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malfutka [58]
3 years ago
6

PRYZ is a rhombus. If RK = 5, RY = 13 and mYRZ = 67, find each measure.

Mathematics
1 answer:
lora16 [44]3 years ago
8 0

Answer:

m∠YKZ = 90°

Step-by-step explanation:

PRYZ is a rhombus.

Property of a rhombus:

The diagonals of a rhombus are always perpendicular.

This means lines PY and RZ are perpendicular.

By definition of perpendicular lines, they intersect at right angle. Right angle has the measure of 90°, hence

m∠YKZ = 90°

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If the walls are 9' high, how much paint would I need to buy to paint the walls of all three bedrooms?
ludmilkaskok [199]

Answer:

The required paint for a total of 1.404\ ft^{2} is approximate 6 gallons

Step-by-step explanation:

we know that

To find how much paint would I need to buy to paint the walls of all three bedrooms, calculate the area of all three bedrooms

<em>Master Bedroom</em>

The area is equal to

A1=(16+16+12+2+18)*9=576\ ft^{2}

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The area is equal to

A2=(12+14+10+10)*9=414\ ft^{2}

<em>3 Bedroom</em>

The area is equal to

A3=(10+10+14+10+2)*9=414\ ft^{2}

The total area is equal to

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A=576+414+414=1.404\ ft^{2}

Approximate one gallon of paint covers 250 square feet

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1.404/250=5.6\ gal

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4 years ago
One Euro (€) is equivalent to $1.10. A souvenir costing €15 would cost how much in dollars?
KatRina [158]
That would be $16.50
5 0
3 years ago
Read 2 more answers
Suppose the commute times for employees of a large company follow a
Anna [14]

Using the Empirical Rule, it is found that 95% of the employees will have a travel time within the following range:

B. 8 minutes to 28 minutes.

<h3>What does the Empirical Rule state?</h3>

It states that, for a normally distributed random variable:

  • Approximately 68% of the measures are within 1 standard deviation of the mean.
  • Approximately 95% of the measures are within 2 standard deviations of  the mean.
  • Approximately 99.7% of the measures are within 3 standard deviations of the mean.

Considering that the mean time is 18 minutes and the standard deviation is 5 minutes, the the bounds of the 95% range are given by:

  • 18 - 2 x 5 = 8 minutes.
  • 18 + 2 x 5 = 28 minutes.

Hence option B is correct.

More can be learned about the Empirical Rule at brainly.com/question/24537145

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5 0
2 years ago
Are these correct???
velikii [3]

Answer:

yes

Step-by-step explanation:

8 0
3 years ago
Can any one please do this for me I did not know how to do it can some one please help me
CaHeK987 [17]

Answer:

Length ≈ 31cm

Width ≈ 10cm

Step-by-step explanation:

Let -the-length-be : x\\Let-the-width-be :y\\\\According- to- the- question ; \\x = 3(y)\\x=3y ---------(1)\\2(l+w)=82\\2(x+y)=82\\2x+2y =82 --------(2)\\Substitute- the - given- value- for ; x -in - equation---(1) into -equation (2)\\2(3y)+2y =82\\6y+2y=82\\8y =82\\\frac{8y}{8} =\frac{82}{8} \\y = 10.25\\\\Substitute 10.25 -for ;y -in -eq 1\\x=3y ---------(1)\\x = 3(10.25)\\x = 30.75

CHECK

Length =31\\Width = 10\\P = ?\\P= 2(l+w)\\P = 2(31+10)\\P = 2(41)\\P= 82cm

3 0
3 years ago
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