Answer:
x=16; y=24
Step-by-step explanation:
for (x,23), 23=0.5x+15
x=16
for (18xy), y=0.5*18+15=24
9514 1404 393
Answer:
x = 21
Step-by-step explanation:
The parallel lines divide the segments proportionally.
x/27 = 28/36
x = 27(28/36) . . . . multiply by 27 (in your head: (3·9)(4·7)/(4·9) = 3·7)
x = 21
Answer:
The number of hamburgers sold was 139 and the number of cheeseburgers sold was 278.
Step-by-step explanation:
Let
x -----> the numbers of hamburgers sold on Thursday
y -----> the numbers of cheeseburgers sold on Thursday
we know that
----> equation A
----> equation B
Substitute the equation B in equation A and solve for x
Find the value of y
therefore
The number of hamburgers sold was 139 and the number of cheeseburgers sold was 278.
Answer:
6,7
Step-by-step explanation:
Let's start with a picture.
We see RST is smaller, and BC is parallel to but in the opposite direction to its corresponding segment ST. Both have slope -1.
If we look at the difference of points (technically called vectors but we don't have to go there) we get
C-B=(-2,2)
T-S=(1,-1)
Without further calculation we can see T-S is half the length of C-B.
The problem asks for a dilation followed by a reflection. We know the dilation scale is k=1/2 because the new triangle is half the size.
After dilation we get A'B'C':
A'(3,2), B'(-1,0), C'(-2,1)
We see now we need a reflection that flips the coordinates x and y. That's the +45° line through the origin, namely y=x.
Answer: k=1/2, y=x
