Y = mx + c, where m is your gradient and c is your y intercept.
If the line is perpendicular to the line y = 3x - 5, the line's gradient = -(1/3) as when it comes to perpendicular bisector, m1/m2 = -1
y = -(1/3)x + C
To find C sub in x=2 and y=2 as it goes through (2,2)
2 = -(1/3)2 + C
2 = -(2/3) + C
2 + 2/3 = C
C = 8/3
There your equation of a line is
y = -(1/3)x + 8/3
if the figures perimeter is 18 units, and the width of the figure is 5 units. I am guessing the figure is a rectangle
where the width is 5 units, and 2 of the sides have 2 be the same 2 be a rectangle, than the width on each side is 10 units all together
18-10= 8
if the figure is a rectangle then that means there are 2 sides left of equal length so if we divide our current number (8) by 2 then we will have the length of each side (4)
8 divided by 2= 4
width= 5
length= 4
Answer:
Quinn is a contestant on a quiz show. Quinn's score changes by -15 points for 4 questions in a row. ) What is the total change in Quinn's score?
Answer:
12x - 28° = 116°
7x + 32° = 116°
Step-by-step explanation:
12x - 28° and 7x + 32° are vertical angles. Vertical angles are congruent.
Therefore, to find the measure of each angle, we have to set each equation equal to each other as follows:
12x - 28° = 7x + 32°
Collect like terms
12x - 7x = 28 + 32
5x = 60
Divide both sides by 5
5x/5 = 60/5
x = 12
✔️12x - 28°
Plug in the value of x
12(12) - 28
= 144 - 28
= 116°
✔️7x + 32°
7(12) + 32
= 84 + 32
= 116°
Answer:
30°, 45°, and 105°
Step-by-step explanation:
Find the value of x
2x + 3x+ 7x = 180
12x = 180
x = 180/12
x=15
Get the value of the angles
2x = 2(15)
3x= 3(15)
7x= 7(15)
The measure of the angles are 30°, 45°, and 105° respectively.
