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3 years ago

given the parallel lines cut by. a transversal , determine the value of x . please help due in 30 minutes

Mathematics

2 answers:

Mademuasel [1]3 years ago

7 0

Answer:

x = 20

Step-by-step explanation:

The angles are same side interior angles so the add to 180

3x-10 + 5x+30 = 180

Combine like terms

8x +20 =180

Subtract 20 from each side

8x+20 -20 =180-20

8x = 160

Divide by 8

8x/8 =160/8

x = 20

Tresset [83]3 years ago

3 0

Answer: x = 25

Step-by-step explanation:

When lines are parallel, the same side interior angles are supplementary, meaning they add up to 180 degrees. So to find x, you would add the two expressions and make it equal to 180 degrees.

3x - 10 + 5x + 30 = 180

8x - 20 = 180

8x = 200

x = 25

The answer is x=25

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garik1379 [7]

Answer:

a) Null hypothesis: $\mu \geq 3$

Alternative hypothesis: $\mu < 3$

This hypothesis test is a left tailed test.

b) $t=\frac{2.8-3}{\frac{2.6}{\sqrt{1310}}}=-2.784$

The p value for this case can be calculated with this probability:

$p_v =P(z$

We can conduct the test with the Ti84 using the following steps:

STAT>TESTS>T-test>Stats

We input the value $\mu_o =3, \bar X= 2.8, s_x = 2.6, n=1310$ and for the alternative we select $< \mu_o$ . Then press Calculate.

And we got the same results.

Step-by-step explanation:

Information given

$\bar X=2.8$ represent the sample mean

$s=2.6$ represent the population standard deviation

$n=1310$ sample size

$\mu_o =3$ represent the value to test

$\alpha=0.5$ represent the significance level for the hypothesis test.

t would represent the statistic

$p_v$ represent the p value for the test

Part a) System of hypothesis

We want to test if the true mean is less than 3, the system of hypothesis would be:

Null hypothesis: $\mu \geq 3$

Alternative hypothesis: $\mu < 3$

This hypothesis test is a left tailed test.

Part b

The statistic is given by:

$t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}$ (1)

Replacing the info given we got:

$t=\frac{2.8-3}{\frac{2.6}{\sqrt{1310}}}=-2.784$

The p value for this case can be calculated with this probability:

$p_v =P(z$

We can conduct the test with the Ti84 using the following steps:

STAT>TESTS>T-test>Stats

We input the value $\mu_o =3, \bar X= 2.8, s_x = 2.6, n=1310$ and for the alternative we select $< \mu_o$ . Then press Calculate.

And we got the same results.

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2 years ago

There is 30\100 of a liter of orange juice on one container and 5\10 of a liter of pineapple juice in another container. If Mrs.

Mandarinka [93]

30/100 +5/10 = 3/10 +5/10 = 8/10 = 4/5

Mrs. Morales will have 4/5 of a liter of juice.

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3 years ago

What is the valye 62 ten and how do you figure

Lilit [14]

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2 years ago

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statuscvo [17]

Never is the right answer .

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3 years ago

In angle PQR, angle P = (4x – 14)º, angle Q = (5x + 6)", and angle R= (x - 2)°. Find<br> angle R.

vekshin1

we have: ∠P + ∠Q + ∠R = 180°

<=> (4x – 14)º + (5x + 6)° + (x - 2)° = 180°

<=> 4x – 14 + 5x + 6 + x - 2 = 180°

<=> 10x - 10 = 180°

<=> 10x = 190

<=> x = 19°

So: ∠R = (x - 2)° = (19 - 2)° = 17°

ok done. Thank to me :>

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2 years ago