Answer:

Step-by-step explanation:
we know that
If triangles EFG and QRS are similar
then
the scale factor is equal to the measure of the smallest side of triangle QRS divided by the smallest side of triangle EFG
so
Let
x-------> the smallest side of triangle QRS
y-------> the smallest side of triangle EFG
z-------> the scale factor
we have

substitute the values


Find the length of the longest side of QRS
The length of the longest side of QRS is equal to multiply the scale factor by the length of the longest side of EFG
so

1) Graph a straight segment that starts at the point (0, 1000) and (200/13 , 0)
That segment is in the first quadrant and is like a ramp going downward from left to right.
2) a) slope = - 65 is the change in y (the # of miles remaiing) per miles run (change in x). It is negative because when the Vieras have increase the distance run (x), the distance remaining (y) decreases.
b) the y - intercept (1000) representes the distance from the starting point (Philadelphia) fo the destiny (Orlando), i.e. the distance in miles remaining before departing (when x =0).
Answer:
(2,4)
Step-by-step explanation:
We have the system:
y=x+2
y=3x-2.
This is already setup for substitution.
I'm going to replace my first y with what the second y equals.
That is, I'm going to write 3x-2=x+2.
Time to solve the following for x:
3x-2=x+2
Subtract x on both sides:
2x-2= 2
Add 2 on both sides:
2x. = 4
Divide both sides by 2:
x. = 2
Now that we know x=2 and we have an equation that relates x to y: either y=x+2 or y=3x-2, doesn't matter which we use, we can find y.
So we y=x+2 with x=2 which means y=2+2=4.
So the solution, the intersection, is (2,4).
(35 + 47 + 42 + x) / 4 = 50
(124 + x) / 4 = 50....multiply both sides by 4, cancelling the 4 on the left side.
124 + x = 50 * 4
124 + x = 200
x = 200 - 124
x = 76 <===
The correct answer is A.
I Hope I helped you! :)
- Shelly O