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mariarad [96]
2 years ago
12

In the figure, point B is the midpoint of AC. Use the figure to answer the questions. Look at the picture and answer option A an

d option B. Will Mark Brainliest if correct.​

Mathematics
1 answer:
spin [16.1K]2 years ago
6 0

Answer:

  • a) No
  • b) SAS

Step-by-step explanation:

<u>B is the midpoint of AC. It means:</u>

  • AB ≅ AC

<u>And we have a common side BD:</u>

  • BD ≅ BD

a) As per above we only have two sides congruent and this information is not sufficient to state the triangles ABD and CBD are congruent.

b) <u>In addition to the two sides we also have:</u>

  • AD ≅ CD

With this additional information we have three sides congruent, so the triangles are congruent by SSS postulate.

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Write the rate as a unit rate: 64 miles in 4 hours
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A recipe calls for 2/3 of cup of milk for 11 cookies. How many cups of milk are needed to make 165 cookies?
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Due to its weakening steel industry, Clay County has been experiencing population decline of 3% every year. The current populati
wel

Using an exponential function, it is found that the population of Clay County will be of $13,482.

<h3>What is an exponential function?</h3>

An increasing exponential function is modeled by:

A(t) = A(0)(1 + r)^t

In which:

  • A(0) is the initial value.
  • r is the growth rate, as a decimal.

In this problem, the current population is 10,300 people, with a growth rate of 3%, hence A(0) = 10,300 and r = 0.03.

The equation is given by:

A(t) = A(0)(1 + r)^t

A(t) = 10300(1 + 0.03)^t

A(t) = 10300(1.03)^t

Hence, in 10 years, the population will be given by:

A(10) = 10300(1.03)^{10} = 13842

More can be learned about exponential functions at brainly.com/question/25537936

#SPJ1

7 0
3 years ago
A real estate company would like to see if the average sale price of townhouses in a particular school district has changed in t
Dennis_Churaev [7]

Answer:

Step-by-step explanation:

a) We would set up the hypothesis test.

For the null hypothesis,

H:0 µ = 280000

For the alternative hypothesis,

H1: µ ≠ 280000

This is a 2 tailed test

Since the population standard deviation is given, z score would be determined from the normal distribution table. The formula is

z = (x - µ)/(σ/√n)

Where

x = sample mean

µ = population mean

σ = population standard deviation

n = number of samples

From the information given,

µ = 280000

x = 294365

σ = 22898

n = 36

z = (294365 - 280000)/(22898/√36) = 3.76

b) Since α = 0.05, the critical value is determined from the normal distribution table.

For the left, α/2 = 0.05/2 = 0.025

The z score for an area to the left of 0.025 is - 1.96

For the right, α/2 = 1 - 0.025 = 0.975

The z score for an area to the right of 0.975 is 1.96

In order to reject the null hypothesis, the test statistic must be smaller than - 1.96 or greater than 1.96

Therefore, the rejection regions are area to the left of - 1.96 and to the right of 1.96 on the normal distribution curve.

The calculated test statistic is 3.76 for the right tail and - 3.76 for the left tail

c) Since - 3.76 < - 1.96 and 3.76 > 1.96, we would reject the null hypothesis.

3 0
3 years ago
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