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3 years ago

If the angle of R and the angle of S are vertical angles and the measure of Angle R = 39 degrees, what is the measure of angle S

Mathematics

1 answer:

Marat540 [252]3 years ago

3 0

Answer:

Step-by-step explanation:

Verticle angles are formed when two lines intersect each other, the angles opposite each other are called verticle angles. Verticle angles are congruent, meaning their angle measures are the same. One can apply this knowledge here by stating the following,

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Kat owns 15% more figurines than she did last year. She purchased F figurines this year. Which of the following expressions coul

Stella [2.4K]

Answer: F / 0.15 = 100F / 15 = 20F / 3 ≈ 6.67F.

Explanation:

1) The three expresssions, F / 0.15; 15 F / 100; 3F / 20; are equivalent.

2) The number of figurines Kat owned last year may be expressed in terms of the number the of figurines purchased, F, this year, and the 15%, following this procedure:

Call n the amount of figurines owned last year.

F is the number of figurines purchased: F = 15%n = 0,15n

Hence, you just need to clear F from the expression F = 0.15n

Divide both sides by 0.15:

F / 0.15 = n or n = F / 0.15 (reflexive property)

To prove the equialavence of the other expresssions you just have to use the properties of multiplication or division:

(F / 0.15) × (100 / 100) = 100F / 15

100F / 15 = (100/5)F / (15/5) = 20F / 3 ≈ 6.67F

4 0

3 years ago

Read 2 more answers

Please help with number 8 just real answers please

Semenov [28]

B because it makes the most sense to me

7 0

3 years ago

Arithmetic Sequences:

lisov135 [29]

Início = 6 h
9 x 6 = 54
6:54 passou o nono ônibus
próximo ônibus = 6:54 + 9 = 7:03
próximo = 7:03 + 9 = 7:12
próximo = 7:12 + 9 = 7:21
você chegou às 7:16 e vai esperar 21-16 = 5 minutos

3 0

3 years ago

A quality analyst of a tennis racquet manufacturing plant investigates if the length of a junior's tennis racquet conforms to th

Burka [1]

Answer:

Confidence interval : $21.506$ to $24.493$

Step-by-step explanation:

A quality analyst selects twenty racquets and obtains the following lengths:

21, 25, 23, 22, 24, 21, 25, 21, 23, 26, 21, 24, 22, 24, 23, 21, 21, 26, 23, 24

So, sample size = n =20

Now we are supposed to find Construct a 99.9% confidence interval for the mean length of all the junior's tennis racquets manufactured at this plant.

Since n < 30

So we will use t-distribution

Confidence level = 99.9%

Significance level = α = 0.001

Now calculate the sample mean

X=21, 25, 23, 22, 24, 21, 25, 21, 23, 26, 21, 24, 22, 24, 23, 21, 21, 26, 23, 24

Sample mean = $\bar{x}=\frac{\sum x}{n}$

Sample mean = $\bar{x}=\frac{21+25+23+22+24+21+25+21+23+ 26+ 21+24+22+ 24+23+21+ 21+ 26+23+ 24}{20}$

Sample mean = $\bar{x}=23$

Sample standard deviation = $\sqrt{\frac{\sum(x-\bar{x})^2}{n-1}}$

Sample standard deviation = $\sqrt{\frac{(21-23)^2+(25-23)^2+(23-23)^2+(22-23)^2+(24-23)^2+(21-23)^2+(25-23)^2+(21-23)^2+(23-23)^2+(26-23)^2+(21-23)^2+(24-23)^2+(22-23)^2+(24-23)^2+(23-23)^2+(21-23)^2+(21-23)^2+(26-23)^2+(23-23)^2+(24-23)^2}{20-1}}$

Sample standard deviation= s = $1.72$

Degree of freedom = n-1 = 20-1 -19

Critical value of t using the t-distribution table $t_{\frac{\alpha}{2}$ = 3.883

Formula of confidence interval : $\bar{x} \pm t_{\frac{\alpha}{2}} \times \frac{s}{\sqrt{n}}$

Substitute the values in the formula

Confidence interval : $23 \pm 1.73 \times \frac{1.72}{\sqrt{20}}$

Confidence interval : $23 -3.883 \times \frac{1.72}{\sqrt{20}}$ to $23 + 3.883 \times \frac{1.72}{\sqrt{20}}$

Confidence interval : $21.506$ to $24.493$

Hence Confidence interval : $21.506$ to $24.493$

3 0

3 years ago

Read 2 more answers

of the 50 students particapating in after school sports ,30% of them turned them in .How many students turned in their physical

Readme [11.4K]

Answer:

Step-by-step explanation:

30% of 50 is 15 beacuase 50 is 1/2 of 100, and of 100 students 30 would have submtted forms. 1/2 of 30 is 15 which s the number of students that turned n forms

7 0

3 years ago