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ololo11 [35]
3 years ago
7

Triangle KLM is similar to Triangle RST.

Mathematics
2 answers:
fgiga [73]3 years ago
8 0

Answer: true

Step-by-step explanation:

since the triangles are similar the sides are proportional

Alchen [17]3 years ago
4 0

Answer:

<h2>True.</h2>

Step-by-step explanation:

When we demonstrate a similarity, we deduct corresponding congruences and proportions.

It's important to know that similarities are about proportional sides, but congruent angles.

So, if ΔKLM is similar to ΔRST, that means corresponding sides are proportional, which pairs of sides are corresponding? Well,

  • KL and RS.
  • LM and ST.
  • KM and RT.

SO, the proportional relation is

\frac{KL}{RS}=\frac{LM}{ST}=\frac{KM}{RT}

You can see this corresponding side in the image, KL is at the same position than RS, this also apply for LM and ST, KM and RT.

Therefore, the given statement is true.

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Explain why the system has the answer given. Solve each system by elimination to prove your answer.
andrey2020 [161]

Answer:

<em>Proved below</em>

Step-by-step explanation:

<u>System of Equations</u>

There are several ways to solve a system of linear equations. One of the most-used is the method of elimination which consists in adding two or more equations to eliminate one or more variables.

The system shown in the question has evidently no solutions because we have the same variables related in the exact same way in the left side of both equations and a different number as a result of those operations.

To prove the statement, let's multiply the first equation by -1

-x-2y=-8\\x+2y=20

Adding both equations:

0=12

This false result comes from the fact that we tried to solve a system with no solutions. The only way we could have solved it is that both right sides had been equal

4 0
3 years ago
Find the value of B - A if the graph of Ax + By = 3 passes through the point (-7,2), and is parallel to the graph of x + 3y = -5
alisha [4.7K]

Answer:

The found values are:

A = 1/3

B = -8/3

Step-by-step explanation:

We know that general equation is given by:

y = mx + c

where m is the slope and c is a constant.

x + 3y = -5

y = -(1/3)x - 1/3(5)

Slop of the equation is -(1/3). As parallel line have same slope substitute it in the first equation:

Ax + By = 3

By = -Ax - 3

By = (1/3)x - 3

Hence, A = 1/3

Substitute point (-7,2) into the equation:

B(2) = (1/3)(-7) -3

B(2) = -7/3 - 3

B(2) = -16/3

B = -16/6

B = -8/3

5 0
3 years ago
What is the volume of the trapezoidal right prism 20 m 2 m 8 m
stich3 [128]
I think it's d.392 cm3
3 0
4 years ago
Find m so that the quadrilateral is a parallelogram. Enter your answer as a number.
jonny [76]

Answer:

m=6

Step-by-step explanation:

For this figure to be a parallelogram, the sides must be the same length

4m+2 = 3m+8

Subtract 3m from each side

4m+2-3m = 3m+8-3m

m+2 =8

Subtract 2 from each side

m+2-2 =8-2

m=6

4 0
4 years ago
A cleaner charges $0.50 per square foot to polish wood floors. a school hall has a floor area of 30 feet by 50 feet. what would
nexus9112 [7]
First calculate the area of the floor, this would be 30*50 = 1500 square feet
Now multiply the area by the cost for each square foot, so 1500*0.5 = $750
7 0
3 years ago
Read 2 more answers
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