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Alborosie
2 years ago
12

Triangle G H J is rotated 90 degrees about point X to form triangle S T R.

Mathematics
1 answer:
katrin2010 [14]2 years ago
7 0

The congruency statement is true TS ≅ HG. so option C is correct.

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

Two triangles are said to be congruent if the length of the sides is equal, a measure of the angles are equal and they can be superimposed.

Given information;

Triangle G H J is rotated 90 degrees about point X to form triangle S T R.

Triangle GHJ is rotated 90° about point X, resulting in triangle STR.

Now, if any triangle is rotated 90 degrees about a point the two sides will be ≅ to each other.

So, ST = GH

RT= HJ

SR= GJ

<S= <G

<T = <H

<R=<J

The side TS ≅ HG.

Hence, option (c) is correct.

Learn more about congruent;

brainly.com/question/12812405

#SPJ1

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f a sampling distribution is created using samples of the amounts of weight lost by 51 people on this diet, what would be the st
galina1969 [7]

This question is incomplete, the complete question is;

A study on the latest fad diet claimed that the amounts of weight lost by all people on this diet had a mean of 24.6 pounds and a standard deviation of 8.0 pounds.

Step 2 of 2 : If a sampling distribution is created using samples of the amounts of weight lost by 51 people on this diet, what would be the standard deviation of the sampling distribution of sample means? Round to two decimal places, if necessary.

Answer:

the standard deviation of the sampling distribution of sample means is 1.12

Step-by-step explanation:

Given the data in the question,

population mean; μ = 24.6  pounds

Population standard deviation; σ = 8.0 pounds

sample size; n = 51

Now determine the standard deviation of the sampling distribution of sample means.

standard deviation of the sampling distribution of sample means is simply

⇒ population standard deviation / √sample size

= 8.0 / √51

= 8.0 / 7.141428

= 1.120224 ≈ 1.12

Therefore, the standard deviation of the sampling distribution of sample means is 1.12

5 0
3 years ago
Let H be the set of real numbers less than or equal to eleven
rusak2 [61]

Answer:

The answer would be Set: "S" = the set of natural numbers greater than 11.

Hope this helps!

3 0
2 years ago
In ∆ABC , the coordinates of the vertices are A(-2, 4), B(-1, 1), and C (2, 2). ∆ABC is a right triangle.
Akimi4 [234]

Answer: True

Step-by-step explanation: I made a picture and it adds up:

3 0
3 years ago
-y+31-5y-15 need help with this
iogann1982 [59]
-2 x (3y - 8) would be the answer

4 0
2 years ago
Read 2 more answers
2. Find the distance between A (-1, 4) and B (1.-1)<br> 5.39<br> 5.19<br> 5.29<br> 5.09
Verizon [17]
<h3>Answer: A) 5.39</h3>

=====================================================

Explanation:

Apply the distance formula.

d = \sqrt{ (x_1-x_2)^2+(y_1-y_2)^2}\\\\d = \sqrt{ (-1-1)^2+(4-(-1))^2}\\\\d = \sqrt{ (-1-1)^2+(4+1)^2}\\\\d = \sqrt{ (-2)^2+(5)^2}\\\\d = \sqrt{ 4+25}\\\\d = \sqrt{ 29}\\\\d \approx 5.38516\\\\d \approx 5.39\\\\

You could also use the pythagorean theorem which is what the distance formula is based off of.

6 0
3 years ago
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