Answer:
P = 32
x = 35
Step-by-step explanation:
For the first diagram,
The two angles given are corresponding angles. Corresponding angles are equal;
So;
the first angle is a right angle triangle;
90 = 3P - 6
3P = 90 + 6
3P = 96
P = 32
For the second diagram;
The sum of those two angles is 180°
(x + 75) + 2x = 180
x + 2x + 75 = 180
3x + 75 = 180
3x = 180 - 75
3x = 105
x = 35
Answer:
I could do 1 and 3
1) 2x-3y=-2 ....1
-
2x+y=14......2
=-4y=-16
y=4
<u>Substitute</u><u> </u><u>(</u><u>y</u><u>=</u><u>4</u><u>)</u><u> </u><u>into</u><u> </u><u>equation</u><u> </u><u>1</u>
2x-3 (4)=-2
2x-12=-2
2x=-2+12
2x=10
×=5
3) 5x+5y=20....1
-
-3x+5y=4......2
=8x=16
x=2
<u>S</u><u>ubstitute</u><u> </u><u>(</u><u>x</u><u>=</u><u>2</u><u>)</u><u> </u><u>into</u><u> </u><u>equation</u><u> </u><u>1</u>
<u>5</u><u> </u><u>(</u><u>2</u><u>)</u><u>+</u><u>5y</u><u>=</u><u>20</u>
<u>10</u><u>+</u><u>5y</u><u>=</u><u>20</u>
<u>5y</u><u>=</u><u>20-10</u>
<u>5y</u><u>=</u><u>10</u>
<u>y</u><u>=</u><u>2</u>
Answer: 7 x 2 x 2 x 2
Step-by-step explanation:
So 7x8 = 56; 7 is prime, but 8 can be factored further; 8 = 4x2, but the 4 can be factored; 2x2
So now you have the prime factorization of 56= 7 x 2 x 2 x 2
I believe the answer $7.42. You have to divide 18.02 by 8.5 to get the cost per gallon. Then multiply the cost per gallon by 3.5 to get your answer
Add 2 to both sides
g + 2 = -2x
Divide both sides by -2
-g + 2/2 = x
Simplify g + 2/2 to 1 + g/2
-(1 + g/2) = x
Simplify brackets
-1 - g/2 = x
Switch sides
<u>x = -1 - g/2</u>
