Answer:
z=98 degrees
x=64 degrees
y=18 degrees
Step-by-step explanation:
y is congruent to 18 since theyre opposite of eachother, same with x and 64. find z by using the straight 180 line. (180=64+18+z, so z=98)
Answer:
He owes $175
Step-by-step explanation:
He paid a 30% deposit of 75 dollars. Let the total cost be x
30% of x is 75 dollars. In equation form
.30x = 75
Divide each side by .30
.30x/.30 = 75/.30
x =250
The total cost is 250
Since he already paid 75
The amount he still has to pay is
250-75 = 175
ANSWER
D. 105°
EXPLANATION
Both angles YOZ and WOX are central angles that intersect two congruent arcs. Therefore, both angles have the same measure, 105°.
Answer:
The pattern rule is that we add by increasing odd integers.
Step-by-step explanation:
The first two numbers have a difference of 5. The next two have a difference of 7. The next two after that have a difference of 9.
5, 7 and 9 are increasing odd integers.
So, we know the next number would be 11 higher than the last.
1. 4x + 2y = 11
x - 2 = -2y
First I would isolate one of the variables (x or y) of one of the equations, and then substitute it into the other equation.
The easiest to isolate is the "x" in the second equation
x - 2 = -2y Add 2 on both sides
x = -2y + 2
Substitute this into the first equation
4x + 2y = 11
4(-2y + 2) + 2y = 11 Multiply 4 into (-2y + 2)
-8y + 8 + 2y = 11 Combine like terms
-6y + 8 = 11 Subtract 8 on both sides
-6y = 3 Divide -6 on both sides
y = -3/6 Simplify
y = -1/2
Now that you know "y", you can plug it into either of the original equations to find "x"
x - 2 = -2y
x - 2 = -2(-1/2)
x - 2 = 1 Add 2 on both sides
x = 3
Answer is A
2. y = 3x + 5
4x - y = 5
Substitute the first equation into the second equation
4x - y = 5
4x - (3x + 5) = 5 Multiply/distribute the - into (3x + 5)
4x - 3x - 5 = 5 Combine like terms
x - 5 = 5 Add 5 on both sides
x = 10
Plug in "x" into either of the original equations to find "y"
y = 3x + 5
y = 3(10) + 5
y = 30 + 5
y = 35
Answer is A
