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3 years ago

#1) What is the measure of ∠TVU, and why?

Mathematics

1 answer:

mrs_skeptik [129]3 years ago

3 0

1) Answer: A

because trangles RST is similar to VUT as:

<RST=<VUT=55 (Angle)

<RTS=<VTU=90 (it seems right angled) Angle

So by AA similarity...(two angles similarity is enough)

2) Answer:B

y+z=x because exterior angle of a triangle (which is x) must be equal to sum of non-adjacent (y and z) interior angles.

3) Answer: A should be right choice. Step 1 is wrong here which is,

m<m + m<n + m<p=180 (wrong)

It should be:

m<m + m<n + m<0=180 (right)

You might be interested in

A manufacturer of banana chips would like to know whether its bag filling machine works correctly at the 430 gram setting. It is

Volgvan

Answer:

Null Hypothesis, $H_0$ : $\mu$ $\geq$ 430 gram {means that the machine is not under filling the bags}

Alternate Hypothesis, $H_A$ : $\mu$ < 430 gram {means that the machine is under filling the bags}

Step-by-step explanation:

We are given that a manufacturer of banana chips would like to know whether its bag filling machine works correctly at the 430 gram setting.

It is believed that the machine is under filling the bags. A 21 bag sample had a mean of 429 grams with a variance of 289.

Let $\mu$ = mean weight bag filling capacity of machine.

SO, Null Hypothesis, $H_0$ : $\mu$ $\geq$ 430 gram {means that the machine is not under filling the bags}

Alternate Hypothesis, $H_A$ : $\mu$ < 430 gram {means that the machine is under filling the bags}

The test statistics that will be used here is One-sample t test statistics as we don't know about the population standard deviation;

T.S. = $\frac{\bar X -\mu}{\frac{s}{\sqrt{n} } }$ ~ $t_n_-_1$

where, $\bar X$ = sample mean = 429 grams

s = sample standard deviation = $\sqrt{289}$ = 17 grams

n = sample of bags = 21

So, test statistics = $\frac{429-430}{\frac{17}{\sqrt{21} } }$ ~ $t_2_0$

= -0.269

Now at 0.01 significance level, the t table gives critical value of -2.528 at 20 degree of freedom for left-tailed test. Since our test statistics is higher than the critical value of t as -0.269 > -2.528, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region due to which we fail to reject our null hypothesis.

Therefore, we conclude that the machine is not under filling the bags.

3 0

2 years ago

What is 3 1/2 x 4 4/8?

Alexeev081 [22]

Answer:

15.75 or 63/4

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

In the figure, ray OB bisects ∠TOY.

Levart [38]

Answer:

∠BOY = 38°

Explanation:

From the diagram, we can note that:

m∠TOY = m∠TOB + m∠BOY ...................> equation I

We are given that ray OB bisects the angle

Therefore:

m∠TOB = m∠BOY

Substitute in equation I:

m∠TOY = m∠TOB + m∠TOB = 2m∠TOB ............> equation II

We are given that:

m∠TOY = 8x-36

m∠TOB = x+24

Substitute with the givens in equation II and solve for x:

m∠TOY = 2m∠TOB

8x - 36 = 2(x + 24)

2(4x-18) = 2(x+24)

4x - 18 = x + 24

3x = 42

x = 14

This means that:

m∠TOB = x + 24 = 14 + 24 = 38°

Since

m∠TOB = m∠BOY

Therefore:

m∠BOY = 38°

Check:

m∠TOY = 8x - 36 = 8(14) - 36 = 76° which is twice m∠TOB

Hope this helps :)

8 0

3 years ago

Tossing two coins and having one land on tails and one land on heads

Alchen [17]

1/2 probability for each coin, is that want your asking for

3 0

2 years ago

Read 2 more answers

ll the members of a construction crew work at the same pace. Six of them working together are able to pour foundation in 22 hour

Cloud [144]

Answer:

44 hours

Step-by-step explanation:

Decreasing the people by a factor of 2 means we have 3 people

The job takes 6* 22 = 132 people hours

When we decrease the people, it will take more hours

132 people hours = 3 people * t hours

Divide each side by 3

132/3 = 3t/3

44 = t

It will take 44 hours

8 0

2 years ago