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Fittoniya [83]
3 years ago
9

The picture below has got me stuck

Mathematics
1 answer:
galben [10]3 years ago
7 0

Answer:

X=42

Step-by-step explanation:

when the question says that ABCD ~ EFGH that's just saying that they are equal.

AB = 16   FE = 10   the first shape has sides that are 6 longer than the second shape.

next, to find X in FG, it's going to be BC - 6 = X - 4 = FG (aka 30 - 6 = 42 - 4 = 20).

i hope thought this out right for you, and hope that helps. :)

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-<br>Write the equation for tan 32.​
Marizza181 [45]

Answer:

If the angle is 32, then the tan of 32 degrees will be 0.625.

Step-by-step explanation:

This is useful because if you know either Opposite or Adjacent length, you can enter it in the equation above and solve for the missing length.

You can also re-write the equation above to solve for Opposite and Adjacent to get the following new equations:

Opposite = 0.625 x Adjacent

Adjacent = Opposite / 0.625

3 0
3 years ago
Give the domain of each of the following functions in interval notation.
balandron [24]

Answer:

the domain of f(x) is R  ⇒ ] -∞ , ∞[

the domain of h(x) is x ≤ -5 ⇒ ] -∞ , -5]

Step-by-step explanation:

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8 0
3 years ago
Question 30 The Royal Fruit Company produces two types of fruit drinks. The first type is pure fruit juice, and the second type
Flura [38]

Answer:

The answer is below

Step-by-step explanation:

The Royal Fruit Company produces two types of fruit drinks. The first type is 65% pure fruit juice, and the second type is 90% pure fruit juice. The company is attempting to produce a fruit drink that contains 85% pure fruit juice. How many pints of each of the two existing types of drink must be used to make 80 pints of a mixture that is 85% pure fruit juice?

Answer: Let x be the number of pints of the first fruit juice (i.e 65%) and y be the number of pints of the second fruit juice (i.e 90%).

Since the total number of pints to make the 85% pure fruit juice is 80, it can be represented using the equation:

x + y = 80                              .                  .                 .    1)

Also, x pints of the first juice = 0.65x, y pints of the second juice = 0.9y and 80 pints of the mixture to be produced = 80(0.85) = 68. Therefore:

0.65x + 0.9y = 68               .                 .                  .        2)

We have to solve equation 1 and 2 simultaneously, first multiply equation 1 by 0.65 to get equation 3:

0.65x + 0.65y = 52            .                  .               .        3)

Subtract equation 3 from 2 and solve for y:

0.25y = 16

y = 16/0.25 = 64

y = 64 pints

Put y = 64 in equation 1:

x + 64 = 80

x = 80 - 64 = 16

x = 16 pints

Therefore 16 pints of the 65% pure fruit juice, and 64 pints of the 90% pure fruit juice is required to make 80 pints of 80% fruit juice.

4 0
3 years ago
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tamaranim1 [39]
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3 0
3 years ago
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What is the perimeter of the rectangle?
Dennis_Churaev [7]

Answer: 50

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