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anzhelika [568]
3 years ago
13

PLEASE HELP!!! PRE CAL!!!

Mathematics
1 answer:
kipiarov [429]3 years ago
8 0
Please help my latest question

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What are the measures of Angles a, b, and c? Show your work and explain your answers.
andreev551 [17]
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°.
6 0
4 years ago
Read 2 more answers
brand X pizza is having a special coupon offer. if you buy two large pizzas, you get $2.00 off the total price before tax. a lar
soldier1979 [14.2K]

Answer:

Very handy question to know the answer to. I know of no place on the planet that does not have a tax of some sort.

The tax only applies when money changes hands. It does not apply to any discounts

So if you take the deal, the cost is

Cost of 2 pizzas = normal price - the discount.

Cost of 2 pizzas = 2*10.50 - 2.00

Cost of 2 pizzas = 21 - 2

Cost of 2 pizzas = 19.00 dollars.

Not you add on the sales tax. You can do this one of two ways, the long way or the short way.

Long way

Find the sales tax

Tax = % * cost

Tax = (7.5/100) * 19

Tax = 1.425 don't round yet.

Total Cost = purchase + tax

Total Cost = 19.00 + 1.425 = 20.425 Now round. This is a real problem. It depends on what you have been told to do about rounding when 5 is the last digit. I round up. So my answer would be 20.43 <<<<< Answer.

Short Way

Cost = (Price - discount)*(1 + %/100)

Cost = (21 - 2)*(1+ 7.5/100)

Cost = 19 * (1.075)

Cost = 20.425 = 20.43

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
NEEED HELPPPP
Vitek1552 [10]
For the answer to the question above, it is -18% because to find rate we subtract the rate, in this case, is .82 or 82% - 1 or 100% and that would give you the rate, in this case, its decreasing by an 18%
I hope my answer helped you.
3 0
4 years ago
Read 2 more answers
What is the slope of the line the contains the points (-1,-1) and (3,15)?
attashe74 [19]
The answer to this question is A
7 0
3 years ago
Read 2 more answers
What is the solution to this problem w-2=-3
Vaselesa [24]
W - 2 = -3

w = -3 + 2      added 2 to both sides

w = -1

hope this helps, God bless!
8 0
3 years ago
Read 2 more answers
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