1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
valkas [14]
3 years ago
8

Select the procedure that can be used to show the converse of the

Mathematics
1 answer:
Vera_Pavlovna [14]3 years ago
7 0

Answer:

The correct option is C

Step-by-step explanation:

I attached an image that forms the complete question.

The converse Pythagorean theorem states that, "If the square of the longest side of a triangle is equal to the square of the other two sides, then the triangle is a right triangle."

That is if c is the longest side of a triangle and then a and b are the other sides, then if,

c² = a² + b², the triangle is a right triangle.

Looking at all the options, option C fits the theorem well. Because

3² + 4² = 5² implies the triangle is a right triangle and the converse theorem is established.

The option D also looks close, but it's not correct because you can just draw any two sides and put the right angle in between them. The longest is always the part of the triangle that is opposite to the right angle, 90°. If for instance, you draw 3 and 5 then put the right angle in between them, 4 will take the position of the longest side which is wrong.

Therefore, the correct option is c.

You might be interested in
Which of the following statement is not a reason for sampling?
VladimirAG [237]

Answer:

Studying every single instance of a thing is impractical or too expensive

Step-by-step explanation:

With sampling we a have a lot of data without much effort.

3 0
3 years ago
There are 21 bags of pears on a market stall.
geniusboy [140]

Answer:

13 pears in the 21st bag

Step-by-step explanation:

mean = total number of pears/total number of bags

8 = x/21

x = 168

number of pears in 20 bags = (6 x 2) + (7 x 6) + (8 x 9) + (9 x 1) + (10 x 2)

= 155

number of pears in the 21st bag = 168 - 155

= 13

4 0
3 years ago
I need help please it’s really hard and I don’t understand it
mr_godi [17]

The line segment HI has length 3<em>x</em> - 5, and IJ has length <em>x</em> - 1.

We're told that HJ has length 7<em>x</em> - 27.

The segment HJ is made up by connecting the segments HI and IJ, so the length of HJ is equal to the sum of the lengths of HI and IJ.

This means we have

7<em>x</em> - 27 = (3<em>x</em> - 5) + (<em>x</em> - 1)

Solve for <em>x</em> :

7<em>x</em> - 27 = (3<em>x</em> + <em>x</em>) + (-5 - 1)

7<em>x</em> - 27 = 4<em>x</em> - 6

7<em>x</em> - 4<em>x</em> = 27 - 6

3<em>x</em> = 21

<em>x</em> = 21/3

<em>x</em> = 7

5 0
3 years ago
In ACDE, the measure of E=90°, the measure of C=70°, and DE = 12 feet.
Oksi-84 [34.3K]

Answer:

Step-by-step explanation:

12.8 feet

6 0
2 years ago
"Assume that a sample is used to estimate a population proportion p. Find the margin of error E that corresponds to the given st
11111nata11111 [884]

Answer:

The error E = ± 4.04 %

Step-by-step explanation:

Solution:-

- The sample data is used to estimate the population proportion ( p ).

- The success p^ = success percentage = 40 %

- The confidence interval CI = 98%

- The sample size n = 800

- The margin of error E:

- The margin of error "E" for estimation of population proportion ( p ) is given by:

                          E = z-critical*\sqrt{\frac{p~ ( 1 - p~ )}{n} }

Where, Z-critical value is defined by the significance level:

                         P ( Z < Z-critical ) = α / 2

Where, α : Significance level

                          α = 1 - CI

                         P ( Z < Z-critical ) = (1 - 0.98) / 2

                         P ( Z < Z-critical ) = 0.01  

                         Z-critical = 2.33

- The error E of estimation is:

                        E = 2.33*\sqrt{\frac{0.4 ( 1 - 0.4 )}{800} }\\\\E = 0.04035

- The error E = ± 4.04 %

6 0
3 years ago
Other questions:
  • What is the relationship of the 6's in the number 660,420?
    9·1 answer
  • Enter the percent as a simplified fraction and as a decimal.
    6·1 answer
  • If f(x) = x2 and g(x) = 1 2x + 3 , find g(f(-1)).
    13·1 answer
  • Which expression is equal to |-12|-|-3|? <br><br> -15<br> -9<br> 9<br> 15
    15·1 answer
  • Y = 1/2x + 2<br> What is the slope?
    8·2 answers
  • PLZ ANSWER Selena picked eight baskets of tomatoes. Her sister threw away one of the baskets due to bruising. What percent were
    15·2 answers
  • Instructions: Find the measurement of the diagonal indicated in the following parallelogram.
    5·1 answer
  • What is the distance between (-5, 10) and (-5, -1) ? Label your answer with<br> the word United
    10·1 answer
  • please just help me and give correct answer and not a wrong short answer i need just explanation and please tell me for each ans
    12·1 answer
  • What is 5/6 × 4/9? I'm a little confused
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!