Answer:
x = 16
Step-by-step explanation:
Verticle angles are always congruent, so:
(8x + 15) = 143
Now, we can solve to isolate x:
8x + 15 - 15 = 143 - 15 (subtract 15 from both sides)
8x/8 = 128/8 (divide both sides by 8)
x = 16
You can always plug in the value of x to the original equation to check your answer:
8(16) + 15 = 143
Answer: y = -4x/5 + 13
Step-by-step explanation:
The equation of a straight line can be represented in the slope intercept form as
y = mx + c
Where
c represents the y intercept
m represents the slope of the line.
The equation of the given line is
y = 5x/4 - 2
Comparing with the slope intercept form, slope = 5/4
If two lines are perpendicular, it means that the slope of one line is the negative reciprocal of the slope of the other line.
Therefore, the slope of the line passing through (10, 5) is - 4/5
To determine the y intercept, we would substitute m = - 4/5, x = 10 and y = 5 into y = mx + c. It becomes
5 = - 4/5 × 10 + c
5 = - 8 + c
c = 5 + 8 = 13
The equation becomes
y = -4x/5 + 13
First we solve for y₁
3×5 - 5y₁ = 20
15 - 5y₁ = 20
-5y₁ = 20 - 15
-5y₁ = 5
y₁ = -1
(5, -1)
Now we solve for x₂
3x₂ - 5×2 = 20
3x₂ - 10 = 20
3x₂ = 20 + 10
3x₂ = 30
x₂ = 10
(10, 2)
I believe the answer is D :)
