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Ber [7]
3 years ago
5

Which method would you use to prove that the two triangles are congruent?

Mathematics
1 answer:
Alona [7]3 years ago
6 0

Answer:- AAS postulate


Explanation:-

  • AAS postulate tells that if two angles and a non-included side of a triangle to equal to the two angles and a non-included side of another triangle then the two triangles are said to be congruent.

Given:- One angle and one side of a triangle is equal to the one angle and one side of the other triangle.

We see there is one more pair of equal angles as they are vertically opposite angles . [See the attachment]

⇒ there is a triangle where two angles and a non-included side of a triangle to equal to the two angles and a non-included side of another triangle then the two triangles are said to be congruent.

⇒ The triangles are congruent [ by ASA postulate]


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What is the area of the shaded region?<br> DO NOT include the unit of measure in your answer
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The area is 73. You have to find the area of both triangles using the formula a = 1/2bh. The shaded triangle is 108 square yards but because another triangle is cut out of it, we need to subtract the area of the white triangle from the shaded triangle. The area of the white triangle is 35. So now we have 108-35 =73. That’s how i got 73.
3 0
3 years ago
In a certain​ country, the mean birth weight for boys is 3.27 ​kg, with a standard deviation of 0.51 kg. Assuming that the distr
Degger [83]

Answer:

0.066

Step-by-step explanation:

We solve this question using z score formula

z = (x-μ)/σ, where

x is the raw score

μ is the population mean

σ is the population standard deviation

For the question

mean birth weight for boys is 3.27 ​kg, with a standard deviation of 0.51 kg.

x = 2.5

Hence:

z = 2.5 - 3.27/0.51

z = -1.5098

Probability value from Z-Table:

P(x ≤ 2.5) =P(x < 2.5) = P(x = 2.5) =

=0.065547

Therefore, the proportion of baby boys that are born with a low birth weight is 0.066

5 0
3 years ago
The Smith family is shopping for a new car and they are basing their decision on color and style. Explain how many color choices
soldi70 [24.7K]

Answer:

The colors you can choose are Red Orange Yellow Green Blue Purple Pink Black White Grey Brown so there are 11 colors to choose from. But i think the 8 colors you can choose are Red Green Blue Black Grey White Brown and Yellow so im sorry if it doesn't help because these are the 8 colors i see the most

Step-by-step explanation:

6 0
2 years ago
Read 3 more answers
The population of a town is 6500 and is increasing at a rate of 4% each year. Create a function for this scenario. At this rate,
Stella [2.4K]

Answer:

P_4 = 7604.08

Step-by-step explanation:

If the population increases at a rate of 4% per annum, then:

In year 1:

P_1 = P_0 + 0.04P_0

Where P_0 is the initial population and P_n is the population in year n

In year 2

P_2 = P_1 + 0.04P_1

It can also be written as:

P_2 = P_0 + 0.04P_0 + 0.04 (P_0 + 0.04P_0)

Taking out common factor P_0

P_2 = (1 + 0.04) (P_0) + 0.04P_0 (1 + 0.04)

Taking out common factor (1 + 0.04)

P_2 = (1 + 0.04) (P_0 + 0.04P_0)

Taking out again common factor P_0

P_2 = (1 + 0.04) (1 + 0.04) P_0

Simplifying

P_2 = P_0 (1 + 0.04) ^ 2


So

P_n = P_0 (1 + 0.04) ^ n

This is the equation that represents the population for year n

Then, in 4 years, the population will be:

P_4 = P_0 (1 + 0.04) ^ 4\\P_4 = 6500(1 + 0.04) ^ 4\\P_4 = 7604.08

3 0
3 years ago
The expression 4g gives the number
jeka57 [31]

Answer: 16 quarts.

Step-by-step explanation:

1 quart = 1/4 gallon.

4 quarts = 1 gallon.

If you have 4 gallons, then you need to multiply 4 by 4, because every gallon is equal to 4 quarts.

4 x 4 = 16.

Therfore, there are 16 quarts in 4 gallons.

5 0
3 years ago
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