We know that the angle of a straight line is 180°.
So we know that (5x-5) + (2x+10) = 180
We will then solve for x
5x - 5 + 2x + 10 = 180
7x + 5 = 180
7x = 175
x = 25 (just an explanation of how we get 25)
To get angle 1, we will then plug in x=25 into the first equation to get
5(25)-5 = 125-5 = 120°
if a = b and b = c, then a = c.
In this case if y = - 7 and -7 = z then y = z .................>(y = a, -7 = b and z = c)
Answer: B)
transitive property of equality
Answer:
y=3x-5
Step-by-step explanation:
parallel means that both lines share the same gradient.
from the equation y=3x-12 , we can deduce that the gradient is 3 because it is in the gradient-intercept form
now substitute values into formula
y-y1=m (x-x1)
y--2=3 (x-1)
expand brackets and simplify
y+2=3x-3
subtract 2 from both sides of equation
y=3x-5
Answer:
c(12 + 9 + 6)
12(2.25c)
Step-by-step explanation:
12c + 12 (3/4c) + 12 (1/2c)
12(1c) + 12(3/4c) + 12 (1/2c)
12(c + 3/4c + 1/2c)
12(2 1/4c)
12(2.25c)
Or
12c + 12 (3/4c) + 12 (1/2c)
12c + 9c + 6c
c(12 + 9 + 6)
Answer:
Step-by-step explanation:
So if you expand out the two binomials (k-2)(k+1), you'll get: 
. which simplifies to: 
. Multiplying this by the k gives you: 
. As you can see the degree is odd, this means that this polynomial will have two opposite end behaviors. And as you can see the leading coefficient is positive, meaning that this function will go towards positive infinity as k goes towards positive infinity. Also we if look at the original equation given, it's in factored form, with the zeroes as k=0, k=2, and k=-1. So given this we can draw a simple graph to see when the value of the equation is negative. If you look at the graph I drew you'll see that it's negative from (-infinity, -1) and then negative from (0, 2)
