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2 years ago

Find the value of x. Show your work, congruent triangles

Mathematics

1 answer:

Nataly_w [17]2 years ago

5 0

Answer:

x = 12

Step-by-step explanation:

130 + y = 180 {linear pair}

y = 180 - 130

y = 50°

3x - 6 +8x + 4 + 50 = 180 {Angle sum property of triangle}

3x + 8x - 6 + 4 + 50 = 180 {Combine like terms}

11x + 48 = 180

11x = 180 - 48

11x = 132

x = 132/11

x = 12°

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Step-by-step explanation:

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1 year ago

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2 years ago

You roll two fair dice, one green and one red. (a) Are the outcomes on the dice independent? Yes No (b) Find P(1 on green die an

navik [9.2K]

Answer:

1) yes ; 2) 1/36 ; 3) 1/36 ; 4) 1/18

Step-by-step explanation:

Given the following :

Two fair dice : 1 green ; 1 red

A) Are the outcomes on the dice independent:

Yes, becomes the outcome of the green dice does not have any effect on the outcome of the red dice.

B) Find P(1 on green die and 5 on red die).

Probability = (number of required outcome) / (total possible outcomes)

Total outcomes of a dice = 6

P(1 on green) = 1 / 6

P(5 on red) = 1/6

P(1 on green die and 5 on red die) :

(1/ 6) × (1/6) = 1/36

C) Find P(5 on green die and 1 on red die)

P(5 on green) = 1/6

P(1 on red) = 1/6

Find P(5 on green die and 1 on red die):

1/6 × 1/6 = 1/36

D) Find P((1 on green die and 5 on red die) or (5 on green die and 1 on red die))

P(5 on green die and 1 on red die) = 1/36

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P((1 on green die and 5 on red die) or (5 on green die and 1 on red die)) =

P(5 on green die and 1 on red die) + P(1 on green die and 5 on red die)

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2 years ago

Suppose we want to choose colors, without replacement, from the colors red, blue, green, and purple.

DerKrebs [107]

The number of ways when the choice is not relevant is 4

<h3>How to determine the number of ways?</h3>

The number of colors are:

Colors, n = 4

The color to choose are:

r = 3

<u>Relevant choice</u>

When the choice is relevant, we have:

$Ways = ^nP_r$

This gives

$Ways = ^4P_3$

Evaluate

Ways = 24

Hence, the number of ways when the choice is relevant is 24

<u>Not relevant choice</u>

When the choice is not relevant, we have:

$Ways = ^nC_r$

This gives

$Ways = ^4C_3$

Evaluate

Ways = 4

Hence, the number of ways when the choice is not relevant is 4