Answer:
82%
Step-by-step explanation:
Total number of questions = 150
Questions not answered = 27
questions answered = 150 - 27 = 123
percent questions answered
= (questions answered / total questions ) x 100%
= (123/150) x 100%
= 82%
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
All's =a
Bob's =b
Lunar =l
A:B = 4:5 B:C = 6:7
Multiply the two ratios above by 6 and 5 respectively
A:B = 24:30 and B:L=30:35
Now that we have the B's to be the same
Alls:Lunar = 24:35
Answer:
The product of the expression is -12s² + 11st - 2t²
Step-by-step explanation:
(-3s + 2t)(4s - t)
Use the foil method to multiply the terms. So, we distribute -3s to (4s - t) and we will also distribute 2t to (4s - t) as well.
-12s² + 3st + 8st - 2t²
Now combine like terms.
-12s² + 11st - 2t²
