D%5Cfrac%7B-2%7D%7B4%7D%2C%20y%3D%5Cfrac%7B19%7D%7B4%7D%5D)
![[x=-0.5, y=4.75]](https://tex.z-dn.net/?f=%5Bx%3D-0.5%2C%20y%3D4.75%5D)
Therefore, the coordinates of point 'b' would be (-0.5 , 4.75).
It is 12 because:
18/6=x/4
Multiply 4 on either side
72/6=x
Simplify
12=x
Hope this helps!!
Answer:
37.5
Step-by-step explanation:
Let the length of the shorter piece be x and the longer piece be 5x.
Short piece + Long piece = 285 inches
x + 5x = 225
6x = 225
x = 225 ÷ 6
x = 37.5