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Genrish500 [490]
3 years ago
5

Angle PSR measures 99°. Point S has three lines extending from it. One line extends to point P, another to point Q, and the othe

r to point R. Angle P S Q is (3 x + 18) degrees. Angle Q S R is (9 x minus 27) degrees. What is the measure of AnglePSQ in degrees? 9° 24° 45° 54°
Mathematics
2 answers:
liberstina [14]3 years ago
4 0

Answer:

45 degree

Step-by-step explanation:

We are given that

Angle PSR=99 degrees

Angle PSQ=(3x+18) degrees

Angle QSR=(9x-27)degrees

According to question

Angle PSR=Angle PSQ+angle QSR

Substitute the values

99=3x+18+9x-27

12x-9=99

12x=99+9=108

x=\frac{108}{12}=9

Substitute the value of x

Angle PSQ=(3(9)+18)=45^{\circ}

Hence, the measure of angle PSQ=45 degree

Keith_Richards [23]3 years ago
3 0

Answer:

C)45 degrees on the test in edge

Step-by-step explanation:

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The following items appear on the balance sheet of a company with a
Setler [38]

Answer: 1. C,  2. C

Step-by-step explanation:

Salaries payable is C (a Current Liability) This is so because the company owes salaries to its workers which were left unpaid as at the end of the year. This amount is reported on the balance sheet as one of the company's current liabilities.

2. Current portion of a long term debt is C(a current liability) This is so because the amount of the loan principal that will be due within one year of the date of the balance sheet is yet to be paid. This amount is reported on the balance sheet as one of the company's current liabilities.

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3 years ago
Alan estimated that he would score 140 points the next time he bowled. He actually scored 152 points.
Nadya [2.5K]
The anwer is b because you can multiply or subraction from it 
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3 years ago
A ______ is a testable claim or statement, that is yet to be tested, concerning the relationship among variables that can be obs
Arisa [49]

Answer:

Hypothesis                                              

Step-by-step explanation:

Hypothesis:

  • It is an assumption or explanation that need to be tested.
  • It determines the claim in the testing.
  • There are two types of hypothesis: Null hypothesis and alternate hypothesis.
  • Null hypothesis says that the sample is taken from the population.
  • Alternate hypothesis states that the sample does not belong to the defined population.

A hypothesis is a testable claim or statement, that is yet to be tested, concerning the relationship among variables that can be observed.

6 0
4 years ago
A company is selecting 6 people to be on a committee. There are 29 employees eligible to be on the committee. What is the total
postnew [5]

Answer: 342014400

Step-by-step explanation:

Given : A company is selecting 6 people to be on a committee.

Total employees eligible to be on the committee=29

Since each employee will have a different position on the committee, thus order matters here , so we use Permutations.

Number of permutation of n thing taking m things at a time is given by :-

^nP_m=\dfrac{n!}{(n-m)!}

Then, the number of permutation of 29 employees taking 6 at a time will be :-

^{29}P_6=\dfrac{29!}{(29-6)!}\\\\=\dfrac{29\times28\times27\times26\times25\times24\times23!}{23!}\\\\=342014400

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3 0
3 years ago
URGRENNTTT PLSS HELPP 50 POINTSS!!!!! Students were asked to simplify the expression cotangent theta plus tangent theta over cot
Naddika [18.5K]

The student that simplified the expression incorrectly is student 2

<h3>How to determine the incorrect result?</h3>

The steps are given as:

\frac{\cot(\theta) + \tan(\theta)}{\cot(\theta)}

Student 1:

  • Step 1: \frac{\cot(\theta)}{\cot(\theta)} + \frac{\tan(\theta)}{\cot(\theta)}
  • Step 2: 1 + \frac{\tan(\theta)}{\cot(\theta)}
  • Step 3: 1 + tan²(Ф)
  • Step 4: sec²(Ф)

Student 2:

  • Step 1: \frac{\cot(\theta)}{\cot(\theta)} + \frac{\tan(\theta)}{\cot(\theta)}
  • Step 2: \frac{1 +  \tan^2(\theta)}{\cot(\theta)/\tan(\theta)}
  • Step 3: sec²(Ф)/tan²(Ф)
  • Step 4: csc²(Ф)

As a general trigonometry rule;

\frac{\cot(\theta) + \tan(\theta)}{\cot(\theta)} = \sec^2(\theta)

This means that student 1 is correct, while student 2 is not

The first error in student 2's workings is in step 2, where we have:

\frac{\cot(\theta)}{\cot(\theta)} + \frac{\tan(\theta)}{\cot(\theta)} = \frac{1 +  \tan^2(\theta)}{\cot(\theta)/\tan(\theta)}

The above expression is not justified and cannot be proved by any trigonometry rule

Since the step 2 is incorrect, the other steps cannot be used.

Hence, the student that simplified the expression incorrectly is student 2

Read more about trigonometric expressions at:

brainly.com/question/8120556

#SPJ1

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