Answer:
57°
Step-by-step explanation:
ALL angles in a triangle add up to 180°
SO, if we know the sum of two angles which is 123° (why: 33+90=123), all we have to do is subtract this number from 180 to get the measure of the 3rd angle. Which in this case is 57°
Answer:
1. 4
2. y = 4x
Step-by-step explanation:
1.
Divide any y value by its corresponding x value to find the constant of proportionality.
8/2 = 4
Constant of proportionality: 4
2.
Equation of proportional relation:
y = kx, where k is the constant of proportionality.
y = 4x
Answer:
The equation of the line with a y-intercept of 4 and a point (8,8) is 
Step-by-step explanation:
A linear equation can be expressed in the form
y = m * x + b
where x and y are coordinates of a point, m is the slope and b is the y-intercept. Since this equation describes a line in terms of its slope and its y-intercept, this equation is said to be in its slope-intercept form.
Graphically this equation represents a line.
In this case, you know:
- The point (x,y)=(8,8)
- Y-intercept= 4
Replacing:
8=m*8 +4
Solving:
8-4=m*8
4=m*8
4÷8= m

Then, <u><em>the equation of the line with a y-intercept of 4 and a point (8,8) is </em></u>
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Answer:
x = -1, y = 1
Step-by-step explanation:
x + 2y = 1
Subtract 2y from both sides
x + 2y - 2y = 1 - 2y (simplify) -> x= 1 - 2y
----
-x + y = 2
Subtract y from both sides
-x + y - y + 2 - y (simplify) -> -x = 2 - y
Divide both sides by -1
=
-
(simplify) -> x = -2 + y