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ozzi
3 years ago
15

AB is parallel to CD.

Mathematics
1 answer:
kogti [31]3 years ago
6 0

Answer:

Step-by-step explanation:

∠ABC = ∠BCD    { AB // CD; BC TRAVERSAL, alternate angles are equal}

∠ABC = 20

∠BCA = ∠BAC     {angles opposite to equal sides are equal}

∠BCA = ∠BAC = x

x + x + 20 = 180

2x = 180 - 20

2x = 160

x = 160/2

x = 80

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Answer:

m = 7/2

Step-by-step explanation:

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6 0
3 years ago
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6. Find average of the following<br> expressions (4-2x), (-7-3x), and<br> (11x+6)
svetoff [14.1K]

Answer:

2x+1

Step-by-step explanation:

(4-2x), (-7-3x),(11x+6)

Add the three expressions

(4-2x)+ (-7-3x)+(11x+6)

Combine like terms

-2x-3x+11x+4-7+6

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7 0
3 years ago
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Complete each question by choosing or typing in the best answer. To receive the highest score, be sure to leave nothing blank. W
Stells [14]

Answer:

The correct option is C) 36

Step-by-step explanation:

Consider the provided table:

x - y

1 - 1

2 - 4

3 - 9

4 - 16

Observe the pattern:

If we square the x value we can find the corresponding y value.

For example

2² = 4

Where 2 is x value and 4 is corresponding y value, similarly

3² = 9

4² = 16

Now we need to find the y value when x=6.

To find this simply square the x value that will gives us the corresponding y value.

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Hence, the correct option is C) 36

5 0
3 years ago
Find the domain of the function. (Enter your answer using interval notation.)
Rudik [331]
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7 0
4 years ago
A prism is created using 2 regular pentagons as bases. The apothem of each pentagon is 2.8 centimeters. Which expression represe
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The expression representing the volume of the prism is given as:
Volume=[base area]*[height]
base area is the area of the pentagon;
The area of pentagon is given by:
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a=apothem length
n=number of sides
Area=2.8^2*5tan(180/5)
Area=28.48=28.5 cm^2
Therefore the expression for the volume of the prism with height,h, will be:
volume=28.5h cm^3
6 0
3 years ago
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