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Gnesinka [82]
2 years ago
9

AD= DC= Angle a= Angle b= Angle c=

Mathematics
1 answer:
Nadya [2.5K]2 years ago
4 0

9514 1404 393

Answer:

  AD= 8

  DC= 15

  Angle a= 112°

  Angle b= 68°

  Angle c= 112°

Step-by-step explanation:

We have to assume the figure is a parallelogram.

Opposite sides of a parallelogram are congruent, so ...

  BC = AD = 8

  AB = DC = 15

Opposite angles are congruent, and adjacent angles are supplementary.

  180° - ∠D = Angle a = Angle c = 112°

  ∠D = Angle b = 68°

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12345 [234]

Answer:

see explanation

Step-by-step explanation:

In a parallelogram

• opposite sides are congruent

• the diagonals bisect each other

Then

UT = 27 ( congruent to  RS )

ST = 18 ( congruent to RU )

VS = 7 ( congruent to UV )

VT = 15 ( half of RT )

3 0
3 years ago
A group of five people are all working on the same mathematics problem. On the night before it is due, they call each other to d
UkoKoshka [18]

Answer:

Minimum number of calls = 10

Step-by-step explanation:

Lets name the five people as A,B,C,D and E.

<u>On the night before ,each person talks to every other person atleast once that means A would talk to B,C,D and E atleast once.</u>

Lets start with A. He would talk to other 4 people which means there would be 4 phone calls made.

Now lets take B. He can talk to A,C,D and E. But  A has already talked to C therefore to get minimum number of phone calls , B need not call A again. So he calls only C,D and E.

In case of C using similar logic he need to talk to only D and E.

For D , he talks to E alone.

E does not have to talk to anyone as he has already talked to everyone atleast once.

Total calls = 4 + 3 + 2 + 1

                    = 10

5 0
3 years ago
Find the volume of each figure. Round your answers to the nearest tenth, if necessary​
olga nikolaevna [1]

Answer:

1.92 m³

hopefully this answer can help you to answer the next question.

5 0
2 years ago
Does anyone know the answer to this??
Kipish [7]

Answer:

very good

Step-by-step explanation:

very good

8 0
3 years ago
Confirm that f and g are inverses by showing that f(g(x)) = x and g(f(x)) = x.
maks197457 [2]
F(g(x)) = [(-7x-8)/(x-1) - 8} / [(-7x - 8)/(x-1) + 7] =

[(-7x - 8 - 8(x-1)) / (x-1)] / [(-7x - 8 + 7(x-1)) / (x-1)] = (-15x) / (-15) = x.

g(f(x)) = [-7*(x-8)/(x+7) - 8] / [(x-8)/(x+7) - 1] =

[(-7x + 56 -8*(x+7)) / (x+7)] / [(x - 8 - (x + 7)) / (x+7)] = (-15x) / (-15) = x.

So since f(g(x)) = g(f(x)) = x we can conclude that f and g are inverses.
5 0
2 years ago
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