Answers:
- x = 9
- angle QRT = 18 degrees
- angle TRS = 72 degrees
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Explanation:
The smaller angles QRT and TRS combine to the angle QRS which is 90 degrees.
(angle QRT) + (angle TRS) = angle QRS
(2x) + (8x) = 90
10x = 90
x = 90/10
x = 9
We'll then use this x value to find each angle
- angle QRT = 2x = 2*9 = 18 degrees
- angle TRS = 8x = 8*9 = 72 degrees
As a way to check the answer,
angle QRT + angle TRS = 18+72 = 90
so the answer is confirmed.
Answer:
y = x + 4
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m =
with (x₁, y₁ ) = (- 2, 3) and (x₂, y₂ ) = (2, 5) ← 2 points on the line
m = = = , then
y = x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (2, 5 ) , then
5 = 1 + c ⇒ c = 5 - 1 = 4
y = x + 4 ← equation of line
1- Solving for y in the first equation, y=0
2- Substituting 0 for y in the second equation.
3- A zero is in the denominator, which is undefined
4- Therefore, the result is no solution
Answer:
x=5
Step-by-step explanation:
The sides have to be equal length
3x+4 = 5x-6
Subtract 3x from each side
3x+4-3x = 5x-6-3x
4 = 2x-6
Add 6 to each side
4+6 = 2x-6+6
10 = 2x
Divide by 2
10/2 =2x/2
5 =x