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max2010maxim [7]
3 years ago
12

The vertices of triangle rst are r(–1,–2), s(2,–1), and t(4,2). If δjkl ∼ δrst and the length of kl is units , what is the lengt

h of jk?
Mathematics
2 answers:
NemiM [27]3 years ago
7 0

Answer:

3.16 units

Step-by-step explanation:

It has been given that the triangles JKL and the triangle RST are congruent.

That implies that, the length of the side JK, KL, and JL is equivalent to the length of the sides RS, ST, and RT respectively.

Now, to find the length of JK we need to find the length of the side RS. The coordinates of the points R and S are (-1,-2) and (2,-1).

The length of the side RS is equal to the distance between point R and S.

RS =\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

= \sqrt{(2-(-1))^2+(-1-(-(-2))^2}

=\sqrt{3^2+(-1+2)^2}

=\sqrt{9+1}=\sqrt{10}=3.16

Now that we have the length of the side RS, and the triangles JKL and RST are congruent therefore, the length of the side JK is 3.16 units.

chubhunter [2.5K]3 years ago
3 0

Answer:

sq root of 10 over 2

Step-by-step explanation:

took it on edge

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dybincka [34]

To draw the possible box make sure to follow the conditions required and organize the information.

<h3>What is a double box?</h3>

This is a type of chart that displays the data obtained by comparing two categories or elements. In this case, the goals of two different teams.

<h3>How to complete this task?</h3>

Read the prompt carefully.

Identify any conditions. For example, in this case, the number of goals obtained by the team warriors should be higher.

Organize the information in a chart.

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5 0
1 year ago
Consider the system of equations.
jok3333 [9.3K]

Given:

The system of equations:

x-3y=9

\dfrac{1}{5}x-2y=-1

To find:

The number that can be multiplied by the second equation to eliminate the x-variable when the equations are added together.

Solution:

We have,

x-3y=9                        ...(i)

\dfrac{1}{5}x-2y=-1       ...(ii)

The coefficient of x in (i) and (ii) are 1 and \dfrac{1}{5} respectively.

To eliminate the variable x by adding the equations, we need the coefficients of x as the additive inverse of each other, i.e, a and -a So, a+(-a)=0.

It means, we have to convert \dfrac{1}{5} into -1. It is possible if we multiply the equation (ii) by -5.

On multiplying equation (ii) by -5, we get

-x+10y=5       ...(iii)

On adding (i) and (iii), we get

7y=14

Here, x is eliminated.

Therefore, the number -5 can be multiplied by the second equation to eliminate the x-variable.

6 0
2 years ago
Find the slope of the line that passes through the pair of points.<br><br> (–5.5, 6.1), (–2.5, 3.1)
hjlf

Slope of the line is -1.

Step-by-step explanation:

Given points are,

(-5.5,6.1),(-2.5,3.1)

Here,

x_{1} = -5.5 ,\ \ \ x_{2}=-2.5\\y_{1} = 6.1,\ \ \ y_{2}=3.1

Slope = m = \frac{y_{2}-y_{1}}{x_{2}-x{1}}

Putting values;

m=\frac{3.1-6.1}{-2.5-(-5.5)}\\m=\frac{-3}{-2.5+5.5}\\m=\frac{-3}{3}\\m=-1

Slope of the line is -1.

Keywords: Slope, line

Learn more about slopes at:

  • brainly.com/question/2977815
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#LearnwithBrainly

7 0
2 years ago
which agency is not an example of the expansion of the power of the federal government during World War 1
k0ka [10]

Answer:

Probly the enviormently agency

Step-by-step explanation:

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5 0
2 years ago
B) Your local shoe store anticipated giving away 2,500 pairs of shoes in one month, but they only sold 2,215 pairs of shoes. Wha
vampirchik [111]

Answer:

Approximate percent error = 15%

Step-by-Step Explanation:

Let the percentage of error be "e"

Anticipated sales = 2,500

Actual sales = 2,125

The percentage error "e" can be calculated as per the equation below:

2500*(1-e) = 2125

(1-e) = 2125/2500

1-e = 0.85

e = 1-0.85

e = 0.15

e = 15%

Approximate percentage error = 15%

6 0
2 years ago
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