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Vsevolod [243]
2 years ago
11

$\triangle DEF$ is the medial triangle of $\triangle ABC$ and $\triangle XYZ$ is the medial triangle of $\triangle DEF.$ If the

perimeter of $\triangle XYZ$ is $5$, what is the perimeter of $\triangle ABC
Mathematics
1 answer:
lbvjy [14]2 years ago
6 0

A medial triangle is made from the midlines of the larger triangle, and its

length is half the length of the third side of the triangle.

  • The perimeter of ΔABC is <u>20</u>

Reasons:

The medial triangle of triangle ΔABC is triangle ΔDEF

The medial triangle of  ΔDEF is ΔXYZ

The perimeter of ΔXYZ = 5

By the midpoint theorem, we have;

The lengths of the sides of ΔDEF = 0.5 × The lengths of the sides of ΔABC

∴ The perimeter of ΔDEF = 0.5 × The perimeter of ΔABC

Which gives;

The perimeter of ΔABC = 2 × The perimeter of ΔDEF

Similarly, between ΔXYZ and ΔDEF, we have;

The perimeter of ΔDEF = 2 × The perimeter of ΔXYZ

∴ The perimeter of ΔDEF = 2 × 5 = 10

Therefore;

The perimeter of ΔABC = 2 × 10 = 20

<u>The perimeter of ΔABC = 20</u>

Learn more about the perimeter of a triangle here:

brainly.com/question/1340753

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timofeeve [1]

Median is the central tendency of the data and always exists in the middle of the data set.

<h3>What is the median?</h3>

The Median is the middlemost value of the numbers arranged in the ascending orders. Median is the central tendency of the data and always exists in the middle of the data set.

The process of finding the median if the number of data points is even is as follows:

  • Put the numbers or the data points in the order(increasing or decreasing i.e. ascending or descending order)
  • Next cross of the high/ low pairs
  • Add the leftover numbers
  • and divide the number( as obtained in the above step by 2)

( if the number of data pints were even then we just need to arrange the numbers and cross the high/low pair and only one data point will be left which acts as the Median of the data set)

To know more about median follow

brainly.com/question/26151333

#SPJ1

4 0
1 year ago
Como calculo galileo galilei el valor de la aceracion gravitacional?
Inessa [10]
F=w=mg.
La fórmula de aceleración es, f Dividido por m
8 0
3 years ago
Mitchell deposits $1,200 in an account that pays 1.5% simple interest. He keeps the money in the account for three years without
rosijanka [135]

The amount that will be in the account after three years is $1,254.00.

Using this formula

B = P+ ( P x R x T)

Where:

B=Amount ?

P=Principal=$1,200

r=Rate=1.5% or 0.015

T=Time=3 years

Let plug in the formula

B=$1,200+($1,200×0.015×3)

B=$1,200+$54

B= $1,254.00

Inconclusion the amount that will be in the account after three years is $1,254.00.

Learn more here:

brainly.com/question/20348538

7 0
3 years ago
Read 2 more answers
Please help and maybe explain<br><br> if it’s not clear enough:
love history [14]

Answers:

  • x = 4
  • angle CAB = 26 degrees
  • angle ABC = 24 degrees

Depending on your teacher, you may or may not have to input the word "degrees" or the degree symbol.

============================================================

Explanation:

We use the remote interior angle theorem.

This says to add two interior angles, and the sum is equal to the exterior angle that is not adjacent to any of the interior ones. Hence the "remote".

(angle CAB) + (angle ABC) = exterior angle

(6x+2) + (9x-12) = 50

15x-10 = 50

15x = 50+10

15x = 60

x = 60/15

x = 4 is the first answer

We can then find the interior angles

angle CAB = 6x+2 = 6(4)+2 = 24+2 = 26 degrees is the second answer

angle ABC = 9x-12 = 9(4)-12 = 36-12 = 24 degrees is the third answer

Then notice how 26+24 = 50 to help confirm the answers.

7 0
2 years ago
Read 2 more answers
A bread machine produces 159 loaves of bread per hour. The machine operates 10 hours per day. How many loaves of bread does it p
Sergeu [11.5K]

Answer:

It can produce 1590 loaves of bread per day.

Step-by-step explanation:

Given that the bread machine operates only 10 hours per day. So in order to calculate how many loaves can be produce a day, you have to multiply it by 10 :

1hour = 159loaves

10hours = 159 \times 10

10hours = 1590loaves

6 0
2 years ago
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