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:
They must buy 501 pounds of produce for the membership to be worth it.
Step-by-step explanation:
You can solve this question by first finding the difference between $0.10 and $0.25.
With some simple subtraction (0.25-0.10) we can find that the difference is that a non-membership person would pay $0.15 per pound.
You then divide 75 by 0.15 to find the extra weight it would take for the produce to equal $75. You should get 500 pounds.
At 500 pounds, the price would be equal if you had a membership or not.
You then must add 1 pound to make it more favorable to have the membership.
At 501 pounds the person with the membership would pay $125.10 and the person without the membership would pay $125.25
Answer:
x = 6
Step-by-step explanation:
20 = 7x + 2 - 4x
7x + 2 - 4x = 20 (switch the sides)
7x - 4x + 2 = 20 (group the like terms together)
3x + 2 = 20 (add similar numbers, in this case it's the both x's)
-2 -2 (subtract 2 on both sides)
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3x = 18
/3 /3 (divide both sides by 3)
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x = 6
Answer:
I believe it's 16. sorry if I'm wrong.
Yes they are similar and their scale factor is 1:3
7 * 3 = 21
4 * 3 = 12
18 * 3 = 54
Hope this helps :
