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STatiana [176]
3 years ago
15

I really need help with this problem

Mathematics
1 answer:
Jobisdone [24]3 years ago
7 0

Answer:

<em>S = 151°</em>

Step-by-step explanation:

Recall that the sum of the measures of the interior angles of a polygon with n sides is (n – 2)180.  

Here we have a polygon with 5 sides (n=5), so the sum of its interior angles must be

(5-2)*180 = 540°  

So  

P+Q+R+S+T = 540°  

(10x-3)+(5x+2)+(7x-11)+(13x-31)+(8x-19) = 540°

43x - 62 = 540  

43x = 540 + 62

43x = 602

x = 602/43

x = 14°  

The angle S equals 13x - 31 = 13*14 - 31 = 151°  

S = 151°

You can compute all the other angles as well.

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the cost of living last year went up 11% fortunately Alice Swanson got an 11% raise in her salary from last year this year she i
Mekhanik [1.2K]

Answer:

Her last year salary was $50045.05.

Step-by-step explanation:

Consider the provided information.

Alice Swanson got a 11% raise in her salary this year compared to her salary last year.

This year she is earning $55,550.

Let her last year salary be x.

She get 11% raise and now her salary is $55,550.

This can be written as:

55,550=x+\frac{11}{100} x

55,550=x+0.11x

55,550=1.11x

x\approx 50045.05

Hence, Her last year salary was $50045.05.

3 0
3 years ago
In the diagram, the measure of angle 3 is 89°, and the measure of angle 6 is 88°.
musickatia [10]

Answer:

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Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
The GCF of 12 and 30 is ___
MissTica

Answer:

it is 6

Step-by-step explanation:

That’s what they both can be multiplied by

3 0
3 years ago
A company wants to estimate the mean net weight of all 32-ounce packages of its yummy taste cookies at 95% confidence. it is kno
Georgia [21]
Standard deviation= σ= 0.1 
Confidence interval= 95%= 0.95
Significance level=α= 1-0.95= 0.05
 α/2 = 0.025
At  α/2  z( α/2 ) =1.960   [from statistic table]
Now,
the sample size at error of 0.02 is
0.02=z( α/2 )σ/√n
0.02=(1.960)*(0.1)/√n
5/49 = 1/√n
√n=49/5
n=96.04
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4 0
3 years ago
2tan(45-A)/1+tan^2(45-A)=cos2a
AVprozaik [17]

Answer:

Let θ = (45 - A)°.

=> 2Tanθ/ 1 + Tan²θ

=> 2Sinθ/Cosθ / 1 + Sin²θ / Cos²θ

=> 2Sinθ/Cosθ/ Cos²θ + Cos²θ / Cos²θ

=> 2Sinθ/Cosθ/ 1 / Cos²θ

=> 2SinθCos²θ/Cosθ

=> 2SinθCosθ  

=> Sin2θ

But we assumed θ = (45 - A)°,

=> Sin2(45 - A)

=> Sin(90  - 2A)  (∵ Sin(90 - θ) = Cosθ)

=> Cos2A

= R.H.S

Hence proved.

Step-by-step explanation:

3 0
3 years ago
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