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2 years ago

Which congruence criteria is met in the following scenario? SAS SSS AAS HL ASA

Mathematics

1 answer:

Delvig [45]2 years ago

6 0

SAS Because order will always matter and in this case the order will result in Side Angle Side Congruence Theorem

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Mrs. Donelly drew the triangle above on the chalkboard and asked her students to write down possible side lengths for a, b, and

GenaCL600 [577]

Answer:

a=2;b=4;c=6.

Louis wrote the correct answer.

4 0

2 years ago

Find the distance between the pair of points. Round your answer to the nearest hundredth. (-8,19) and (3,5)

Amiraneli [1.4K]

Answer:

<h3>The answer is 17.80 units</h3>

Step-by-step explanation:

The distance between two points can be found by using the formula

$d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } \\$

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(-8,19) and (3,5)

The distance between them is

$d = \sqrt{ ({ - 8 - 3})^{2} + ({1 9 - 5})^{2} } \\ = \sqrt{( { - 11})^{2} + {14}^{2} } \\ = \sqrt{121 + 196} \\ = \sqrt{317} \: \: \: \: \: \: \: \: \: \: \: \: \\ = 17.804493...$

We have the final answer as

<h3>17.80 units to the nearest hundredth</h3>

Hope this helps you

5 0

3 years ago

In one year, three awards (research, teaching, and service) are given to a class of 25 graduate students in a statistics departm

allochka39001 [22]

Answer:

13,800

Step-by-step explanation:

This is a permutation, not a combination, because order matters.

Here's why:

Arbitrarily, let's say that the three students chosen for the award are Abby, Bob, and Charlie. The order of which each award is given to the three of them matters, because otherwise they would be receiving different awards. For example, if Abby gets the research award, Bob gets the teaching award, and Charlie gets the service award, this would be notably different than if Abby got the teaching award, Bob got the service award, and Charlie got the research award.

Therefore, for the first award, we have 25 people to choose from. After we select that person, we have 24 people to choose from, since the problem stipulates that each student can receive at most one award. Then 23, and so on.

Since we're choosing three people to give awards to, there are:

$25\cdot 24\cdot 23=\boxed{13,800}$ permutations. Because order matters (refer to explanation above), this is our final answer.

3 0

3 years ago

The sampling distribution of the proportion follows the normal distribution when the values np and nq are greater than or equal

Keith_Richards [23]

I dont know. So i am sorry ask someone alse. Thanks

8 0

3 years ago

solve the system of equations and choose the correct answer from the list of options. 2x y = -4 y = 3x 2(-6/5 , -8/5)(-8/5 , -6/

natita [175]

If you would like to solve the system of equations 2x + y = -4 and y = 3x + 2, you can do this using the following steps:

<span>2x + y = -4
y = 3x + 2
</span>_________
<span>2x + y = -4
</span>2x + 3x + 2 = -4
5x = -4 - 2
5x = -6
x = -6/5

y = 3x + 2 = 3 * (<span>-6/5) + 2 = -18/5 + 10/5 = -8/5
</span>
(x, y) = (-6/5, -8/5)

The correct result would be (-6/5, -8/5).

6 0

3 years ago