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Viktor [21]
3 years ago
7

Quadrilateral ABCD is a parallelogram such that ∠A=2x and ∠B=x+6. What is the measure of ∠B?

Mathematics
1 answer:
Gala2k [10]3 years ago
8 0

Problem 1

Angles A and B are adjacent in parallelogram ABCD. For any parallelogram, adjacent angles are supplementary.

A+B = 180

2x+(x+6) = 180

3x+6 = 180

3x = 180-6

3x = 174

x = 174/3

x = 58

Use this x value to find angles A and B

angle A = 2x = 2*58 = 116 degrees

angle B =  x+6 = 58+6 = 64 degrees

Answer:  64 degrees

================================================

Problem 2

Let y be the measure of the unknown angle that's supplementary to the 42 degree angle. This must mean that,

y+42 = 180

y = 180-42

y = 138 degrees

Answer: D) 138 degrees

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Compound Probability: You choose a tile at random from a bag containing 2 tiles with X, 6 tiles with Y, and 4 tiles with Z. You
Nastasia [14]
First, we must count the amount of tiles.

Amount = 2 + 6 + 4

A = 12 tiles

Then let's to the Example 18:

P(X then Y) = P(x) × P(y)

We have 2 lites x

P( x then y) = 2 / 12 × P(y)

We have 6 lites y

And as one lites X was choosed:

P(y) = 4 / 11

P(x then y) = (2/12) × ( 4 /11)

= 6.06%
____________________

Example 19:

P(both y) = P(y)' × P(y)

We have 4 lites y

P(y)' = 4/12

Now us have 3 lites y

P(y) = 3 / 11

P(both y) = (4/12)×(3/11)

= 9.09%
_________________

Example 20:

P(y then x) = P(y) × P(x)

We have 4 lites y

P(y) = 4 /12

Now us have 11 lites on the bag

P(x) = 2 / 11

P(y then x) = (4/12)×(2/11)

= 6.06%
___________________

Example 21:

P(z then x) = P(z) × P(x)

We have 6 lites z

P(z) = 6 / 12

Now us have 11 on the bag

P(x) = 2/11

P(z then x ) = (6/12)×(2/11)

= 9.09%
___________________


Example 22:

P(both z) = P(z)'×P(z)

P(z)' = 6/12

Now us have 5 lites Z

P(z) = 5/11

P(both z) = (6/12)×(5/11)

= 22.72%
________________

Last example:

P(y then z) = P(y)×P(z)

We have 4 lites y

P(y) = 4/12

Now us have 11 lites on the bag

P(z) = 6/11

P(y then z) = (4/12)×(6/11)

= 18,18%


This would be your answers.

Hope this helps
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<span> sqrt (2160x8)(60x2) =
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</span>

<span> 12 x4 • sqrt(15) </span>
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