Answer:
<u>Option 3</u> satisfies the equation y = -2x + 1.
Step-by-step explanation:
7 = -2*-3 + 1 makes sense
-5 = -2*3 + 1 also makes sense
-9 = -2*-9 + 1 is correct
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Solve for x:
10 (x + 2) = 5 (x + 8)
Expand out terms of the left hand side:
10 x + 20 = 5 (x + 8)
Expand out terms of the right hand side:
10 x + 20 = 5 x + 40
Subtract 5 x from both sides:
(10 x - 5 x) + 20 = (5 x - 5 x) + 40
10 x - 5 x = 5 x:
5 x + 20 = (5 x - 5 x) + 40
5 x - 5 x = 0:
5 x + 20 = 40
Subtract 20 from both sides:
5 x + (20 - 20) = 40 - 20
20 - 20 = 0:
5 x = 40 - 20
40 - 20 = 20:
5 x = 20
Divide both sides of 5 x = 20 by 5:
(5 x)/5 = 20/5
5/5 = 1:
x = 20/5
The gcd of 20 and 5 is 5, so 20/5 = (5×4)/(5×1) = 5/5×4 = 4:
Answer: x = 4
Answer:
<em>m<A = 40 deg</em>
<em>m<B = 60 deg</em>
<em>m<C = 80 deg</em>
Step-by-step explanation:
2x + 3x + 4x = 180
9x = 180
x = 20
m<A = 2x = 2(20) = 40
m<B = 3x = 3(20) = 60
m<C = 4x = 4(20) = 80
m<A = 40 deg
m<B = 60 deg
m<C = 80 deg