Answer:
A=8x-8
B=5x+25
A=B(BEING corresponding angles)
8x-8=5x+25
8x-5x=25+8
3x=33
x=33/3
x=11
now 8x-8= 8×11-8
= 88-8
=80
5x+25= 5×11+25
=55+25
= 80
A=B#
As y varies directly with x, there is a proportionality constant. As x increases by that certain constant, y also increases. We equate:
y = kx
where k = proportionality constant.
Given the condition, y = 5 when x = 4, then we solve for k:
5 = k(4)
k = 5/4 or 1.25
When y = 8, then
8 = (5/4)(x)
x = 8/(5/4) = (8)(4/5) = 32/5 or 6.4 (ANSWER)
Answer:
r = 2x + 7
Step-by-step explanation:
get r on one side
8x + 12 + 16 = 4r
divide both sides by 4 to get r by itself
8x/4 + 12/4 + 16/4 = 4r/4
2x + 3 + 4 = r
2x + 7 = r
or
r = 2x + 7
Answer:
real
Step-by-step explanation:
-169 is a negative integer and integers are real numbers
Answer:
$119
Step-by-step explanation:
Let
x -----> the number of skaters
y -----> the cost for birthday parties
we have the points
(10,107) and (15,137)
step 1
Find the slope of the linear equation
The formula to calculate the slope between two points is equal to
substitute the values
step 2
Find the equation of the line in point slope form

we have

substitute

step 3
Convert to slope intercept form



step 4
How much would a party for 12 skaters cost?
For x=12 skaters
substitute the value of x in the equation and solve for y

