Answer:
x = 5
Step-by-step explanation:
I already answer this on another question you actually made, but here it is again:
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
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Answer:
9 songs
Step-by-step explanation:
¼ of 36
¼ × 36 = 9
Answer:
240
12.5p + 65
14
p
Step-by-step explanation:
I'll explain the equation in different parts
12.5p - Since the number of times he visits is unknown, it has to be a variable. With each visit, however, he earns 12.5 points.
65 - This is a set value that remains constant
240
- Since he needs AT LEAST 240 points, he needs 240 points or more to get his free ticket
As for solving the equation just use properties of equality
240
12.5p + 65
175
12.5p
14
p
F(x)= -x + 2
Plug in the X and you will find the Y
They sold 76 t-shirts and 24 warm up pants.
Step-by-step explanation:
Cost of one t-shirt = $20
Cost of warm up pants = $45
Total sold = 100
Worth of sold items = $2600
Let,
x be the number of t-shirts.
y be the number of warm up pants.
According to statement;
x+y=100 Eqn 1
20x+45y=2600 Eqn 2
Multiplying Eqn 1 by 20

Subtracting Eqn 3 from Eqn 2

Dividing both sides by 25

Putting y=24 in Eqn 1

They sold 76 t-shirts and 24 warm up pants.
Keywords: linear equations, elimination method
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