Answer:
67
Step-by-step explanation:
● -(x + 3) + (y - 5) + (z - 6)
● -x - 3 + y - 5 + z - 6
● (-x + y + z) + (3 -5 -6)
● 75 + 3 - 11
● 78 - 11
● 67
x=96
all interior angles equal 180
Subtract exterior andgles by 180 to get interior angles because they are supplementary
180-134=46
180-130=50
Get the third angle inside the triangle
180-50-46=84
subtract by 180 to get x because they are supplementary
180-84=96
Therefore x =96
Answer:
- 3) y = (7/2)x -12
- 4) y = 3x -5
- 7) y = (1/3)x +4/3
- 8) y = (-4/3)x +8/3
Step-by-step explanation:
In every case, you can ...
- replace any constant in the equation by 0
- for point (h, k), replace x with (x-h) and y with (y-k), then simplify
- solve for y (add the opposite of the y-term; divide by the y-coefficient)
3) -7(x-4) +2(y-2) = 0 ⇒ -7x +2y +24 = 0
... y = (7/2)x -12
4) (y+2) = 3(x-1)
... y = 3x -5
7) -(x+4) +3(y-0) = 0 ⇒ -x +3y -4 = 0
... y = (1/3)x +4/3
8) 4(x-2) +3(y -0) = 0 ⇒ 4x +3y -8 = 0
... y = (-4/3)x +8/3
5x - 2 = 13
5x = 13 + 2
5x = 15 (divide both sides by 5 to get x)
5x/5 = 15/5
x = 3
Answer:
See Explanation
Step-by-step explanation:
The question has unclear information.
So, I'll answer from scratch
Given
ABC = Right angled triangle
DB bisects ABC
Required
Prove that CBD = 45
From the question, we have that:
ABC is right angled at B
So, when DB bisects ABC, it means that DB divides ABC into two equal angles.
i.e.

and

Substitute CBD for ABD in 


Divide both sides by 2



Hence, it is proved that 
<em>Follow the above explanation and use it to answer your question properly</em>