Answer:
WHere are the graphs
Step-by-step explanation:
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Answer:
Below
Step-by-step explanation:
● 3 ( -x +2x - 1) = x - 1
● 3 ( -x -1 ) = x - 1
● -3x -3 = x - 1
Add -x to both sides
● -3x -3 - x = x -1 -x
● -4x -3 = -1
Add 3 to both sides
● -4x - 3 + 3 = -1 + 3
● -4x = 2
Divide both sides by -4
● -4x/-4 = 2/-4
● x = -1/2
Answer:
Step-by-step explanation:
- The two given angles are complementary, it means they add to 90°
<u>Find x:</u>
- 2x + 10 + x + 8 = 90
- 3x + 18 = 90
- 3x = 72
- x = 24
<u>Find Y:</u>
- m∠Y = x + 8 = 24 + 8 = 32°
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).
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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°.