Answer:
4
Step-by-step explanation:
Since,
The width of the Longer gear is 7, and the smaller gear has a width of 3..
7-3 = 4
Hope it helps...
Marking me as Brainliest would help me... :(
Answers: ∠a = 30° ; ∠b = 60° ; ∠c = 105<span>°.
</span>_____________________________________________
1) The measure of Angle a is 30°. (m∠a = 30°).
Proof: All vertical angles are congruent, and we are shown in the diagram that angle A — AND the angle labeled with the measurement of 30°— are vertical angles.
2) The measure of Angle b is 60°. (m∠b = 60<span>°).
Proof: All three angles of a triangle add up to 90 degrees. In the diagram, we can examine the triangle formed by Angle A, Angle B, and a 90</span>° angle. This is a right triangle, and the angle with 90∠ degrees is indicated as such (with the "square" symbol). So we know that one angle is 90°. We also know that m∠a = 30°. If there are three angles in a triangle, and all three angles must add up to 180°, and we know the measurements of two of the three angles, we can solve for the unknown measurement of the remaining angle, which in this case is: m∠b.
90° + 30° + m∠b = 180<span>° ;
</span>180° - (<span>90° + 30°) = m∠b ;
</span>180° - (120°) = m∠b = 60<span>°
</span>___________________________
Now we need to solve for the measure of Angle c (<span>m∠c).
___________________________________________
All angles on a straight line (or straight "line segment") are called "supplementary angles" and must add up to 180</span>°. As shown, Angle c is on a "straight line". The measurement of the remaining angle represented ("supplementary angle" to Angle c is 75° (shown on diagram). As such, the measure of "Angle C" (m∠c) = m∠c = 180° - 75° = 105°.
Answer:
x = -14
Step-by-step explanation:
The expression to write in this problem is:
"the sum of x and 12 equals the sum of half of x and 5"
We have:
- The sum of x and 12 is: 
- The sum of half of x and 5 is: 
So, the equation to write in this problem is
We solve it as follows:
1) First, we subtract 
from both sides, and we get
2) Then, we subtract 12 from both sides:
3) Now we multiply both sides by 2:
So, this is the solution.
Answer:
The answer would be C,
Yes the graph passes the vertical line test
