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3 years ago

10

Find m<1 and m<2 in the diagram below.

1 answer:

cluponka [151]3 years ago

7 0

The equation to solve for angle 1 is reliant upon the fact that the measure of an exterior angle is equal to the sum of its interior angles. In our case, angle 1 = 38 + 70 which is 108. Now to find angle 2 we have to rely upon the fact that angles 1 and 2 are supplementary, or angle 2 = 180 - angle 1. We have angle 1 is 108 so angle 2 = 180 - 108 and angle 2 = 72

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What is the value of x in the equation 3x-1/9y=18, when y=27?

natulia [17]

Hi Vanessa

3x -1/9 (27) =18

3x - 27/9 =18

3x- 3 =18

Add 3 to both sides

3x-3+3=18+3

3x=21

Divide both sides by 3

3x/3= 21/3

x= 7

The value of x is 7

Now let's check if my answer is correct

To check it we gonna replace x by 7 and 27 for y

(3)(7) -1/9 (27) = 18

21 -1/9 (27)=18

21- 27/9 = 18

21- 3 = 18

18 = 18

The answer is good and I hope its help:0

5 0

3 years ago

A roulette wheel has 38 3838 slots, of which 18 1818 are red, 18 1818 are black, and 2 22 are green. In each round of the game,

Elina [12.6K]

The value of P(R = 3) is 0.2854

<h3>Probability</h3>

Probabilities are used to determine the chances of events.

The given parameters are:

$n = 38$ --- the number of slots
$red = 18$ . --- the number of red slot
$black = 18$ . --- the number of black slot
$green = 2$ . --- the number of green slot

<h3>Individual probabilities</h3>

The probability that the ball lands on a red slot is calculated as:

$p = \frac{18}{38}$

Simplify

$p= \frac{9}{19}$

The probability that the ball does not land on a red slot is calculated as:

$q = \frac{18+2}{38}$

$q = \frac{20}{38}$

Simplify

$q = \frac{10}{19}$

<h3>Binomial probability</h3>

The value of P(R = 3) is then calculated using the following binomial probability formula

$P(R = r) = ^nC_rp^rq^{n-r}$

Where:

$n = 7$

$r = 3$

So, we have:

$P(R = 3) = ^7C_3 \times (9/19)^3 \times (10/19)^{7-3}$

$P(R = 3) = 35 \times (9/19)^3 \times (10/19)^4$

$P(R = 3) = 0.2854$

Hence, the value of P(R = 3) is 0.2854

Read more about probabilities at:

brainly.com/question/15246027

8 0

2 years ago

Read 2 more answers

Which expression is equivalent to 1/4 -3/4 x?

Dmitriy789 [7]

Answer:

factor out 1/4 from the expression

1/4x(1-3x)

5 0

3 years ago

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Y=Mx+b, where m= the slope and b=the y intercept Y=2x-4,slope=2andyintercept=

Dominik [7]

Answer:

slope =2

y intercept = (0,-4)

Step-by-step explanation:

y = 2x - 4

Since this is in the form y = mx+b where m is the slope and b is the y intercept

The slope is 2 and the y intercept is -4

slope =2

y intercept = (0,-4)

7 0

2 years ago

the coordinates of a quadrilateral are (5,8), (7,10), (9,12) and (11,14). after a transformation, the sign of the x-coordinate a

adelina 88 [10]

Answer:

a reflect across x=y

Step-by-step explanation:

8 0

3 years ago

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