MATHEMATICS COLLEGE

Consider the polygon shown. Determine the value of y. PLEASE HELP

Answers

Answer 1

Answer:

Answer:

y = 64°

Step-by-step explanation:

From the picture attached,

m(∠E) = 90°

m(∠E) = m(∠D)

m(∠B) + 67° = 180° [pair of linear angles]

m(∠B) = 113°

m(∠C) + 75° = 180°

m(∠C) = 180° - 75°

= 105°

Since, sum of interior angles of a polygon = (n - 2) × 180°

Here, n = number of sides

For n = 5,

Sum of interior angles = (5 - 2) × 180°

= 540°

m(∠A) + m(∠B) + m(∠C) + m(∠D) + m(∠E) = 540°

m(∠A) + 113° + 105° + m(∠D) + 90° = 540°

(m∠D) + m(∠D) = 540 - 308 [Since, m(∠A) = m(∠D)]

2(m∠D) = 232

m(∠D) = 116°

m(∠D) + y° = 180° [Linear pair of angles]

116 + y = 180

y = 64°

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Find the domain of the function. (enter your answer using interval notation.) f(x) = x + 3 if x < −1 −2x if |x| ≤ 1 −2 if x > 1

Answers

The domain of the function is the union of all of the "if" parts of the function definition:

... (-∞, -1) ∪ [-1, 1] ∪ (1, ∞) = (-∞, ∞)

Two adjacent angles form a right angle. The larger angle is 3 times the measure of the smaller angle. Which is the measure of the larger angle?This means the angles are in a ratio of 1:3.

A. 67.5°
B. 30°
C. 22.5°
D. 45°

Answers

The angles is B: 30 degrees

Answer:

B. 30

Step-by-step explanation:

A new company is in the process of evaluating its customer service. The company offers two types of sales: (1) Internet sales and (2) store sales. The marketing research manager believes that the Internet sales are more than 10 percent higher than store sales. The alternative hypothesis for this problem would be stated as:

Answers

Therefore the correct answer is for the alternative hypothesis is,

$H_1:P_(internet)-P_(store)\leq0.10$

Null Hypothesis:

A null hypothesis is a theory that assumes there is no statistical importance between the two variables in the hypothesis.

Let $P_(internet)$ be the proportion of the internet sales and $P_(store)$ be the proportion of the store sales.

The researchers claim is that ''the internet sales are more than 10% higher than store sales''.

The alternative hypothesis is,

$H_1:P_(internet)-P_(store)\leq0.10$

The opposite of alternative hypothesis is,

$H_0:P_(internet)-P_(store)\leq0.10$

It can be observed that the alternative hypothesis contains greater than a symbol.

Learn more about the topic Null Hypothesis:

brainly.com/question/19132215

Answer:

$H_A: P_{\text{Internet}}-P_{\text{Store}} > 0.10$

Step-by-step explanation:

We are given the following in the question:

Let $P_{\text{Internet}}$ be the proportion of the internet sales and $P_{\text{Store}}$ be the proportion of the store sale.

Hypothesis:

We have to conduct a hypothesis to check that the Internet sales are more than 10 percent higher than store sales.

Thus, we can design the null and alternative hypothesis as:

$H_(0): P_{\text{Internet}}-P_{\text{Store}}\leq 0.10\nH_A: P_{\text{Internet}}-P_{\text{Store}} > 0.10$

Alternate Hypothesis:

The alternate hypothesis states that the proportion of the internet sales is greater than the proportion of store sales by 10 percent.

Martin can travel 174 miles in 3 hours. At this rate, how far can he travel in 7.

Answers

Answer:

I believe the answer is 406 miles.

Let me know of this is the correct answer

Help i will give brainliest plz help

Answers

Answer:

7. N. 2x-16

8. Y. 4x+20

9. A. 9x-28.8

10. T. 7x-4

11. S. 6x+54

12. N. 8x+6

13. O. 7x+9

14. N. 7x

15. T. 10x+50

16. W. 4x+15

17. I. 5x+26

18. U. 33/5x-12

19. C. 2.8x-7.56

20. O 10/3x+1/6

HEEEEEEEEEEELLLLLLLPPPPP PLEASE ); Kingston deposited $90 in a savings account earning 6% interest, compounded annually. To the nearest cent, how much will he have in 2 years?