Answer:
1. complementary 2. linear pair 3. vertical 4. adjacent 5. vertical 6. adjacent 7. vertical 8. complementary
Step-by-step explanation:
comp angle 2 angles add up to 90
linear pair a line with another line intersecting add up to 180
vertical 2 angles with the same lines are equal
adjacent two angles with the same vertex not overlapping
If a line is perpendicular to -2x, the slope has the opposite reciprocal. In this case, the opposite reciprocal of -2x is 1/2x. Then you plug in the coordinates in the y = mx + b format:
5 = 1/2 (-2) + b
Then you solve for b and you should get b = 6
Answer:
x= 7
Step-by-step explanation:
Answer:
x = 12
Step-by-step explanation:
Since the top line is equal to the bottom, you make the equation -
x + x + 4 = x + 16
You subtract an x on both sides because there is one on each side -
x + 4 = 16
Then you subtract the 4 from both sides to get x by its self, which makes
x = 12
Answer: 3
Step-by-step explanation:
Let the smaller number be y.
Since the difference of two numbers is 5,then the larger number will be: y+5
The sum of three times the larger number and twice the smaller number is 30. This can be written as:
3(y+5) + 2y = 30
3y + 15 + 2y = 30
5y + 15 = 30
5y = 30 - 15
5y = 15
y = 15/5
y = 3
The smaller number is 3
