17. RQ is the same as PS.
PS = -1 + 4x
RQ = 3x + 3
-1 + 4x = 3x + 3
4x = 3x + 4
x = 4
Now plug that into RQ.
3(4) + 3 = RQ
15 = RQ
18. Angles G and E are equal to each other.
G = 5x - 9
E = 3x + 11
5x - 9 = 3x + 11
5x = 3x + 20
2x = 20
x = 10
Plug that x into G.
5(10) - 9
41 = G
19. TE and EV are equal to each other.
TE = 4 + 2x
EV = 4x - 4
4 + 2x = 4x - 4
2x = 4x - 8
-2x = -8
x = 4
Plug that into TE.
4 + 2(4)
12 = TE
20. DB and BF are equal.
DB = 5x - 1
BF = 5 + 3x
5x - 1 = 5 + 3x
5x = 6 + 3x
2x = 6
x = 3
Plug that into DB.
5(3) - 1
14 = DB
The solution to given system of equations are 
<em><u>Solution:</u></em>
Given that we have to find solution to the system of equations
<em><u>Given equations are:</u></em>
x + 2y = 10 ------ eqn 1
y = 12x + 3 ------ eqn 2
We can solve the above equations by substitution method
<em><u>Substitute eqn 2 in eqn 1</u></em>
x + 2(12x + 3) = 10
x + 24x + 6 = 10
25x = 10 - 6
25x = 4
<em><u>Substitute the above value of x in eqn 2</u></em>
Thus the solution to given system of equations are
We know that it costs $68 for 16 square feet of flooring. To find out how much it costs for 12, we first have to find out how much it costs for 1 square foot.
To find that, we would do $68 divided by 16, which is 4.25.
That means 1 square foot costs $4.25.
Then, we would multiply $4.25 by 12 to find how much 12 square feet costs.
$4.25 times 12 is 51.
So, it would cost $51 to have 12 square feet of flooring.
Answer:
d = 90°
e = 41°
f = 139°
Step-by-step explanation:
d + 90° = 180° (Angles in linear pair)
-> d = 180° - 90°
-> d = 90°
e = 41° (vertical angles)
f + 41° = 180° (Angles in linear pair)
-> f = 180° - 41°
-> f = 139°
