Answer:
See below.
Step-by-step explanation:
This is how you prove it.
<B and <F are given as congruent.
This is 1 pair of congruent angles for triangles ABC and GFE.
<DEC and <DCE are given as congruent.
Using vertical angles and substitution of transitivity of congruence of angles, show that angles ACB and GEF are congruent.
This is 1 pair of congruent angles for triangles ABC and GFE.
Now you need another side to do either AAS or ASA.
Look at triangle DCE. Using the fact that angles DEC and DCE are congruent, opposite sides are congruent, so segments DC and DE are congruent. You are told segments DF and BD are congruent. Using segment addition postulate and substitution, show that segments CB and EF are congruent.
Now you have 1 pair of included sides congruent ABC and GFE.
Now using ASA, you prove triangles ABC and GFE congruent.
15 dollars because you subtract production cost from what is charged
Answer:
It is 60.
Step-by-step explanation:
When shapes are dilated (when they get bigger or smaller), perimeter changes linearly—in direct proportion with length. This means if the scale factor is 2, then you multiply it by 2. 2 multiplied by 30 equals 60.
Answer:
Maria's book was 8 days late
Step-by-step explanation:
According to the information given, you can write an equation that states that 15¢ multiply for the number of days that the book was late plus $2 is equal to $3.20:
0.15x+2= 3.20
x= number of days that the book was late
Now, you have to solve for x:
0.15x= 3.20-2
0.15x= 1.20
x= 1.20/0.15
x= 8
The book was 8 days late.
<span>Simplifying
2x + 8y = 10
Solving
2x + 8y = 10
Solving for variable 'x'.
Move all terms containing x to the left,
all other terms to the right.
Add '-8y' to each side of the equation.
2x + 8y + -8y = 10 + -8y
Combine like terms: 8y + -8y = 0
2x + 0 = 10 + -8y
2x = 10 + -8y
Divide each side by '2'.
x = 5 + -4y
Simplifying
x = 5 + -4y</span>