Answers: ∠a = 30° ; ∠b = 60° ; ∠c = 105<span>°.
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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>°
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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°.
Answer:
13 is the answer.
Step-by-step explanation:
Answer:
28 tickets
Step-by-step explanation:
252/9=28
Answer:
D. sin J = Cos L
Step-by-step explanation:
LK = √219² - 178² = 127.58
sin J = <u>LK/LJ</u> =127.58/219 = 0.58
Cos L = <u>Lk/LJ</u> = 0.58
sin L = 178/219 = 0.81
Cos J = 178/219 = 0.81
Tan J = 127.58/178 = 0.72
tan L = 178/127.58 = 1.40
Answer:
see explanation
Step-by-step explanation:
(1)
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( cross- multiply )
6p = 8 ( divide both sides by 6 )
p = 
= 
(2)
= 
( cross- multiply )
7n = 32 ( divide both sides by 7 )
n = 
(3)
= 
( cross- multiply )
3x = 20 ( divide both sides by 3 )
x = 
