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docker41 [41]
2 years ago
11

Select three sets of numbers that can be the side lengths of a right triangle

Mathematics
1 answer:
777dan777 [17]2 years ago
8 0

Answer:

4th choice, 20, 21, 29 would be the answer.

Step-by-step explanation:

Pythagorean Theorem: a^2 + b^2 = c^2

a= 20, b= 21, c= 29 ( c has to be the C, hypotenuse, because it is the longest)

therefore,

20^2 + 21^2 = 29^2

              into

400 + 441 = 841,

which is true, makes the Pythagorean Theorem work.

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1) the sum of three consecutive integers even is 3,2,1. find the integers.
BabaBlast [244]

3)The original rational number was 17/12.

4)The age of Ruby and Reshma are 20 and 28 years respectively.

Explanation:

3)Let the numerator be x.

So denominator will be (x - 5)

If we add 5 to numberator then it will be (x + 5)

New number is (x + 5)/(x - 5)=11/6

Solve for X by cross multiplying

6(x + 5)=11(x - 5)

6x + 30=11x - 55

5x=85

x=17

So original rational number was 17/12.

4)The ages of Ruby and Reshma are in the ratio 5:7

So, let the present ages of Ruby and Reshma be 5x and 7x respectively.

Also, it is given that four years from now the ratio of their ages will be 3:4

So, the equation - 5x + 4 / 7x + 3 = 3/4

⇒4(5x+4)=3(7x+4)

⇒20x+16=21x+12

⇒21x−20x=16−12

⇒x=4

⇒5x=20 and 7x=28

The age of Ruby and Reshma are 20 and 28 years respectively.

6 0
2 years ago
Find the sum of the arithmetic sequence.<br><br>-10, -7, -4, -1, 2, 5, 8​
Tema [17]

Answer:

-7

Step-by-step explanation:

3 0
2 years ago
Passes through the points (−4, 2) and (12, 6)?
svlad2 [7]

<u>I'll assume you need to find the equation of the line that passes through those points.</u>

Answer:

\displaystyle y-2=\frac{1}{4}(x+4)

Step-by-step explanation:

<u>Equation of a Line:</u>

The equation of a line passing through points (x1,y1) and (x2,y2) can be found as follows:

\displaystyle y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)

The given points are (-4,2) and (12,6), thus:

\displaystyle y-2=\frac{6-2}{12+4}(x+4)

Operating:

\displaystyle y-2=\frac{4}{16}(x+4)

Simplifying, the equation in point-slope form is:

\mathbf{\displaystyle y-2=\frac{1}{4}(x+4)}

3 0
2 years ago
The measured length is 250 ft. The actual length is 246.9 ft. Find the percent error.
Marta_Voda [28]
Percent error = 1.2556%

Steps:
Percent Error =
Vobserved - Vtrue
Vtrue
=
250 - 246.9
246.9
=
3.1
246.9
= 1.2555690562981%

7 0
2 years ago
Write an equation in slope-intercept form for the line with slope -6 and y-intercept 5​
algol [13]

Answer:

y=-6+5

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
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