Which tool would you use to make chart?

Step-by-step explanation:

angle b = 25° ( vertically opposite)

angle a = 155° ( linear pair)

angle c = 155 ( vertically opposite)

angle a and c are vertically opposite angles

Answer:

[tex]Pr = \frac{1}{216}[/tex]

Step-by-step explanation:

 The sample space of a single dice is:

[tex]S = \{1,2,3,4,5,6\}[/tex]

[tex]n(S) = 6[/tex]

Required:

The probability of rolling 3 sixes

In a sample space of a roll of die, we have:

[tex]n(6) = 1[/tex]

In a roll of dice, the probability of rolling a 6 is:

[tex]P(6) = \frac{n(6)}{n(S)}[/tex]

[tex]P(6) = \frac{1}{6}[/tex]

In 3 rolls, the probability is:

[tex]Pr = P(6)^3[/tex]

[tex]Pr = [\frac{1}{6}]^3[/tex]

[tex]Pr = \frac{1}{216}[/tex]

Answer:

24

Step-by-step explanation:

Multiples of 16 are [tex]16,32,48,64,80,...[/tex]

Find product of each of the multiple of 16 until a number is obtained, the product of whose digits is a multiple of 12.

[tex]16=1(6)=6\\32=3(2)=6\\48=4(8)=32\\64=6(4)=24[/tex]

Here, 24 is a multiple of 12.

So,

24 is the least positive integer such that it is a multiple of 16 and the product of its digits is a multiple of 12.

Using the property of similar triangles, we found that the value of n is 5.

This is the length of the side RQ.

What are similar triangles?

If two triangles have an equal number of corresponding sides and an equal number of corresponding angles, then they are similar. Similar figures are described as items with the same shape but varying sizes, such as two or more figures. Triangles with the same shape but different sizes are said to be similar triangles. Squares with any side length and all equilateral triangles are examples of related objects. In other words, if two triangles are identical, their respective sides are equal in number and their corresponding angles are congruent.

The given triangles are both right triangles.

So they can be considered similar triangles.

One of the properties of similar triangles is that the ratio of corresponding sides is always equal.

Then we can write for the given triangles,

  BA/RQ = AC/QS

 2/n = 4/10

n = 2 * 10 / 4 = 5

Therefore using the property of similar triangles, we found that the value of n is 5.

To learn more about similar triangles, follow the link.

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Answer:

Eliminating method

Step-by-step explanation:

For the given situation i.e.

3x + y = 1

And,

4x + y = 2

Here we use the elimination to determine the value of x and y

So,

3x + y = 1

4x + y = 2

-    -      -

-x = -1

x = 1

Now put the value of x in any of the above equation

So,

3 + y = 1

y = -2

Answer:

The answer would be x=20

Step-by-step explanation:

Z=20

Y=54

W=54

Answer would be X=20 degrees.

The value of x is 20 degree.

A chord is the line that has its end point on the circumference of the circle but do not pass through the center of the circle.

It is given in the figure to find the value of x

The two arcs have measure 108 and 40 degree

From the Property of the angle subtended by the arc at the center and angle subtended by it any other point on the circle:

Angle x = 1/2 ( angle subtended by the arc at the center)

Angle x = (1/2)*40

x = 20 degree

Therefore the value of x is 20 degree.

To know more about Chord

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Answer:

C

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

The null hypothesis, H₀ is that the mean completion time for the TPS report remains at the duration of 6.3 hours

The alternative hypothesis, H₁ is that the mean completion time for the TPS report is less than 6.3 hours

Step-by-step explanation:

The given parameters are;

The average time spent on the TPS report = 6.3 hours

The number of workers in the sample used for the test = 48 office workers

The mean completion time of the TPS report for the sample = 5.7 hours

The test aim; To find out whether the mean time required to fill out the TPS report has been reduced

The null hypothesis, is H₀; μ = 6.3 hours

The alternative hypothesis, H₁; μ < 6.3 hours

Answer:

for the first one X=-5

for the second one it's a fraction so look at the picture

Answer:

7 times

Step-by-step explanation:

To answer this question :

1. the volume of the rectangular prism has to b determined

2. the volume of the cannister has to be determined

3. divide the volume of the rectangular prism by  the volume of the cannister

Volume of the rectangular prism = Width X Height X Length = 6 x 5 x 3 = 90ft³

Volume of a cylinder = πr²h

where

h = height

π =  3.14

Diameter = 2r

radius = 2/2 = 1 feet

3.14 x 1 x 4 = 12.56 feet

90 / 12.56 = 7.2 times

Approximating to the nearest whole number gives 7 times

Answer:

x - 4(x - 2) = -37

x - 4x + 8 = -37

-5x = -37 - 8

-5x = -45

x = 9

Answer:

look at given picture

Step-by-step explanation:

there is complete soln

Answer:

600 m/s2 ×300 kg = 180000 kg.m/s2

Answer:

180000Kgm/s2

Step-by-step explanation:

Force is the product of mass and acceleration. So F=MA

F=600 x 300

F=180000

Answer:100

Step-by-step explanation:perimeter times apothem divided by two

Answer:

l don't understand please explain ppppppppp

Answer:

The answer is 1/15

I hope it helps

Answer:

7.17 km

Step-by-step explanation:

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Answer:

50 %

Step-by-step explanation:

Answer:

x = 8

Step-by-step explanation:

2(78°) = 20x - 4

156 = 20x - 4

add 4 to each side of the equation:

160 = 20x

divide both sides by 20:

x = 8

Answer:

6.00475

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

Divide 64 by 8 to get 8. this is 1/8 of the books.

3/8 were non fiction, or 24

1/4 (2/8) were picture books, or 16

5/8 were non fiction or picture books, so ’the rest‘ of the chapter books is 3/8.

3/8 were chapter books, or 24.

add the amount of picture books and chapter books since they are the fictional texts.

16+24=40

subtract the amount of non fictional books from the amount of fictional books to get the sum.

40-24=16

Answer:

0.3696 radian

21.178°

Step-by-step explanation:

Given :

Radius, r = 22 yards

Area of Sector = 89.45 yd²

Approximate angle of the sector :

Area of Sector = 1/2 * θ * r²

89.45 = 1/2 * θ * 22²

89.45 = 0.5 * 484 * θ

89.45 = 242θ

θ = 89.45 / 242

θ = 0.3696 radian

Radian to degree

0.3696 * 180 / π = 21.178°

Answer:

Part A

12 months a year means

%74.5 x 12 = $894

Part B

4 weeks in a month means

$74.5 ÷ 4 = $18.625

But rounded to the nearest penny. . .

$18.62

because in the thousandths place was a 5 and you round up when there is a 5 or above

Part C

We will go with 31 days in a month, but I will also do 30 for you

$74.5 ÷ 30 = $2.48333

But rounded to the nearest penny. . .

$2.48

because you round down when there is anything less than a 4

$74.5 ÷ 31 = $2.40322580645

But rounded to the nearest penny. . .

$2.40

because you round down when there is anything less than a 4