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Aleks [24]
1 year ago
5

Name the property that justifies each statement.If ∠DEF≅∠HJK, then ∠HJK≅∠DEF..

Mathematics
1 answer:
o-na [289]1 year ago
6 0

The property that justifies this statement is the Symmetric Property of Congruence.

<h3>What is symmetric property of Congruence?</h3>

The symmetric property of congruence states that If an angle is congruent to another angle, then the second angle is also congruent to the first angle.

A congruent geometric shapes are shapes having the same size and shape, or matching in size and shape and their corresponding angles are equal to each other.

If shape A is congruent to shape B and A= B , then B = A

Similarly,

If angle DEF is equal to angle HJK, then with the law of symmetry property of angle HJk is equal to angle DEF.

learn more about symmetric property of

Congruence from

brainly.com/question/8762236

#SPJ1

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Annual salary plus bonus data for chief executive officers are presented in the BusinessWeek Annual Pay Survey. A preliminary sa
Anuta_ua [19.1K]

Answer:

175

Step-by-step explanation:

The sample size n in<em> Simple Random Sampling</em> is given by

\bf n=\frac{z^2s^2}{e^2}

<em> where z = 1.96 is the z-score associated with a 95% confidence level ans s the standard deviation. </em>

Replacing values

\bf n=\frac{(1.96)^2(675)^2}{(100)^2}=175

So, there should be 175 chief executive officers in a sample if we want to estimate the population mean annual salary plus bonus with a margin of error of $100,000

7 0
3 years ago
PLEASE HELP I WILL MARK BRAINLIST
Radda [10]
The answer is : multiply 5
7 0
3 years ago
Read 2 more answers
What is the equation of the graph below?
wlad13 [49]

<u>Answer:</u>

<u>y=cos(x+\pi )</u>

<u>Step-by-step explanation:</u>

From the graph, we can see that y = -1 when x  = 0.

So to check whether which of the given options is the equation of the given graph, we will set our calculator to the radian mode and then plug the value of x as 0.

1. y = cos(x + pi/2) = cos(0 + pi/2) = 0

2. y = cos(x+2pi) = cos(0+2pi) = 1

3. y = cos(x+pi/3) = cos(0+pi/3) = 1/2 = 0.5

4. y = cos(x+pi) = cos(0+pi) = -1


Therefore, the equation of this graph is y = cos(x+pi) = cos(0+pi) = -1.



5 0
4 years ago
Circle the number sentence that has a mistake. Correct it to complete the related facts 7+ 9=16. 16+9=7. 9+7=16. 16-7=9
nasty-shy [4]

Answer:

16+9 does not equal 7.

It would be 16-9=7

8 0
3 years ago
What is the value of x in the equation log5 x = 4 jmap?
steposvetlana [31]
To solve for x we proceed as follows:
from the laws of logarithm, given that:
log_a b=c
then
a^c=b
applying the rationale to our question we shall have:
log_5 x=4
hence
5^4=x
x=625
Answer: x=625
5 0
3 years ago
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