Answer:
D. -3z+2
Step-by-step explanation:
Steps:
Remove parentheses: (a) = a
= 5z+9-(8z+7)
....
Simplify
5z+9-8z-7: -3z+2
Answer: Y and Y'' are congruent after the translation, but not after the dilation.
Step-by-step explanation:
We know that we generally prefer rigid transformations if want to create congruent images.
There are three basic kinds of rigid transformations:
1) rotation 2) reflection 3) translation
So, they all create congruent images.
But a dilation does not create congruent images because it creates an image of similar same shape as the original but not the same size.
Given : Triangle XYZ is translated and then dilated by a scale factor of 4 centered at the origin.
Then, the correct option is "Y and Y'' are congruent after the translation, but not after the dilation."
Rolling a 2 has a probability of 1/6
Odd number probability is 1/2
1/6*1/2=1/12
Answer:
1 toast costs $0.30 and 1 egg cost $0.60
Step-by-step explanation:
Let price of 1 egg be
and price of 1 toast be 
<u>"$1.50 for 2 eggs and one piece of toast":</u>
We can write 
<u>"$.90 for one egg and one piece of toast":</u>
We can write 
Now, we can solve the first equation for t and substitute that into 2nd equation and solve for e:

Now using the value of e (0.6) and putting it back in the first equation, we will get t:

Hence, 1 toast costs $0.30 and 1 egg cost $0.60
Answer: 46 degrees
Explanation: Subtract 32 degrees from 78 degrees and you will get your answer.