105.91 is the answer for you
Answer: 3150 miles
Step-by-step explanation: Ok, let's break it down...
180 ÷ 2 = 90 / The train travels 90 mph....
90 * 7 = 630 / The jet travels 630 mph....
630 * 5 = 3150 / The jet will travel 3150 miles in 5 hours, I hope this helps!
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
Answer:
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Step-by-step explanation: