<em><u>Question:</u></em>
The equations in this system were added to solve for x. What is the value of x? -2x+y=8 5x-y=-5 3x=3
Options:
x = negative 3
x = negative 1
x = 1
x = 3
<em><u>Answer:</u></em>
The value of x is 1
<em><u>Solution:</u></em>
<em><u>Given system of equations are:</u></em>
-2x + y = 8 ------- eqn 1
5x - y = -5 ------- eqn 2
The above equations are added to solve for "x"
Add eqn 1 and eqn 2
-2x + y + 5x - y = 8 - 5
Combine the like terms
-2x + 5x + y - y = 3
Add the like terms
3x + 0 = 3
3x = 3
Divide both sides of equation by 3
x = 1
Thus the value of x is 1
ANSWER
EXPLANATION
The measure of arc AC corresponds to 22% + 24%=46%
The complete angle of the circle is 360°.
Therefore the measure of arc AC is
This simplifies to
The correct answer is A.
Answer:
33
Step-by-step explanation:
The two angles add up to 180 degrees because a straight line is 180 degrees
<em>Add both equations and set equal to 180</em>
3m + 138 + 7m +12 = 180
<em>Algebra yeet</em>
<em>Simplify</em>
10m +150 = 180
10m = 30
m = 3
Angle DBC is (7m + 12):
<em>Substitute m = 3</em>
7(3) + 12 = 21 + 12 = 33 degrees
11:00 P.M.
Bus A would do the route 13 times
Bus B would do the route 12 times
Answer:
≈ 39.3 in²
Step-by-step explanation:
The area of the sector is calculated as
A = area of circle × fraction of circle
= πr² × 
= π × 10² × 
= 
≈ 39.3 in² ( to 1 dec. place )
