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katovenus [111]
2 years ago
5

○a 25°○b 31°○c 23°○d 59°​

Mathematics
2 answers:
Kamila [148]2 years ago
7 0

Answer:

b

Step-by-step explanation:

∠ BDC + ∠ ADC = ∠ ADB , substitute values

- 6x + 53 - 9x + 22 = 90

- 15x + 75 = 90 ( subtract 75 from both sides )

- 15x = 15 ( divide both sides by - 15 )

x = - 1

Then

∠ ADC = - 9x + 22 = - 9(- 1) + 22 = 9 + 22 = 31° → b

Vaselesa [24]2 years ago
5 0

Answer:

i think it would be B

Step-by-step explanation:

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Sally makes $9.15 per hour. If she works 3.5 hours, how much money will she make?
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$12.65

Step-by-step explanation:

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5 0
2 years ago
If we wanted to prove quadrilateral MNOP was a parallelogram, which method below would not work?
rjkz [21]

Answer:

The correct option is 4.

4) Doing two distance formulas to show that adjacent sides are not the same length.

Step-by-step explanation:

Parallelogram is a quadrilateral which has opposite sides equals and parallel. Example of a parallelogram are rhombus, rectangle, square etc.

We can prove that a quadrilateral MNOP is a parallelogram. If we find the slopes of all four sides and compare those of the opposite ends, same slopes would indicate the opposite sides are parallel, hence the quarilateral is a parallelogram. We can also find the distance of two opposing sides, and slopes of twp opposing sides to determine whether it is a parallelogram or not. The most difficult approach is that diagonals bisect each other at same point.

However, using only two distance formulas will not give us enough information to determine whether a side is parallel or not.

7 0
3 years ago
Which expression is equivalent to (4g3h2k4)3
RSB [31]

Answer:

d) 8g^{6}h^{4}  k^{12}  - (h^{25} k^{15} )

      \frac{(4g^{3} h^{2}k^{4} )^{3}  }{8g^{3}h^{2}  } - (h^{5} k^{3} )^{5}    = 8g^{6}h^{4}  k^{12}  - (h^{25} k^{15} )

Step-by-step explanation:

<u><em>Explanation</em></u>

Given expression

           =     \frac{(4g^{3} h^{2}k^{4} )^{3}  }{8g^{3}h^{2}  } - (h^{5} k^{3} )^{5}

By using

        (ab)ⁿ = aⁿbⁿ

         \frac{a^{m} }{a^{n} } = a^{m-n}

   =     \frac{(4)^{3} g^{9} h^{6}k^{12} )  }{8g^{3}h^{2}  } - (h^{5} k^{3} )^{5}

After simplification , we get

  = 8g^{9}g^{-3} h^{6} h^{-2} k^{12}  - (h^{5} k^{3} )^{5}

 = 8g^{9-3}h^{6-2}  k^{12}  - (h^{5} k^{3} )^{5}

= 8g^{6}h^{4}  k^{12}  - (h^{25} k^{15} )

3 0
2 years ago
For the given expression identify the terms like terms coefficient and constant terms then simplify the expression -8c+-c+1
boyakko [2]

Answer:

The simplified expression is : -9c +1

Step-by-step explanation:

The like terms are -8c and -c

The constant term is 1

The simplified expression is :

-8c + -c + 1 = -9c +1

6 0
3 years ago
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