Answer:
• (6, -7)
• (-4, 13)
Explanation:
• Option One
2x + y = 5
2(6) + (-7) = 5
12 - 7 = 5
5 = 5 {true}
3y = 15 - 6x
3(-7) = 15 - 6(6)
-21 = 15 - 36
-21 = -21 {true}
• Option Two
2x + y = 5
2(2) + 1 = 5
4 + 1 = 5
5 = 5 {true}
3y = 15 - 6x
3(1) = 15 - 6(2)
3 = 15 - 12
3 = 13 {not true}
• Option Three
2x + y = 5
2(-2) + (-9) = 5
-4 - 9 = 5
-13 = 5 {not true}
3y = 15 - 6x
3(-9) = 15 - 6(-2)
-27 = 15 + 12
-27 = 27 {not true}
• Option Four
2x + y = 5
2(-4) + 13 = 5
-8 + 13 = 5
5 = 5 {true}
3y = 15 - 6x
3(13) = 15 - 6(-4)
39 = 15 + 24
39 = 39 {true}
Multiplication property; distribution property of an exponent. Multiply exponents together, then distribute the ¨( )¨
Answer:
b
Step-by-step explanation:
<span>C. E(n)=5n+42
5 times the number of people + 7 times 6
</span>
Answer:
135°
Step-by-step Explanation:
==>Given:
An inscribed quadrilateral ABCD with,
m<A = (3x +6)°
m<C = (x + 2)°
==>Required:
measure of angle A
==>Solution:
First, let's find the value of x.
Recall that the opposite angles in any inscribed quadrilateral in a circle are supplementary.
Therefore, this means m<A + m<C = 180°
Thus, (3x+6) + (x+2} = 180
3x + 6 + x + 2 = 180
Collect like terms:
3x + x + 6 + 2 = 180
4x + 8 = 180
Subtract 8 from both sides:
4x + 8 - 8 = 180 - 8
4x = 172
Divide both sides by 4:
4x/4 = 172/4
x = 43
We can now find m<A = (3x + 6)°
m<A = 3(43) + 6
= 129 + 6
measure of angle A = 135°
