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Leya [2.2K]
3 years ago
8

I need help with the question

Mathematics
1 answer:
zheka24 [161]3 years ago
3 0

Answer:

A= $2.15 b=$1.70

Step-by-step explanation:

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I really need help with this! Thank you!!
photoshop1234 [79]
<h3>Answer:</h3>
  1. x = 13; NP = 2 18/23 ≈ 2.8; NL = 5 5/23 ≈ 5.2
  2. D. x = 17, y = 5
<h3>Step-by-step explanation:</h3>

1. In order for this problem to be workable, we need to assume PQ ║ ML. Then ΔPNQ ~ ΔLNM and ∠L = ∠P = 60°.

... ∠L = 60°

... (3x+21)° = 60°

... 3x = 39 . . . . . . . divide by °, subtract 21

... x = 13 . . . . . . . . .divide by 3

The side lengths of similar triangles are proportional, so we have ...

... (3.2 cm)/y = (6 cm)/(8-y)

Multiplying by the product of the denominators, and dividing by (cm), we have ...

... 3.2(8 -y) = 6y

... 3.2×8 = 9.2y . . . . . add 3.2y

... y = 3.2×8/9.2 = 64/23 = 2 18/23 ≈ 2.78 = NP

Then ...

... 8-y = NL ≈ 5.22

In summary: x = 13; NP ≈ 2.8; NL ≈ 5.2

_____

2. If we assume figures ABCD and PSRQ are similar, we can find the values of the variables. We assume ∠C ≅ ∠R, so ...

... 4x +27° = 95°

... 4x = 68° . . . . . subtract 27°

... x = 17° . . . . . . . divide by 4

___

AB/AD = PS/PQ . . . . . corresponding sides of similar figures are proportional

... 4y/(3y-5) = 10/5 . . . . . units of ft cancel

... 5×4y = 10(3y -5) . . . . . multiply by 5(3y-5)

... 20y = 30y -50 . . . . . . simplify

... 50 = 10y . . . . . . . . . . . add 50-20y

... 5 = y . . . . . . . . . . . . . . divide by 10

Using this value of y, we have ...

AB = 4y ft = 20 ft; AD = (3y-5) ft = 10 ft. Both these values are double the corresponding lengths on PSRQ.

In summary, x = 17°, y = 5. . . . . . (note that the ° symbol is appropriate for x)

_____

You should have your teacher show you how to work these problems <em>using only the given information</em>.

In the second problem, you cannot start with the assumption that the figures are similar, as that is what you're being asked to prove. Please note, too, that two sides and one angle of a quadrilateral are insufficient to show similarity.

7 0
3 years ago
A city lot is 20 4/5 meters wide. It is 2 1/2 times as long as it is wide. How long is the city lot? Express your answer in simp
blsea [12.9K]

Answer:

41 6/10 or 41 3/5

both answered are the same, just simplified it

Step-by-step explanation:

20 4/5 x 2= 41 6/10 or 41 3/5

3 0
3 years ago
Read 2 more answers
The numbers 4, 8, 12, and 22 are all multiples of 4.<br>t or f
Romashka-Z-Leto [24]
The answer is false 22 isn’t a multiple of 4
6 0
3 years ago
What is the approximate value of X? Round to the nearest tenth.
pychu [463]

Answer

Find out the value of x.

To prove

By using the trignometric identity

sin\theta = \frac{Perpendicular}{Hypotenuse}

 As given in the diagram.

\theta = 50 ^{\circ}

Perpendicular = x

Hypotenuse =  6

Put in the above identity

sin\ 50^{\circ} = \frac{x}{6}

sin\ 50^{\circ} = 0.77\ (Approx)

Put in the above

x = 6\times 0.77

x =  4.6 cm (Approx)

Therefore Option (c) is correct .

 

8 0
2 years ago
Read 2 more answers
You select a marble without looking and then put it back. If you do this 5 times, what is the best prediction possible for the n
Rama09 [41]

Answer:

You have a chance to get the pink marble at least once.

7 0
2 years ago
Read 2 more answers
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