1)The mass of Sarah's dog is 6 Kg more than two times the mass of her cat. The mass of her dog is 16 Kg.What is the mass of her cat?

Answer:

[tex]m\angle L = 100^{\circ}[/tex].

[tex]m\angle J = 80^{\circ}[/tex].

[tex]m\angle M = 100^{\circ}[/tex].

Step-by-step explanation:

Since segment [tex]JM[/tex] is parallel to segment [tex]KL[/tex], quadrilateral [tex]JKLM[/tex] is a trapezoid.

Segment [tex]JK[/tex] and segment [tex]LM[/tex] (the two legs of this trapezoid) are equal in length. Hence, trapezoid [tex]JKLM[/tex] would be an isoscele trapezoid. By symmetry, [tex]m\angle L = m \angle K = 100^{\circ}[/tex].

Line [tex]JK[/tex] traverses line [tex]JM[/tex] and line [tex]KL[/tex]. [tex]\angle J[/tex] and [tex]\angle K[/tex] are a pair of consecutive interior angles as they are both between [tex]JM\![/tex] and [tex]KL\![/tex] and are on the same side of the traversal, [tex]JK\![/tex].

Since line [tex]JM[/tex] is parallel to line [tex]KL[/tex], any pair of consecutive interior angles between these two lines would add up to [tex]180^{\circ}[/tex] (supplementary angles.) Thus, [tex]\angle J[/tex] and [tex]\angle K[/tex] are supplementary angles; [tex]m\angle J + m\angle K = 180^{\circ}[/tex].

Since [tex]m\angle K = 100^{\circ}[/tex], [tex]m\angle J = 180^{\circ} - m\angle K = 180^{\circ} - 100^{\circ} = 80^{\circ}[/tex].

Answer:225.25 or Mean

Step-by-step explanation: Put the sequence of numbers in order: 173,184,195,205,211,215,219,400

Cross of the end number each side until you have only 2 numbers:205,211

Add these numbers then divide them by 2: 205+211=416 416\2= 208

208 is the median

To find the mean is all of the numbers added together divided by the number of numbers: 173+205+195+215+219+184+211+400=1,802/8+225.25

Now compare the median:208 and the mean:225.25 to the sequence of numbers and see which one best describes the typical number of pages in the books. To do that you can subtract 173 from 400: 227

So the answer that's closest to 227 is 225.25.

I think anyway.

The mean and median of the given observation are 225.25 and 208 respectively and the value of the measure of the center would be 227 that best describes the typical number of pages in the books in this series.

Arithmetic mean is defined as the ratio of the sum of observations to the total number of observations. It can be referred to as the average of a specific set of data or the arithmetic mean.

The formula for the mean of a given set of data is as follows:

Mean = Sum of Observations/Total number of observations

Given the set of observations as :

173, 205, 195, 215, 219, 184, 211, and 400

Arrange the data in ascending order.

173, 184, 195, 205, 211, 215, 219, 400

Here n = 8 which is an even number

For finding the median we have to calculate the average of 205 and 211

Thus, the median is 208

When all the numbers are added up and divided by the total number of numbers, the mean is obtained:

⇒ 173 + 205 + 195 + 215 + 219 + 184 + 211 + 400

⇒ 1,802

⇒ mean = 1,802/8

⇒ mean = 225.25

In order to determine which figure accurately represents the median value of 208 to the mean value of 225.25.

To achieve it, divide 400 by 173, which equals 227.

Therefore, 225.25 is the answer that is closest to 227.

Hence, the mean and median of the given observation are 225.25 and 208 respectively and the value of the measure of the center would be 227 that best describes the typical number of pages in the books in this series.

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Answer:

37 is the answer for the first one because 600-45=555/15=37 and 270-15=255/15=17 for the second one.

Answer:

I think the file of the picture is corrupted because it is not loading

Step-by-step explanation:

Answer: A

Step-by-step explanation:

P

E

M

A

S

Answer:

62

8.8

2.7

Step-by-step explanation:

that should be right. try that out

Answer:

62,8.8,2.8

Step-by-step explanation:

Answer:

Radius: 8.5 inches

Area ≈ 226.98

Circumference ≈ 53.42

Step-by-step explanation:

2πr = formula for circumference of a circle

πr² = formula for area of a circle

radius of a circle = (1/2)d

Answer:

The area of the base is 24 [tex]cm^{2}[/tex]

The volume is 168 [tex]cm^{3}[/tex]

Step-by-step explanation:

The area of the base is found by solving [tex]0.5*6*8[/tex], because that is the formula for the area of a triangle.

The volume is found by multiplying the area of the base by the height: [tex]24*7=168[/tex]

Here is the completed two-way frequency table:

                         Comedy     Action     Total

Boys                    37              57              94

Girls                    68               38             106  

Total                   105              95             200

Number of boys that prefer comedy = number of students that prefer comedy - Number of girls that prefer comedy

105 - 68 = 37

Number of boys that prefer action = total numer of boys - Number of boys that prefer comedy

94 - 37 = 57

Total number of students the prefer action = Total number of students - total number of students that prefer comedy

200 - 105 = 95

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Answer:

330 ft^2

Step-by-step explanation:

See attached image

The new account balance by deposit of $378.42 will be $3014.83.

When anything is increased in the already existing quantity then it is termed the addition.

Now it is given in the question that

Selma deposited an amount of = $378.42

Account balance =$2636.41

Now the new balance will be = New amount + Previous balance

[tex]\rm New\ amount = 2636.41+378.42=3014.83[/tex]

Thus new account balance by deposit of $378.42 will be $3014.83.

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Answer:

Step-by-step explanation:

c

fractional number equivalent of 2.888 is

Answer:

[tex]\frac{26}{9}[/tex] or [tex]2 \frac{8}{9}[/tex]

Step-by-step explanation:

Let x equal the decimal. Set up two equations such that the digits after the decimal point are identical.

10x = 28.8888...

x = 2.8888...

Subtracting the two equations, we have:

9x = 26

The value of the expression n² + 26n + 88 is equivalent to negative 4 and negative 22.

It is the method to separate the polynomial into parts and the parts will be in multiplication. And the value of the polynomial at this point will be zero.

The expression is n² + 26n + 88

Put that expression to get the solution

          n² + 26n + 88 = 0

 n² + 22n + 4n + 88 = 0

n(n + 22) + 4(n + 22) = 0

          (n + 4)(n + 22) = 0

The value of n is negative 4 and negative 22.

More about the factorization link is given below.

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Answer:

35+5x

Step-by-step explanation:

Pick each bracket and solve them separately. After solving, then you add them

the first bracket= (9x2-2x+7) = 25-2x ------- eqn 1

the second bracket= (4x2+7x+2) = 10+7x ---- eqn 2

Add eqn 1 and 2

= (25-2x) + (10+7x)

Grouping like terms,

= (25+10) + (-2x+7x)

=35+5x

Divide area by width:

46/10 = 4.6 meters

Answer: 4.6 meters

Answer:

The rectangular garage is 13m long.

Step-by-step explanation:

[tex]\sf\large{\star Given:-}[/tex]

[tex]\sf\large{\star To\: find:-}[/tex]

[tex]\sf\large{\star Solution:-}[/tex]

[tex]\rightarrow[/tex]As we know that,

Perimeter of rectangle = [tex]\sf\blue{2(length+width)}[/tex]

So, by putting the value of perimeter and width in this formula we get,

[tex]\rightarrow[/tex] [tex]\sf{2(l+10)\:=\: 46}[/tex]

[tex]\rightarrow[/tex] [tex]\sf{2l+20\:=\: 46}[/tex]

[tex]\rightarrow[/tex] [tex]\sf{2l\:=\: 46-20}[/tex]

[tex]\rightarrow[/tex] [tex]\sf{2l\:=\: 26}[/tex]

[tex]\rightarrow[/tex] [tex]\sf{l \:=\: \frac{26}{2}}[/tex]

[tex]\rightarrow[/tex] [tex]\sf{l\:=\: 13m.}[/tex]

Therefore, length of the rectangular garage = [tex]\sf\purple{=\: 13m.}[/tex]

_______________________________

Hope it helps you:)

Answer:
Your answer would be:
57.75 or 57 3/4

(I will show how many of each length of twine that is on the graph)

Point 2 1/4:
2

Point 2 3/4:
4

Point 3:
1

Point 3 1/2:
2

Point 3 3/4:
3

Point 4:
1

Point 4 1/4:
4

We can show how much length in total Stevie used with the following equation:

(2 1/4 x 2) + (2 3/4 x 4) + ( 3 x 1 ) + ( 3 1/2 x 2 ) + (3 3/4 x 3 ) + (4 x 1 ) + (4 1/4 x 4)

Each smaller equation in paraphrases shows how much of each length of twine at each point with x's on the number line. Altogether it would equal 57.75 or 57 3/4.

Step-by-step explanation:

Have a great rest of your day
#TheWizzer

Answer:

4/5

Step-by-step explanation:

5/5 - 1/5 = 4/5 is the probability that a person does not live in an industrialized country

The P( person does not lives in an industrialized country ) = 4/5

Probability refers to potential. A random event's occurrence is the subject of this area of mathematics.

The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.

The degree to which something is likely to happen is basically what probability means.

Given:

P( person lives in an industrialized country ) = 1/5

Now, using the Completement probability

P ( person lives in an industrialized country )  + P( person does not lives in an industrialized country ) = 1

P( person does not lives in an industrialized country )

= 1- P ( person lives in an industrialized country )

P( person does not lives in an industrialized country )

= 1- 1/5

= 4/5

Hence, P( person does not lives in an industrialized country ) = 4/5.

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Answer:

21

Step-by-step explanation:

Answer:

29 square root or 5.39

Step-by-step explanation:

Answer:

5.39 units.

Step-by-step explanation:

Distance = √(-8-(-3))^2 + (5-7)^2)

= √((-5)^2 + (-2)^2)

= √(25+ 4)

= √(29)

= 5.39.

Answer: i'm pretty sure the base is 14cm, the height is 7cm, and the volume is 49 cm2

Step-by-step explanation:

for the base, i just added up 6cm and 8cm to get 14cm, the height was already 7cm, and for the volume, its (b*h)/2, since its a triangular 3d object, so  (7*14)/2=49cm2

Answer:

4095

Step-by-step explanation:

This Is for the 4.07 K-12 Quiz! <3

Answer:

4095 yd³ for K12

Answer:

??????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????

Step-by-step explanation:

Answer:

find value of X and y and you can get answers

Answer:

B

Step-by-step explanation:

[tex]\rightarrow[/tex]Radius(r) of sphere = 3m

[tex]\rightarrow[/tex] Volume of the sphere.

[tex]\rightarrow[/tex]Volume of sphere = [tex]\sf{\frac{4}{3}πr^3}[/tex]

[tex]\rightarrow[/tex]Volume of sphere = [tex]\sf{\frac{4}{3}πr^3}[/tex](putting the value of r(radius) from the above given and pie(π) = [tex]\sf{\frac{22}{7}}[/tex])

[tex]\rightarrow[/tex][tex]\sf{=\frac{4}{3}×\frac{22}{7}×3^3}[/tex]

[tex]\rightarrow[/tex][tex]\sf{=\frac{4}{3}×\frac{22}{7}×27}[/tex]

[tex]\rightarrow[/tex][tex]\sf{=\frac{2,376}{21}}[/tex]

[tex]\rightarrow[/tex][tex]\sf{=113.14m^3}[/tex]

Therefore, the volume of the sphere [tex]\sf{=113.14m^3}[/tex], which can be rounded off to it's nearest tenth as [tex]\sf{113.1m^3}[/tex]

____________________________________

Hope it helps you:)

Answer:

x2 - x - 12 is the Quadratic Polynomial Whose zeroes are -3 and 4.

Answer:

90 balls

Step-by-step explanation:

simply add them

Answer: 90 balls

Step-by-step explanation:

30 + 10 = 40

40 + 50 = 90.

Sometimes we start to lose faith, in those moments we think that no one loves us when they do, they care about us too. It's just your head messing with you. It's like saying "I'm depressed" but you're really not. it's just that you keep saying is that your brain starts believing it. Most of the time it's you losing faith. Which is completely normal and everyone in their life will once feel that way. That's why people often decide to end life way too soon. They don't know it's only going to last some time. It's going to be hard of course but it will soon have to come to an end, and when it does you will feel free and you will be able to enjoy life the way you are supposed to.

hope that helps.

Answer:

Answer will be: $123.25

Answer: Neither

Step-by-step explanation: