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3 years ago

Two angles that can be trisected with a straightedge and compass are _ and _ angles.

Mathematics

2 answers:

Serjik [45]3 years ago

7 0

The answer is B. 90, 45 angle

lbvjy [14]3 years ago

3 0

Answer:

The correct option is B.

Step-by-step explanation:

Using the straightedge and compass we can construct the angles which are multiple of 15.

A angle can be trisected with a straightedge and compass if and only if one third of the angle is divisible by 15.

$90 \div 3 = 30\text{ possible ( because 30 is multiple of 15 )}$

$45 \div 3 = 15\text{ possible ( because 30 is multiple of 15 )}$

$30 \div 3 = 10\text{ Not possible (because 10 is not multiple of 15)}$

$75 \div 3 = 25\text{ Not possible (because 10 is not multiple of 15)}$

$60 \div 3 = 20\text{ Not possible (because 10 is not multiple of 15)}$

It means 30, 75 and 60 can not be trisected with a straightedge and compass. So options A, C and D are incorrect.

Two angles that can be trisected with a straightedge and compass are 90° and 45° angles. The option B is correct.

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Triangle STV has vertices S (-3, -2) , T (-4, 3) and V (-2, 3). If (x, y) arrow (x+2, y-3), what are the vertices of its image?

jeka94

Answer:

see below

Step-by-step explanation:

The mapping tells you how to find the vertices of the image:

(x, y) ⇒ (x +2, y -3)

S(-3,-2) ⇒ S'(-3 +2, -2 -3) = S'(-1, -5) . . . . . matches choice D

T(-4, 3) ⇒ T'(-4 +2, 3 -3) = T'(-2, 0)

V(-2, 3) ⇒ V'(-2 +2, 3 -3) = V'(0, 0)

8 0

4 years ago

Translate each verbal phrase into an algebraic expression or equation.

mario62 [17]

Answer:

13) 7 + x/2 = 10

14) 2x - 5 = 7

15) 4x - 1 = 11

16) 6x - 6 = 12

17) x/3 + 10 = 12

18) 2x + 7 = 1

19) 9 + x/7 = 11

20) 8(n - 3)

Step-by-step explanation:

The quotient of x and 2 = x ÷ 2 = x/2

The product is the result of multiplying two or more other numbers

The sum is the result of adding two or more numbers

The difference is the result of subtracting one number from another

13) 7 + x/2 = 10

14) 2x - 5 = 7

15) 4x - 1 = 11

16) 6x - 6 = 12

17) x/3 + 10 = 12

18) 2x + 7 = 1

19) 9 + x/7 = 11

20) 8(n - 3)

7 0

3 years ago

Find AC if A=25°, B=24°, and CB=14

photoshop1234 [79]

Answer is 38
25+14=38

8 0

3 years ago

A phone manufacturer wants to compete in the touch screen phone market. He understands that the lead product has a battery life

alisha [4.7K]

Answer:

The null hypothesis is $H_0: \mu \leq 10$

The alternative hypothesis is $H_1: \mu > 10$

b-1) The value of the test statistic is t = 1.86.

b-2) The p-value is of 0.0348.

Step-by-step explanation:

Question a:

Test if the battery life is more than twice of 5 hours:

Twice of 5 hours = 5*2 = 10 hours.

At the null hypothesis, we test if the battery life is of 10 hours or less, than is:

$H_0: \mu \leq 10$

At the alternative hypothesis, we test if the battery life is of more than 10 hours, that is:

$H_1: \mu > 10$

b-1. Calculate the value of the test statistic.

The test statistic is:

We have the standard deviation for the sample, so the t-distribution is used to solve this question

$t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}$

In which X is the sample mean, $\mu$ is the value tested at the null hypothesis, s is the standard deviation and n is the size of the sample.

10 is tested at the null hypothesis:

This means that $\mu = 10$

In order to test the claim, a researcher samples 45 units of the new phone and finds that the sample battery life averages 10.5 hours with a sample standard deviation of 1.8 hours.

This means that $n = 45, X = 10.5, s = 1.8$

Then

$t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}$

$t = \frac{10.5 - 10}{\frac{1.8}{\sqrt{45}}}$

$t = 1.86$

The value of the test statistic is t = 1.86.

b-2. Find the p-value.

Testing if the mean is more than a value, so a right-tailed test.

Sample of 45, so 45 - 1 = 44 degrees of freedom.

Test statistic t = 1.86.

Using a t-distribution calculator, the p-value is of 0.0348.

5 0

3 years ago

Solve by unfolding: a0=2, and, n>=1, a_n=7a_n-1.

vodomira [7]

We are told that the first term is 2. The next term is 7(2) = 14; the third term is 7(14) = 98. And so on. So, the first term and the common ratio (7) are known.

The nth term of this geometric series is a_n = 2(7)^(n-1).

Check: What is the first term? We expect it is 2. 2(7)^(1-1) = 2(1) = 2. Correct.

What is the third term? We expect it is 98. 2(7)^(3-1) = 2(7)^2 = 98. Right.<span />

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3 years ago

Two angles that can be trisected with a straightedge and compass are _____ and _____ angles.

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