<t =33 since triangle RUT is isosceles (RU = TU)
<r + <u + <t = 180 triangle = 180
33 + <u + 33 = 180
66 + <u = 180
< u =114
<rus = < sut from the diagram
<rus + <sut = <u
x + x = 114
2x = 114
divide by 2
x = 57
Answer:
A
Step-by-step explanation:
MARK AS BRAINLIEST!!
The |*| symbols take away the negative value of a number. So |-3| is just “3”. I can explain more if needed :)
Answer: y = 4x/3 - 5/2
Step-by-step explanation:
The equation of a straight line can be represented in the slope intercept form as
y = mx + c
Where
c represents the y intercept
m = slope = (y2 - y1)/(x2 - x1)
The given line, L1 passes through A(6, - 7) and B(- 6, 2). The slope of line L1 is
m = (2 - - 7)/(- 6 - 6) = 9/ -12 = - 3/4
If two lines are perpendicular, it means that the slope of one line is the negative reciprocal of the slope of the other line.
Therefore, the slope of line L2 passing through the midpoint, M is 4/3
The formula determining the midpoint of a line is expressed as
[(x1 + x2)/2 , (y1 + y2)/2]
Midpoint, M = [(6 + -6)/2 , (- 7 + 2)/2]
= (0, - 5/2]
This means that the y intercept of line L2 is - 5/2
The equation of L2 becomes
y = 4x/3 - 5/2
The domain x ∈ {-5; 0; 5}
the relation: 2x + y + =1 → y = 1 - 2x
Put the values of x from domain to the equation of the relation:
for x = -5 → y = 1 - 2(-5) = 1 + 10 = 11for x = 0 → y = 1 - 2(0) = 1 - 0 = 1for x = 5 → y = 1 - 2(5) = 1 - 10 = -9
Answer: {-9; 1; 11}