First, we know this diagram consists of two horizontal lines cut by a transversal line. Therefore, we know that the given angle that measures 113° and the angle we want to find are alternate interior angles. Since all alternate interior angles are equal, we know the unknown angle must also be 113°.
I hope this helps.
Answer:
24
Step-by-step explanation:
8 times 3= 24
12 times 2= 24
Answer:
(x-9)^2 +(y-12)^2 = 225
Step-by-step explanation:
First find the length of the radius
If is the distance from the center to the point
d = sqrt( (x2-x1)^2 + (y2-y1)^2 )
= sqrt( (0-9)^2 + (0-12)^2)
= sqrt ( 81+144)
= sqrt(225)
= 15
The equation for a circle is
( x-h) ^2+ (y-k)^2 = r^2
(x-9)^2 +(y-12)^2 = 15^2
(x-9)^2 +(y-12)^2 = 225
A=-1, b=2 I hope this helped. Please please please if you like my answer mark Brainly:)
The required equation of the new line will be y = 3x + 4
<h3>Equation of a line</h3>
Given the equation of a line expressed as 4y-12x=8
Get the x and y-intercept of the line
If x = 0
4y = 8
y = 2
The first coordinate will be at (0, 2)
If y = 0
-12x = 8
x = -2/3
The second coordinate will be (-2/3, 0)
Dilating the coordinate by 2 will give (0, 4) and (-4/3, 0)
The slope of the new line will be expressed as:
m = -4 * 3/-4
m = 3
The y -intercept of the new line will be 4.
The required equation of the new line will be y = 3x + 4
LEarn more on equation of a line here; brainly.com/question/13763238
