For the pair of similar triangles, find the value of x.

Answer:

m = -3

Step-by-step explanation:

We know that,

[tex]V = \frac{1}{3} (a{}^{2} + ab + b{}^{2})h \\ [/tex]

Also,

[tex]l {}^{2} = h {}^{2} + (b - a) {}^{2} [/tex]

[tex]6{}^{2} = h {}^{2} + (9 - 5) {}^{2} [/tex]

[tex]36 = h {}^{2} +16[/tex]

[tex]h {}^{2} = 36 - 16[/tex]

[tex]h = \sqrt{20} [/tex]

[tex]h = 4.47[/tex]

Now , putting the value in the formula of volume

we get,

[tex]V = \frac{1}{3} (5{}^{2}+ 5 \times 9 + 9{}^{2})4.47 \\ [/tex]

[tex]V = \frac{1}{3} (25 + 5 \times 9 + 81)4.47 \\ [/tex]

[tex]V = \frac{1}{3} (25 + 45 + 81)4.47 \\ [/tex]

[tex]V = \frac{1}{3} \times 151 \times 4.47 \\ [/tex]

[tex]V = 224.99[/tex]

Hence, the volume of the given frustum is 224.99 cubic unit

Answer:

The answer of Y I belive its 75 degrees and Z is 105 degrees

Step-by-step explanation:

Because a triangle equals 180 so 180-75 gives you 105 for Z

im positive this is right im not sure correct me if im wrong

hope this helped

The measures of Angles Y, and Z on the map where, all numbered streets run parallel to each other is 75 and 105 degrees respectively.

Angles formed by the transverse line cut by the transversal-

In the given map, all numbered streets run parallel to each other.  Here, both 3rd and 4th streets are intersected by King Avenue.

Here, the delivery driver is driving around town and has noticed that every time he turns, it creates an angle.

The angle y is the angle whose measure is 75 degree are the corresponding angle. Therefore, they must be equal as,

[tex]m\angle y=75^o[/tex]

Hence, the measure of angle y is 75 degrees.

The angle y angle z are the supplementary angle, made on the same line. Therefore,

[tex]m\angle y+m\angle z=180^o\\75+m\angle z=180\\m\angle z=180-75\\m\angle z=105[/tex]

Hence, the measures of Angles Y, and Z on the map where, all numbered streets run parallel to each other are 75 and 105 degrees respectively.

Learn more about angles formed by transverse line here;

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Answer:

10x-3y=12

Step-by-step explanation:

In algebra, we always add alike terms. Meaning, when a set has numbers with the same variable, in this case it was x, we can add/substract/divide them to simplify the equations.

Step-by-step explanation:

I solved it by steps...

I hope you understand...

Answer:

ion kno gang ask a teacher

Answer:

to find the mean you must add all of the numbers in a data set together and then divide by how many numbers there are.

Answer:

give brainliest?

Step-by-step explanation:

the mean or average of a data set is found by adding all numbers in the data  and then dividing by the number of values in the set.

For example, if you have 10 numbers, you add them up and divide by 10. This would give you the mean of the data.

Here's another example with the numbers: 9,8,22,7,7,8,17

First add the numbers up: 9+6+20+7+7+8+20+2+2 = 81 Then divide 81 by the total number of data points, 9, and you get 9.

Theerefore the mean is 9.

Answer:

D.45

take the problem then times it by all your payments by each individual price

Answer:

The oil would produce 70,680 barrels in April.

Step-by-step explanation:

There are 30 days in April.

2356 x 30 = 70,680

Answer:

Let brother's present age be x and sister's present be y

x=y+3

5 years ago

x-5/y-5=4/3

Putting the value of x

y+3–5/y-5=4/3

y-2/y-5=4/3

3(y-2)=4(y-5)

3y-6=4y-20

y=14

x=14+3=17

Brother's present age =17years, sister's present age=14years

Answer:

[tex]2\sqrt{46}[/tex]

Step-by-step explanation:

The factor of the 184 will be 2 × 2 × 46. Then the expression is equivalent to the expression 2√46, Then the correct option is B.

The equivalent is the expression that are in different forms but are equal to the same value.

The given expression is √184.

Then the factor of the 184 will be

184 = 2 × 2 × 46

Then the square root of 184 will be

√184 = 2√46

More about the equivalent link is given below.

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187.15 divided by 19 is 9.85.

9.85 x 40 = 394

Therefore she earns $394 if she worked 40 hours.

Answer: $394

Answer:

87

Step-by-step explanation:

Split into three rectangles

Shape 1: 12 by 3    12×3=36

Shape 2: 3 by 5    3×5=15

Shape 3: 12 by 3   12×3=36

36+15+36=87

Answer:

87 yds

Step-by-step explanation:

simply break the shape into 3 smaller rectangles and find the area of each one

1st one [tex]12*3=36[/tex]

2nd one[tex]5*3=15[/tex]

3rd one[tex]12*3=36[/tex]

add up the areas [tex]36+36+15=87[/tex]

Answer:

62

Step-by-step explanation:

93÷150=0.62

×100 = 62

Hope this helps!!!!

Answer:

62

Step-by-step explanation:

Divide

93/150% = 62

(100*93) / 150

9,300/150 = 62

Answer:

for lines to be Parallel it means they will never touch. Think of train tracks. The two rails will never touch each other. For lines to be perpendicular they have to meet each other to form a corner. think the edge of a desk.

Answer:

47.13

Step-by-step explanation:

Answer:

mm99

Step-by-step explanation:

The multiples of 5 include 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80...

Given that its a straight line, so the sum of three angles is 180°

So possible angles:

..

Answer:

7

Step-by-step explanation:

√50 is close to √49

49 is a perfect square, 50 is close to 49.

√49 = 7

√50 ≈ 7.071068

Answer:

7

Step-by-step explanation:

[tex]\sqrt{50} =7.07[/tex]

Hope this helps  

Answer:

7, 10, 13, 16

Step-by-step explanation:

Given,

Frist term=7

term-to-term rule is add 3

Therefore first three terms will be

7, 7+3=10, 10+3= 13, 13+3=16

Answer:

x = -7

Step-by-step explanation:

Replace the x with -7 and add 4 to -7 to get -3. Then multiply by 7 to get -21.

Answer:

Step-by-step explanation:

multiply all the terms in the bracket by 7

make x the subject of formula

subtract the value

divide both side by 7

divide -49 by 7

Answer:

sub to juice_fox. ?....

Using function theory, the function that could represent this situation is

f(x) =  |42. 67 – x| .

It is given that

The standard diameter of the golf ball = is 42.67

Allowable discrepancy = ±0.002

So upper limit of diameter = 42.672

The lower limit of diameter = 42.668

We need a function that can help in finding a discrepancy.

A function is a rule which determines the relation between two variables.

The correct function that could represent this situation will be

f(x ) = |42. 67 – x|

Where x is the diameter of the ball produced.

For example, if a ball of diameter 42.665 is produced

f(x) =  |42. 67 – x|

f(42.665) =  |42. 67 – 42.670| = 0.005 which is more than the permitted tolerance i.e 0.002.

So, one can easily decide whether to stop production or not.

Therefore, the function that could represent this situation is

f(x) =  |42. 67 – x| .

To get more about function visit:

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Answer:

40 goodie bags

Step-by-step explanation:

We know that there are 1000 grams in a 1 kilogram. So the weight of the box with the party goody bags is 6200 grams. To get the weight of just the goody bags, we subtract the weight of the empty box from the box with the goody bags. We have 6200-200=6000 grams. So the weight of all the goody bags is 6000 grams. Since each goody bag is 150 grams, we divide 6000 by 150. So, 6000/150 = 40. Therefore there are 40 goodie bags.  

Answer:

1. 7(g-5)

2. 12(5m+2n)

3. 2(11w+5)

4. 8(5a+b-3)

5. 4(r+7t-10)

Step-by-step explanation:

simply take out the most common multiple of these numbers

Answer:

x = 100

Step-by-step explanation:

57 + x + 23 = 180

x + 80 = 180

x = 100

Answer:

100

Step-by-step explanation:

180-57

=123

123=x+23

x=123-23

x=100

Answer:

Step-by-step explanation:

A ( 2 , 6 ) ------> A' ( 0 , 2 )

B ( 5 , 3 ) ------> B' ( 1 , 1 )

Equation of the line AA' is y = 2x + 2

Equation of the line BB' is y = ( 1 / 2 ) x + 1 / 2

AA' ∩ BB' = ( - 1 , 0 )  <----- this point is a center of the dilation with the scale 1 / 3

D ( - 4 , - 3 ) -------> D' ( - 2 , - 1 )

C ( 2 , - 3 ) -------> C' ( 0 , - 1 )

Answer:

A) 96 cm

Step-by-step explanation:

Split into three parallelograms

Shape 1: 6 by 7     6×7=42

Shape 2: 3 by 4    3×4=12

Shape 3: 6 by 7    6×7=42

42+12+42=96

Answer:

96 cm

Step-by-step explanation:

Breaking the shape up into 3 smaller rectangles then finding the area of each gives us the total area

[tex]6*7=42*2=84[/tex]

[tex]3*4=12[/tex]

[tex]84+12=96[/tex]

Answer: C. is not correct because angle 2 and angle 5 are same side interior angles. Same side interior angles of parallel lines always add up to 180 degrees. Therefore, the only way angle 2 would be equal to angle 5 would be if they were both 90 degrees, which the two angles are not always right angles.

Answer:

Exterior angle bisectors of the side △ABC at vertices B and C intersect at D. Find ∠BDC if ∠BAC=40∘

Step-by-step explanation:

Answer:

34 & 34

Step-by-step explanation: