Answer:
Step-by-step explanation:
In a parallelogram, this one in particular:
KR = RM
JR = RL
We are looking in the end for the length of JR, but that means that we need to solve for x somehow to plug in the expression for JL, and then split that in half. Here's how we're going to go about it. I know that
KM = KR + RM, but since KR and RM are the same length, the equation becomes
KM = 2KR. Filling that in with the expressions I'm given for KM and KR:
3x - 5 = 2(x + 7) and
3x - 5 = 2x + 14 and
x = 19. Now I can find the length of JL:
JL = 4x - 10 so
JL = 4(19) - 10 and
JL = 66
Knowing that JR = RL and JL is 66 units long, JR = RL = 33 units each.
Answer:
negative
Step-by-step explanation:
as x increases y decreases
that’s negative
Answer:
The correct option is;
The situation shows correlation without causation
Step-by-step explanation:
The given data are;
Weight y
Miles Per Gallon
42
18
36
12
30
6
.
x
24
0
The first difference of the data = 42 - 36 = 36 - 30 = 30 - 24 = 6
18 - 12 = 12 - 6 = 6 - 0 = 6
The first difference of the data is constant and equal to 6
Therefore, the graph is a straight line graph with y-intercept = 24 and slope given by the rate of change of the weight to the miles per gallon of fuel consumption as follows;
The rate of change of the weight to the miles per gallon of fuel consumption is given as follows;
(42 - 24)/(18 - 0) = 1
Therefore, the points of the data fit into the straight line and the data of the situation shows correlation
In order to show causation, and to rule out other possible causes for the rise in MPG, a separate experiment will be required whereby the cause for the rise in MPG can be determined.
Answer:
Step-by-step explanation:
Given that f(x) = 3x + 21
Plug in 3 for x
F(3)= 3(3) +21
F(3) = 9+21
f(3) = 30
Plug in 7 for x
F(7)= 3(7) +21
F(7) = 21+21
f(7) = 42
Answer:
y-5=m(x-4) then solve
Step-by-step explanation: