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Zarrin [17]
3 years ago
10

Prove that triangle ABD is congruent to triangle CBD.

Mathematics
1 answer:
Ede4ka [16]3 years ago
8 0

Answer:

AB=AC, BD is shared side, angle 1 and angle 2 are equal as BD bisects angle ABC

So we have two sides and included angle equal.

  • <em>If two sides and the included angle of one triangle are equal to the corresponding sides and angle of another triangle, the triangles are congruent.</em>

According to the rule above we can say triangles ΔABD ≅ ΔCBD

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A regional planner employed by a public university is studying the demographics of nine counties in the eastern region of an Atl
Brilliant_brown [7]

Answer:

Step-by-step explanation:

Hello!

Given the variables:

X₁: Median Age

X₂: Median Income

b) Considering it from a logical point of view, income changes with age, for example, the more experienced the worker is you would think he would get a better paying job than a younger worker who is just starting. Then the dependent variable will be the median income and the independent variable will be the median age.

a)  and c)

To see if there is a linear regression between the median income and median age you have to conduct a hypothesis test for the slope. If the slope is equal to zero, there is no linear regression between the two variables, if it is different to zero, there is a regression between the two of them:

H₀: β=0

H₁: β≠0

α: 0.05

t= \frac{b-\beta }{Sb} ~~t_{n-2}

The estimated regression equation for this regression ^Yi= 20.01 + 0.50X

The standard deviation for the slope is Sb= 0.11

t_{H_0}= \frac{0.50-0}{0.11} = 4.545

And the p-value for the test is 0.0022

The p-value is less than the level of significance I choose, so the decision is to reject the null hypothesis. You can conclude that there is a linear regression between these two variables.

The correlation coefficient between the median income and the median age is r= 0.87 ⇒ This means you could expect a positive and strong linear correlation between the two variables.

d)

The slope represents how much the variable Y is modified whenever the variable X increases one unit.

In this example: Is the modification of the population mean of the median income, when the median age increases one year.

5 0
3 years ago
You want to choose a volleyball team from a combined group of 11 boys and 13 girls. The team consists of 6 players. What is the
loris [4]

Answer:

11 out of 24

13 out of 24

Step-by-step explanation:

6 0
3 years ago
Ratio 15 to 35 written as a fraction
PilotLPTM [1.2K]

15/35

3/7 the answer is 3/7 which is written in the lowest terms

5 0
3 years ago
A number consists of two digits whose sum is 12. If 16 is added to the number, then one of the digits is four times the value of
NeX [460]

Answer: The number is 12.

Step-by-step explanation:

Since we have given that

Sum of two digits = 12

Let the one's digit be 'x'

Let the ten's digit be '12-x'

So, Original number would be

x+10(12-x)\\\\=x+120-10x\\\\=-9x+120

If 16 is added to the number, then one of the digit is four times the value of the other.

According to question, we get that

-9x+120+16\\\\=-9x+136

so, the one's digit be 'x'.

Let the ten's digit be '4x'.

so, New number would be

10x+4x=14x

According to question, it becomes,

14x=-9x+136\\\\14x+9x=136\\\\23x=136\\\\x=\dfrac{136}{23}=12

So, the number would be

-9x+120=-9\times 12+120=-108+120=12

Hence, the number is 12.

7 0
3 years ago
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12.5%. there is a 1 in 8 chance that all three times it will land on heads.
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3 years ago
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