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2 years ago

Find the measures of x and y

Mathematics

2 answers:

Blizzard [7]2 years ago

3 0

Answer:

x = 159; y = 140

Step-by-step explanation:

a = 40

a + y = 180

y = 180 - 40

y = 140

b = 61

b = (180 - x) + a

61 = 180 - x + 40

x = 159

ANEK [815]2 years ago

3 0

Answer:

m∠x = 159°

m∠y = 140°

Step-by-step explanation:

<h2>PART I: Find the measure of y</h2>

Given information

∠a = 40°

Given formula

∠a + ∠y = 180° (Supplementary angles)

Substitute values into the formula

40 + ∠y = 180

∠y = 180 - 40

$\Large\boxed{\angle y=140^\circ}$

<h2>PART II: Find the measure of x</h2>

Given information

∠b = 61°

∠c = Supplementary angle of ∠b

Given formula

∠b + ∠c = 180°

Substitute values into the formula

61 + ∠c = 180

∠c = 180 - 61

∠c = 119°

Determine the value of ∠x

∠x = ∠a + ∠c (Exterior angle theorem)

∠x = (40) + (119)

$\Large\boxed{\angle x=159^\circ}$

Hope this helps!! :)

Please let me know if you have any questions

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3x + 2y = 14. X + y = 5. Work put the values of x and y

andrey2020 [161]

Answer:

x = 4 , y = 1

Step-by-step explanation:

3x + 2y = 14 → (1)

x + y = 5 → (2)

Multiplying (2) by - 2 and adding to (1) will eliminate the y- term

- 2x - 2y = - 10 → (3)

Add (1) and (3) term by term to eliminate y

x = 4

Substitute x = 4 into (2) and evaluate for y

4 + y = 5 ( subtract 4 from both sides )

y = 1

7 0

2 years ago

A Write an equivalent equation that does NOT contain decimals.

vampirchik [111]

0.5x - 0.1 = -2.9

When you multiply each side of an equation by the same number,
you don't change the equation or its solution. If you want to get rid
of the decimals, you could multiply each side by 10. Then the
equation is

 5x - 1 = -29

You should be able to solve that without help.
But I'm about to take your points, so here's
how to solve that equation:

 5x - 1 = -29

Add 1 to each side: 5x = -28

Divide each side by 5 : x = -28 / 5

Simplify the solution: x = -5 and 4/5 .

Again ... this is the same solution as the original equation
if we hadn't gotten rid of the decimals.

5 0

3 years ago

2 plez!!!?!?!?!?!?!?!?!??!!??!?!?!!??!?!?! I can’t figure it out I’ve tried everything it’s due tomorrow AHAHAHAH

harkovskaia [24]

So to do this one, you have to do the problem backwards!

The equation looks like this with everything plugged in:

272.2 = 2(3.14)r

You are looking for r, so start dividing

272.2 = 2(3.14)r
136.1 = (3.14)r
43.3 = r

Therefore the radius is about 43.3 in.

I hope I helped!

5 0

3 years ago

A half-century ago, the mean height of women in a particular country in their 20s was 64.7 inches. Assume that the heights of

Ainat [17]

Answer:

99.5% of all samples of 21 of today's women in their 20's have mean heights of at least 65.86 inches.

Step-by-step explanation:

We are given that a half-century ago, the mean height of women in a particular country in their 20's was 64.7 inches. Assume that the heights of today's women in their 20's are approximately normally distributed with a standard deviation of 2.07 inches.

Also, a samples of 21 of today's women in their 20's have been taken.

Let $\bar X$ = sample mean heights

The z-score probability distribution for sample mean is given by;

Z = $\frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n} } }$ ~ N(0,1)

where, $\mu$ = population mean height of women = 64.7 inches

$\sigma$ = standard deviation = 2.07 inches

The Z-score measures how many standard deviations the measure is away from the mean. After finding the Z-score, we look at the z-score table and find the p-value (area) associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X.

Now, Probability that the sample of 21 of today's women in their 20's have mean heights of at least 65.86 inches is given by = P( $\bar X$ $\geq$ 65.86 inches)

P( $\bar X$ $\geq$ 65.86 inches) = P( $\frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n} } }$ $\geq$ $\frac{65.86-64.7}{\frac{2.07}{\sqrt{21} } }$ ) = P(Z $\geq$ -2.57) = P(Z $\leq$ 2.57)