Given:
Angle LMN has a measure of 35°.
The angle is rotated 75° about point M to create angle L'M'N'.
To find:
The measure of angle L'M'N'.
Solution:
We have,

The angle LMN is rotated 75° about point M to create angle L'M'N'.
We know that, rotation is a rigid transformation. So, after rotation the corresponding sides and angles remains congruent.
It means,


Therefore, the measure of angle L'M'N' is 35°.
Answer:
yes
It follows the y=mx+b format so it’s linear
Hopes this helps
For #25 it would be C because distributive property is multiplying a single term and two other terms inside a parenthesis. for example 5(2+8).
For the second question your answer is 5 because in order for all the bouquets to have the same number of flowers there has to be 8 sets with 9 red flowers in it which equal 72. so if you have 8 sets then you would put 5 white flowers in each to equal 40.
a. If c is the total number of cars washed and p is the profit
The profit depends on the total number of cars washed.
So profit P is the dependent variable and C is the independent variable
(b) yes, the relationship between c and p a function
Because for each input for c, there will be an unique output for P
(c) C is the number of cars
Each car charged is $5
So C cars charged is 5C
The liquid soap costs $34 and is enough to wash 40 cars. So we subtract 34
Hence Profit P = 5c - 34
The equation is P = 5c - 34
(d) The liquid soap costs $34 and is enough to wash 40 cars
So number of cars is 0 to 40
0<=c <=40
soap costs $34
so profit is above 34
When cars = 40 then profit is 5(40) - 34= 166
So profit lies between 34 and 166
34<= P<= 166
The answer is 5 with 2 in the last locker because 6×17=102 and 17÷3=5r2