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Shalnov [3]
2 years ago
10

Please help with math homework!

Mathematics
1 answer:
mafiozo [28]2 years ago
6 0

Answer:

x = 5

Step-by-step explanation:

To do this, you need to use the Thales theorem.

You can actually apply this theorem and choose two sides of the figure to do it.

In this case, I will choose segment LM and MN and look for a ratio with DE and EF like this:

LM/MN = DE/EF

This theorem states that you can stablish a ratio between two segments assuming that you have at least two paralels lines, like DL || EM || FN

Therefore, it's time to replace the values of those segments and solve for X:

LM/MN = DE/EF

14/16 = 6x -9 / 4x + 4

7/8 = 6x - 9 / 4x + 4

7(4x+4) = 8(6x-9)

28x + 28 = 48x - 72

72 + 28 = 48x - 28x

100 = 20x

x = 100/20

x = 5

You might be interested in
How do you make 2/5 a percent??
Yakvenalex [24]
Divide 2 by 5.
you get .4
to make a number a percent, you shift the decimal two placed to the right.
so 2/5=.4=40%
4 0
3 years ago
Ifteen bales of hale were loaded into a truck. Some of the bales weight 150 pounds, and some weighed 100 punds. Hpw many bales o
horrorfan [7]

Answer:

<em> There are 7 bales of 100 pounds and 8 bales of 150 pounds hale</em>

Step-by-step explanation:

Let the amount of bale of 100 pounds be x and the bale of hale of 150pounds be y

If fifteen bales of hale were loaded into a truck, then x+y = 15 ... 1

Also if some of the bales weight 150 pounds, and some weighed 100 pounds with total weight of pounds to be 1900 pounds, then mathematically;

150y + 100x = 1900

Dividing through by 100;

1.5y+x = 19 ..... 2

Solving equation 1 and 2 simultaneously;

x+y = 15 ... 1

1.5y+x = 19 .... 2

Subtracting 1 from 2

y-1.5y = 15-19

-0.5y = -4

Divide both sides by 0.5

-0.5y/-0.5 = -4/-0.5

y = 8

Substituting y = 8 into equation 1, we will have;

x+y = 15

x+8 = 15

x = 15-8

x = 7

<em>Hence there are 7 bales of 100 pounds and 8 bales of 150 pounds hale</em>

<em></em>

6 0
3 years ago
A rectangular garden is 15 ft longer than it is wide. Its area is 700 ft. What are its dimensions?
ipn [44]
20ft and 35ft are the dimensions
8 0
2 years ago
Read 2 more answers
Factors = _______ and ______
Murrr4er [49]

Answer:

-7 & 5

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
I NEED HELP ASAP jjjuyyy​
MissTica
Yeah it’s defiantly then first but maybe
3 0
2 years ago
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