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Nadusha1986 [10]
3 years ago
13

MARKING BRAINIEST!!! 20 PTS!!!

Mathematics
2 answers:
ipn [44]3 years ago
7 0

Step-by-step explanation:

Given, DF and DE are midsegments of ABC. so D is the mid point of AB and F is the mid point of AC. Considering AB,

Then DE is parallel to AC, as mid-segments are parallel to the non included side of the triangle.

Also, according to corresponding angle theorem,

AURORKA [14]3 years ago
6 0

Answer:

Given, DF and DE are midsegments of ABC. so D is the mid point of AB and F is the mid point of AC.

Considering AB,

Then DE is parallel to AC, as mid-segments are parallel to the non included side of the triangle.

Also, according to corresponding angle theorem,

Then,

As,

According to similarity of two triangles,

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the family fine arts center charges $24 per adult and $12 per senior citizen for its performances. on a recent weekend evening w
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337 were senior citizens.

What is the system of equations?

A system of equations, also known as an equation system or a set of simultaneous equations, is a finite set of equations for which common solutions are sought.

Here, we

Let

x = the number of adult tickets sold

y = the number of senior tickets sold

483 people paid admission => a total of 483 tickets were sold and

x + y = 483

the total receipts were $7548

24x + 12y = 7548

by solving the system of equations

x + y = 483....(1)

24x + 12y = 7548....(2)

From equation (1), we get

x = 483-y....(3)

Now, we put the value of x in equation (2) and we get

24(483 - y) +12y = 7548

11592 - 24y + 12y = 7548

12y = 4044

y = 337

Now, we put the value of y in equation (1) and we get

x = 483 - 337

x = 146

Hence, 337 were senior citizens.

To learn more about the system of equations from the given link

brainly.com/question/25976025

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7 0
1 year ago
Please, Help with this MATH question.
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Y in the second equation
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Which best represents the center of the data set below ? <br> mean median range mode
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B. Median

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Find positive square root of<br> 17<br> __<br> 25 17 by 25
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A rectangular swimming pool measures 50 meters in length and 25 meters in width. If the length in the scale drawing is 10 cm, wh
mash [69]

Answer:

The 25 m width of the actual swimming pool in the scale drawing is 5 cm

Step-by-step explanation:

The dimensions of the actual swimming pool given are

Length = 50 meters

Width = 25 meters

The length of the swimming pool on the scale drawing = 10 cm

The scale of the scale drawing is therefore;

10 cm on the scale drawing is equivalent to 50 meters of the actual swimming pool

Which gives;

10 cm:50 m

However, 50 m = 5,000 cm, therefore;

10 cm:5,000 cm or 10 : 5,000

Which is 10 to 5000 or 10/10 to 5000/10 = 1 to 500

The scale of the scale drawing is 1 to 500

or 1 cm of the scale drawing = 5 meters of the actual swimming pool

Therefore, the width of 25 meters of the actual swimming pool can be given as follows;

5 m = 1 cm

1 m = 1 cm/5

25 m = 25× 1 m = 25 × 1 cm/5 = 5 cm

Therefore, the 25 m width of the actual swimming pool in the scale drawing = 5 cm.

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3 years ago
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