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hammer [34]
2 years ago
12

Someone help me with this question plzzz

Mathematics
1 answer:
asambeis [7]2 years ago
7 0

Answer:

Step-by-step explanation:

As per Janayda,

From the figure attached,

In ΔTRQ,

m∠TRQ + m∠RQT + m∠QTR = 180°

25° + m∠RQT + 35° = 180°

m∠RQT = 180° - 60°

m∠RQT = 120°

Since, m∠RQT + m∠PQT = 180° [Linear pair of angles]

m∠PQT = 180° - m∠RQT

             = 180° - 120°

             = 60°

In right angled triangle TPQ,

m∠TPQ + m∠PQT + m∠PTQ = 180°

90° + 60° + m∠PTQ = 180°

m∠PTQ = 180° - 150°

             = 30°

Similarly, other angles can also be evaluated from the given information.

In ΔQTP and ΔNTP,

TP ≅ TP [Reflexive property]

NP ≅ PQ [Given]

ΔQTP ≅ ΔNTP [By LL postulate for congruence]

Therefore, Janayda is correct.

While Sirr is incorrect.

Since, there is not the enough information to prove ΔRTQ and ΔMTN equal, Isabelle is incorrect.

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Joe works as a busboy making $7 per hour and as a theater usher making $9 per hour. Let b be the number of hours he works as a b
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Answer:

The inequality describing the situation is:

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Step-by-step explanation:

Joe works as a busboy at the rate of = $7 per hour

Let the number of hours he works as a bus boy this month be = b hours

∴ Amount Joe would make this month working as a busboy =\$7\times b=\$7b

Joe works as a theater usher at the rate of = $9 per hour

Let the number of hours he works as a theater usher this month be = u hours

∴ Amount Joe would make this month working as a theater usher =\$9\times u=\$9u

Total amount Joe would make this month =\$(7b+9u)

His goal is earn more than $1500 this month.

∴ The situation can be represented in the following inequality:

7b+9u>1500

6 0
3 years ago
29/5 divided by nine and a half
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Hope this helps! Have a great day!!!

3 0
3 years ago
To help consumers assess the risks they are taking, the Food and Drug Administration (FDA) publishes the amount of nicotine foun
QveST [7]

Answer:

We conclude that  the mean nicotine content is less than 31.7 milligrams for this brand of cigarette.

Step-by-step explanation:

We are given the following in the question:  

Population mean, μ = 31.7 milligrams

Sample mean, \bar{x} = 28.5 milligrams

Sample size, n = 9

Alpha, α = 0.05

Sample standard deviation, s =  2.8 milligrams

First, we design the null and the alternate hypothesis

H_{0}: \mu = 31.7\text{ milligrams}\\H_A: \mu < 31.7\text{ milligrams}

We use One-tailed t test to perform this hypothesis.

Formula:

t_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{s}{\sqrt{n}} }

Putting all the values, we have

t_{stat} = \displaystyle\frac{28.5 - 31.7}{\frac{2.8}{\sqrt{9}} } = -3.429

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We fail to accept the null hypothesis and accept the alternate hypothesis. We conclude that  the mean nicotine content is less than 31.7 milligrams for this brand of cigarette.

3 0
3 years ago
Which inequality represents all values of x for which the quotient below is<br> defined?
garri49 [273]

Answer:

Option B: x > 0

Step-by-step explanation:

Option A is wrong because \sqrt{3(0)}will be 0. So, the inequality can't be divided by 0.

Option C is wrong because 1 will suffice this inequality. \sqrt{7}/\sqrt{3}=1.5 (approx)

Option D is wrong because any value in the root has to be greater or equal to 0 (otherwise, it's imaginary number). -1 will give the latter root a value of root-(-3).

Leaving us with only option B, which is the right answer.

7 0
2 years ago
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