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3 years ago

Triangle ABC is shown with line DE running horizontally through the center of the figure.

Mathematics

1 answer:

vichka [17]3 years ago

3 0

Answer:

If triangle ABC is dilated by a scale factor of three about the center of the triangle, dilated line D'E' will be parallel to the original line. As the triangle is dilated, the line will move up. This is because the center of the triangle does not lie on DE.

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A recursive rule for a geometric sequence is a1=3;an=12an−1 . What is the explicit rule for this sequence?

ehidna [41]

From the recursive rule, you can tell the initial value is 3 and the common ratio is 12. The explicit rule is always
.. (n-th term) = (initial value)*(common ratio)^(n -1)

Subsituting the values you know, you have
.. an = 3*12^(n-1)

6 0

3 years ago

Use the diagram showing m || n, as well as the relationships between interior and exterior angles of ΔABC, to answer the questio

nlexa [21]

The measure of angle ∠ACB is 70°. Then the correct option is C.

<h3>What is the triangle?</h3>

A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.

∠ABC + ∠BCA + ∠CAB = 180°

60° + ∠BCA + 50° = 180°

∠BCA = 180° – 110°

∠BCA = 70°

Then the correct option is C.

The complete question is given below.

Use the diagram showing m || n, as well as the relationships between interior and exterior angles of ΔABC, to answer the questions.

The measure of ABC is 60

The measure of BAC is 50

The measure of ACB will be

a. 50

b. 60

c. 70

d. 120

More about the triangle link is given below.

brainly.com/question/25813512

#SPJ1

4 0

2 years ago

The mean percentange of a population of people eating out at least once a week is 57℅

Sidana [21]

Answer:

<u>The correct answer is B. between 56.45% and 57.55% </u>

Complete statement and question:

The mean percentage of a population of people eating out at least once a week is 57% with a standard deviation of 3.50%. Assume that a sample size of 40 people was surveyed from the population a significant number of times. In which interval will 68% of the sample means occur?

between 55.89% and 58.11%

between 56.45% and 57.55%

between 56.54% and 57.46%

between 56.07% and 57.93%

Source: brainly.com/question/1068489

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Mean percentage of a population of people eating out at least once a week = 57%

Standard deviation = 3.5%

Sample size = 40

Confidence level = 68%

2. In which interval will 68% of the sample means occur?

For answering this question, we should find out the standard deviation of the sample, using this formula:

Standard deviation of the sample = Standard deviation of the population/√Sample size

Standard deviation of the sample = 3.5/√40

Standard deviation of the sample = 3.5/6.32

Standard deviation of the sample = 0.55

Let's recall that a confidence level of 68% means that 68% of the sample data would have a value between the mean - 1 time the standard deviation of the sample and the mean + 1 time the standard deviation of the sample. Thus:

57 - 1 * 0.55 = 57 - 0.55 = 56.45

57 + 1 * 0.55 = 57 + 0.55 = 57.55

<u>The correct answer is B. between 56.45% and 57.55% </u>

7 0

3 years ago

How do you write a word problem using 5621÷23

zepelin [54]

Megan has $5,621 to give to charity. She wanrs to give the money to 23 different charities. Each charity will get the same amount. How much money will each charity get? How much will be left over? Answer: 22r9

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3 years ago

Can someone help me with this question? I need the statement reasoning! Thank you so much I will mark brainliest!

Sergeu [11.5K]

Triangle ABD and triangle CDB are similar because:
-it is given that angle A and angle C are equal, both 90
-angle ABD and angle CDB are equal because they are alternate interior angles
- side DB and side DB are the same length
- two triangles are equal because of AAS

7 0

3 years ago

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