Answer:
m= -1
Step-by-step explanation:
Order summands
2
Apply negation to the value inside parentheses
3
Add the numbers
4
Add
mm
to both sides of the equation
5
Simplify
Answer:
If EFGH is an isosceles trapezoid,
if
EH=4x-27+
FG=x%2B9+
EG=3y%2B19
FH=11y-21
then EH=FG and EG=FH
set up equations:
4x-27=x%2B9 .......solve for x
4x-x=27%2B9
3x=36
x=36%2F3
3y%2B19=11y-21.......solve for y
11%2B19=11y-3y
30=8y
y=30%2F8
y=15%2F4
y=3.75
so,x=12 and y=3.75
you can also check the length of equal sides and equal diagonals:
EH=4%2A12-27+=21
FG=12%2B9+=21
EG=3%283.75%29%2B19=30.25
FH=11%283.75%29-21=30.25x=12
Step-by-step explanation:
The greatest common factor for these two numbers is 6 because if you divide 24 by 6 you get 4 and if you divide 84 by 6 you get 14.
The simplified form of given expression is 
<em><u>Solution:</u></em>
Given that we have to simplify the expression
<em><u>Given expression is:</u></em>

We can simplify the expression by multiplying each term in first bracket with each term term in second bracket


Simplify the above expression by multiplying the numbers in each term and adding the coefficients of like variables in each term

Combine the like terms


Thus the expression is simplified
Answer:
264.
Step-by-step explanation:
Let x represent the number of trout in the lake.
We have been given that a group of naturalists catch, tag and release 121 trout into a lake. The next day they catch and release 48 trout, of which 22 had been tagged.
Using proportions, we will get:






Therefore, there would be approximately 264 trout in the lake.