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3 years ago

Which step can be used to prove that triangle EFG is also a right triangle?

Mathematics

2 answers:

BARSIC [14]3 years ago

7 0

"Prove that triangles are congruent by SSS property and hence angle EGF is equal to angle KML" is the step among the choices given that <span>can be used to prove that triangle EFG is also a right triangle. The correct option among all the options that are given in the question is the third option. I hope it helps you.</span>

MrRissso [65]3 years ago

4 0

Answer:

Option 3rd is correct.

Step-by-step explanation:

In right angle triangle:

Pythagoras theorem follows which is:

$Hypotenuse^2=side^2+side^2$

Here, c= hypotenuse b is one side and a is the other side.

Therefore, according to Pythagoras theorem Option 1 and 2 are discarded.

Option 3rd is correct because all the three sides are equal

Hence, triangles are congruent by SSS property and

Hence, Angles EGF and KML are equal

Therefore, Option 3rd is correct.

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Kenji's town voted on a new speed limit. Of the votes received, 39 were in favor of the new speed limit and 13 were opposed. Wha

Nata [24]

Answer:

75%

Step-by-step explanation:

You need to find the total number of votes first. Just add 13 and 39 which would equal 52.

Then divide the number of people in favour by the total number of voters and multiply by a 100 to find the percentage.

39 + 13 = 52

39/52 = 0.75

0.75 x 100 = 75.0

75%

8 0

3 years ago

What is the perimeter of rectangle with vertices located at (- 3, - 1), (5, - 1), (5, 9) and (- 3, 9) on the coordinate ?

xxMikexx [17]

Answer:

32 units^2

Step-by-step explanation:

Finding the width and the length:

One side = √[(-1 - (-1)^2 + (5 - (-3))^2]

= √(0 + 64)

= 8.

The adjacent side = √(9-9)^2 + (-3-5)^2

= 8.

Perimeter - 4 *8 = 32 units^2.

3 0

3 years ago

There are three dials on a combination lock. Each dial can be set to one of the numbers 1, 2, 3, 4, 5 The three digit number 553

Anika [276]

The number of different three-digit numbers that can be set for the combination lock is 125

<h3>How to determine the number of different locks?</h3>

The digits are given as

Digit = 1, 2, 3, 4, 5

Each digit can be repeated on the number lock.

So, the individual digit of the lock can be any of the 5 digits.

So, we have:

Locks = 5 * 5 * 5

Evaluate

Locks = 125

Hence, the number of different three-digit numbers that can be set for the combination lock is 125

Read more about combination at:

brainly.com/question/11732255

#SPJ1

8 0

2 years ago

The graph of a line is ____ a line<br><br>A always<br>B sometimes

nadya68 [22]

B. sometimes
sometimes it’s a line and sometimes it’s dashed depending on the less than great than sign

5 0

4 years ago

A publisher reports that 30% of their readers own a particular make of car. A marketing executive wants to test the claim that t

IgorLugansk [536]

Answer:

we will fail to reject the null hypothesis and conclude that there's insufficient evidence to support the claim that the percentage is actually more than the reported percentage

Step-by-step explanation:

We are given;

Population proportion; p = 30% = 0.3

Sample proportion; p^ = 37% = 0.37

Sample size; n = 100

Let's define the hypotheses;

Null hypothesis; H0: p ≤ 0.3

Alternative hypothesis; Ha: p > 0.3

Formula for the test statistic is;

z = (p^ - p)/√(p(1 - p)/n)

Thus;

z = (0.37 - 0.3)/√(0.3(1 - 0.3)/100)

z = 0.07/0.04582575695

z = 1.53

From z-distribution table, at z=1.53 we have;

p-value = 1 - 0.9370 = 0.063

This p-value is greater than the significance level of 0.02 and thus we will fail to reject the null hypothesis and conclude that there's insufficient evidence to support the claim that the percentage is actually more than the reported percentage

5 0

3 years ago