The 3 inside angles of a triangle equal 180.
Add the 3 angles together to equal 180:
X + (5x-20) + 4x = 180
Simplify the left side by adding like terms:
10x-20 = 180
Add 20 to each side:
10x = 200
Divide both sides by 10:
x = 20
Angle A = x = 20
Angle B = 4X = 4(20) = 80
Angle C = 5x-20 = 5(20) -20 = 100-20 = 80
7. D
8. D
9. D
10.C
for 7 & 8 you use the equation

your points are (3,8) & (9,5)
so you plug the numbers in
y2= 5
y1=8
x2=9
x1=3
you subtract them get a fraction and that is your slope
9 & 10
use the equation

plug you numbers in for y1 and x2 m is your slope plug it in and that is your equation
Answer: 2
<u>Step-by-step explanation:</u>
You only need to evaluate at the limit point.
f(x) = 4 - x ; x ≠ 2
Consider the solution if x = 2 (because the limit is x → 2)
f(2) = 4 - (2)
= 2
We know that f(x) = 0 ; x = 2
f(2) = 0
but we are looking for the y- value it approaches - not the y-value it is.
Look at the graph. You will see that as x gets closer and closer to 2, the y-value gets closer and closer to 2. This is the limit.
Answer:
Below in bold.
Step-by-step explanation:
x^2 - 2x - 3 = 0
(x - 3)(x + 1) = 0
The zeroes are -1, 3.
Change to vertex form:
= (x - 1)^2 - 1 - 3
= (x - 1)^2 - 4
So the axis of symmetry is x = 1.
The vertex is at (1, -4) and it is a minimum (because the coefficient of x^2 is positive).
Domain is (-∞, ∞)
Range is [-4, ∞).
Increasing when x < 1.
Decreasing when x > 1.
End behaviour x ---- -∞ , y --> ∞
x ----> ∞, y ---> ∞
Answer:
If you have given an equation, you see the x and y in it. Just taking second equation and think any common factor between x's variable. With common factor, multiply both and you will find the value of y and put it in any equation, you will find the value of X.
Step-by-step explanation:you’re welcome