Answer:
∠a = 39°
∠b = 129°
Step-by-step explanation:
Vertical angles are congruent. An exterior angle of a triangle is equal to the sum of the remote interior angles.
<h3>Application</h3>
Angle y and angle 'a' are vertical angles, so congruent.
∠a = ∠y = 39°
The angle marked 'b' is an exterior angle to the triangle. Its remote interior angles are 'a' and the one marked 90°.
∠b = ∠a +90° = 39° +90°
∠b = 129°
Step-by-step explanation:
<h3>Part A</h3>
<u>Angle measures:</u>
- a = x = z = 51° (as vertical angles and corresponding angles)
- b = d = y = w = 180° - 51° = 129° (as supplementary angles and corresponding angles)
<h3>Part B</h3>
Supplementary angles for a linear pair and sum to 180°.
<u>Examples are:</u>
- a and b or
- a and d or
- x and y etc.
Answer:
This one show a positive relationship between x axis and y axis, as the x goes up, the y goes up too.
Step-by-step explanation:
Answer:
The solution to the equation is
x = -4
Step-by-step explanation:
We want to find the solution to the equation
(1/4)x - 1/8 = 7/8 + (1/2)x
First, add -(1/2)x + 1/8 to both sides of the equation.
(1/4)x - 1/8 - (1/2)x + 1/8 = 7/8 + (1/2)x - (1/2)x + 1/8
[1/4 - 1/2]x = 7/8 + 1/8
x(1 - 2)/4 = (7 + 1)/8
-(1/4)x = 8/8
-(1/4)x = 1
Multiply both sides by -4
x = -4
