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galben [10]
3 years ago
14

The triangles are similar. solve for x

Mathematics
1 answer:
Reptile [31]3 years ago
4 0

Answer:

x= 6.25

Step-by-step explanation:

The hypotenuse of triangle JKL is taken as 96, in the similar way the hypotenuse of triangle JTU is 36. So x can be found by first finding the value of JU, using the Pythagoras theorem.

a^{2} = b^{2} + c^{2}

In this shape the formula will be:

TU^{2} = JT^{2} + JU^{2}

Substitute the given values in the shape into the formula.

TU = 34

JT = 27

TU = Lets take 'y'

34^{2} = 27^{2} + y^{2}

1156 = 729 + y^{2}

y^{2} = 1156 - 729

y^{2} = 427

y = \sqrt{427} = 20.7 ( rounded to 1 decimal place) = 21 (rounded to whole number).

So the original value of JU is '21', but we have to find the value of 'x'. So the expression '-4 + 4x' is equal to 21. This can be written as:

-4 + 4x = 21

4x = 21 + 4

4x = 25

∴ x = \frac{25}{4} = 6.25

x= 6.25

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Answer:

(-1, 6)

Step-by-step explanation:

The midpoint is the halfway point. So, if M is the midpoint of PQ, then simply take the distance between your P and M co-ordinates and apply that one more time to get to Q.

Your x value at point M is 5, and your x value at point P is 11.

11 and 5 are 6 units apart.

Since M is in the middle of P and Q, M is therefore 6 units apart from both P and Q on the x-axis, so we can subtract 6 from 5 to find Q's x co-ordinate of -1.

Your y value at point M is -2, and your y value at point P is -10.

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Add 8 to M to find your y co-ordinate at point Q of 6.

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5 0
3 years ago
Syeda had $80.45 in her bank account on Monday. She deposited $20.50 on Tuesday. She then withdrew $37.25 on Wednesday. How much
Reptile [31]

Answer:

$22.70

Step-by-step explanation:

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hope i helped.

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matrenka [14]

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Step-by-step explanation:

Try to understand what this equation is saying and what plugging in different values would represent.

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Answer:

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Step-by-step explanation:

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