The two angles shown are vertical angles. They form when you cross two lines. They are opposite one another. Note: They don't have to be vertically up and down in relation to each other. It's possible to have them horizontally side by side like this.
So because they are vertical angles, they are congruent. This means they are equal in measure
x+90 = 4x
x+90-x = 4x-x
90 = 3x
3x = 90
3x/3 = 90/3
x = 30
Therefore the answer is choice C) The value of x is x = 30
We can check it by plugging this into the original equation above
x+90 = 4x
30+90 = 4*30
120 = 120
our answer checks out
Answer:
0.5
Step-by-step explanation:
a quotient of something is basically dividing 1 number by another, 0.3/0.6 = 0.5
Answer:
Step-by-step explanation:
<u>Given the following data;</u>
Initial velocity = 0 (since the stone is starting from rest).
Final velocity = 32 m/s
Acceleration = g = 10 m/s²
Time = 3.2 seconds
To show that the speed of the stone when it hits the ground is 32 m/s, we would use the first equation of motion;
Where;
- V is the final velocity.
- U is the initial velocity.
- a is the acceleration.
- t is the time measured in seconds.
Substituting into the formula, we have;
<em>Proven: 32 m/s = 32 m/s</em>
Given:
Line a and line b
To find:
Which is the correct solution set for the graph.
Solution:
Here line a is on the line b.
So that a and b have same slope and same solution set.
For any graph of the line, the solution set is the points on the line.
Therefore the solution set is the infinite set of points on the line.
The correct solution set for the graph is infinite set of points on the line.
