The series of transformations that map triangle ABC onto triangle DEF to prove ABC≅DEF is to translation 3 units <span>right then a reflection across x-axis.</span>
Answer:
1.7059
Step-by-step explanation:
2(x-3)+9=3(x+1)+x
2x-6+9=3x+3+x
2x+3=4x+3
-2x -2x
3=2x+3
-3 -3
0=2x
x=0
Answer:
The options are not shown, so i will answer in a general way.
Let's define the variables:
h = number of hats
m = number of mugs.
We know that a total of 1000 items were ordered, then:
h + m = 1000
We also know that we have 3 times more mugs than hats, this can be written as:
m = 3*h
Now we have the system of equations:
h + m = 1000
m = 3*h
To solve these, we usually start by isolating one of the variables in one equation and then replace that in the other equation, but in this case, we already have m isolated in the second equation, then we can replace that in the first equation to get:
h + m = 1000
h + (3*h) = 1000
Now we can solve this equation for h, and find the number of hats ordered.
4*h = 1000
h = 1000/4 = 250
There were 250 hats ordered.
