9514 1404 393
Answer:
∠4 = 45°
Step-by-step explanation:
Angles 1, 2, and 4 are all congruent.
∠4 = ∠2
x +30 = 2x +15
15 = x . . . . . . . . . . . . . subtract x+15
x + 30 = 45 = ∠4
Answer:
![x-intercept:(-2,0)\\\\y-intercept:(0,-\frac{5}{2})](https://tex.z-dn.net/?f=x-intercept%3A%28-2%2C0%29%5C%5C%5C%5Cy-intercept%3A%280%2C-%5Cfrac%7B5%7D%7B2%7D%29)
Step-by-step explanation:
The y-intercept is where x is 0 (0,y)
The x-intercept is where y is 0 (x,0)
Insert 0 as the value for x to find the corresponding y value:
![-5(0)-4y=10](https://tex.z-dn.net/?f=-5%280%29-4y%3D10)
Simplify multiplication:
![0-4y=10\\\\-4y=10](https://tex.z-dn.net/?f=0-4y%3D10%5C%5C%5C%5C-4y%3D10)
Isolate the variable. Divide both sides by 4:
![\frac{-4y}{4}=\frac{10}{4} \\\\-y=\frac{10}{4} \\\\-y=\frac{5}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B-4y%7D%7B4%7D%3D%5Cfrac%7B10%7D%7B4%7D%20%20%5C%5C%5C%5C-y%3D%5Cfrac%7B10%7D%7B4%7D%20%5C%5C%5C%5C-y%3D%5Cfrac%7B5%7D%7B2%7D)
Make the variable positive. Multiply both sides by -1:
![-1(-y)=-1(\frac{5}{2})\\\\y=-\frac{5}{2}](https://tex.z-dn.net/?f=-1%28-y%29%3D-1%28%5Cfrac%7B5%7D%7B2%7D%29%5C%5C%5C%5Cy%3D-%5Cfrac%7B5%7D%7B2%7D)
The y-intercept is at
.
Insert 0 as the value for y to determine the value of x:
![-5x-4(0)=10](https://tex.z-dn.net/?f=-5x-4%280%29%3D10)
Simplify multiplication:
![-5x-0=10\\\\-5x=10](https://tex.z-dn.net/?f=-5x-0%3D10%5C%5C%5C%5C-5x%3D10)
Isolate x. Divide both sides by 5:
![\frac{-5x}{5} =\frac{10}{5} \\\\-x=2](https://tex.z-dn.net/?f=%5Cfrac%7B-5x%7D%7B5%7D%20%3D%5Cfrac%7B10%7D%7B5%7D%20%5C%5C%5C%5C-x%3D2)
Multiply both sides by -1:
![-1(-x)=-1(2)\\\\x=-2](https://tex.z-dn.net/?f=-1%28-x%29%3D-1%282%29%5C%5C%5C%5Cx%3D-2)
The x-intercept is at
.
:Done
Answer:
B
Step-by-step explanation:
Answer:
A=33
2a2
Step-by-step explanation: