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Tanya [424]
3 years ago
7

Which of the following statements is true? A. Congruent angles have the same measure. B. Congruent angles are complementary. C.

Congruent angles are supplementary. D. Vertical angles are not congruent.
Mathematics
1 answer:
sesenic [268]3 years ago
3 0

Answer:

A. Congruent angles have the same measure.

Step-by-step explanation:

In geometry, 2 objects are congruent if they have the same shape. As such, congruent angles are formed from such shapes. Irrespective of the unit of measurement (in degrees or radians), congruent angles are equal.

This is independent of the direction of the angles.

Hence the right option is

A. Congruent angles have the same measure.

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When Judy worked 4 hours and Ben worked 1 hour, their combined pay was $75. When Judy worked 2 hours and Ben worked 6 hours, the
arsen [322]

Answer:

$15

Step-by-step explanation:

let the hourly rate of pay for Ben  = B

let the hourly rate of pay for Judy  = J

Judy worked 4 hours and Ben worked 1 hour, their combined pay was $75;

              4J + B = 75 ----- i

Judy worked 2 hours and Ben worked 6 hours, their combined pay was $120

               2J + 6B  = 120 --- ii

Now, we should solve the expression;

   Multiply equation ii by 2 and equation i by 1;

 

            4J + B = 75 ----- i    x 1  ;    4J + B  = 75          -- iii

            2J + 6B  = 120 --- ii  x 2 ;   4J + 12B  = 240    ---iv

Now,

 equation iv - iii;

                   11B  = 165

                      B  = $15

So, solving for J;

          4J + B = 75

         4J + 15  = 75

          4J  = 75 - 15  = 60

          J  = $15

3 0
3 years ago
I can’t figure out the solution I think it is y < -10
Olenka [21]

Hey there!

  • <em>With negatives (-) you have to switch your symbol to the other way</em>
  • \bold{\frac{y}{-2}\leq5}
  • Firstly, substitute the \bold{y\ value  } as an invisible 1
  • So, now we have to flip the equation around
  • \bold{\frac{-1}{2}y\leq5}
  • We have to \bold{multiply} by \bold{-2} on each of your sides
  • \bold{-2\times\frac{-1}{2}\leq-2\times5}
  • \bold{Cancel \ out:2\times\frac{-1}{2}y \ because \ it \ equal \ 1}
  • \bold{Keep: -2\times5 \ because \ it \ helps \ us \ find \ our \ answer}
  • \bold{-2\times5=-10}
  • \boxed{\boxed{\bold{Answer:y\geq-10}}}\checkmark

Good luck on your assignment  and enjoy your day!

~\frak{LoveYourselfFirst:)}

<em />

4 0
3 years ago
Which of the following points lies on the graph of the function y = 3^x
marissa [1.9K]

Answer:

B

Step-by-step explanation:

In this problem we have points of the form (x^0,y^0) cama Y0 what we must do is replace it of appointing a function Y = 3^x replace x^0 with x and y^0 with 1. The point belongs to the function only if the right side of the equality is equal to the left side

6 0
3 years ago
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If y=22 when x=8,find y when x=-16
inysia [295]
Y = 44

8 x 2 = 16
22 x 2 = 44
8 0
3 years ago
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PLEASE HELP! OR ILL FAIL!
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Ok........
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