Answer:
A) angles 7 and 8 are vertical angles, making them equal in measure
B) The angle with the measure of (5y-29) and the angle with the measure of (3y+19) are also vertical angles. This means they are equal in measure to each other. You can solve for y by setting these two angles equal to each other.
C) (5y-29)= (3y+19). Add 29 to both sides.
5y = 3y + 48. Subtract 3y from both sides.
2y = 48. Divide both sides by 2.
Y = 24
Plug 24 in for y in the two equations.
(5y-29)
5(24)-29= 91
And
(3y+19)
3(24)+19= 91
Angle 8 and the angle with the measure of (5y-29) are a linear pair. They sum to 180. Remember (5y-29)=91, so
91+ angle 8 = 180. Subtract 91 from both sides.
Angle 8 = 89
If angle 8 is 89, then angle 7 is also 89 because they are vertical angles and equal.
Step-by-step explanation:
In the given problem there are several vital informations to take note off for completing the required answer to the question.
It has been assumed that the unknown number is = p
Now we can get to the desired equation for solving and finding the value of p.
(p + 7)/12 = 3
p + 7 = 3 * 12
p + 7 = 36
p = 36 - 7
= 29
So the value of the unknown number p is 29. I hope that the method i have used to solve this problem is clear to you and you can solve such type of problems in future without anyone's help.
Answer: 8
Step-by-step explanation: Because a is perpendicular to b, the value of 9x + 18 = 90. If we subtract 18 from both sides, it becomes 9x = 72. Divide by 9 on both sides to get 8
Slope - Intercept form formula: y = mx + b
'm' represents the slope (unit rate)
'b' represents the y - intercept
Equation: y = 7x
Slope (unit rate): 7
Y-Intercept: 0
If you used 5 gallons of gasoline, you go 5 times the number of miles, which is 7, to get a total amount of 35 miles.
Unit rate = 7
The answer is B.
Maybe put them in order so I could possibly answer
