Find the measure of the remote exterior angle. m∠x=(4n−18)°m∠y=(n+9)°m∠z=(151−5n)° A. 71 B. 16 C. 100 D. 46

Answer:

The correct option is;

Left object volume = right object volume

Step-by-step explanation:

The shapes given in the question are two circular cones that have equal base radius and equal height

The formula for the volume, V of a circular cone = 1/3 × Base area × Height

The base area of the two shapes are for the left A = π·r², for the right A = π·r²

The heights are the same, therefore, the volume are;

For the left

[tex]V_{left}[/tex] = 1/3×π·r²×h

For the right

[tex]V_{right}[/tex] = 1/3×π·r²×h

Which shows that

1/3×π·r²×h  = 1/3×π·r²×h and [tex]V_{left}[/tex]  = [tex]V_{right}[/tex], therefore, the volumes are equal and the correct option is left object volume = right object volume.

Answer:B, C, & F

Step-by-step explanation:

got correct on edge

KM, JK, PK, and MJ are shown on the diagram. Then the correct options are B, C, D, and F.

Coordinate geometry is the study of geometry using the points in space. Using this, it is possible to find the distance between the points, the dividing line is m:n ratio, finding the mid-point of the line, etc.

A line segment in mathematics has two different points on it that define its boundaries.

All the line segments will be

JK, JM, KM, MP, PK, and KL

The triangle KPM.

And the angle will be ∠LKJ, ∠PKM. ∠KMP. and ∠MPK.

Then the correct options are B, C, D, and F.

More about the coordinate geometry link is given below.

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Answer:

Step-by-step explanation:

1. Copy the diagram using ruler for parallel lines * ensure they (the parallel lines) each have the same distance each point to one another before drawing or adding the transversal line L(3)

The transversal doesn't have to be exact to the diagram but the parallel lines do have to be correct to prove that angle 1 + 5 are identical and fit into each other.

2. They only become corresponding because of being on transversal to add to 180 degree. As you will see when you draw angle 1 on colored paper near the first blue/green circle and match with 5 below in the second blue/green circle.

3. The reason they want tracing paper afterwards of the same shape is so you can use alternatively to cover angle 5 in your book.  

You will see they do cover each other.

Additional

''When two lines are crossed by another line (which is called the Transversal), the angles in matching corners are called corresponding angles. ''

Should you enter search for the above statement it will show you an interactive tool you can use for regarding maths transversal.

Here you can compare parallel lines like l(1) and l(2) as even if they were not parallel they would still be corresponding angles. As you will see.

Sry couldn't find the answer

Answer:

17/7

Step-by-step explanation:

the ratio would be 51/21 then to simplify divide both numbers by 3 to get 17/7

Hi there! :)

Answer:

[tex]\huge\boxed{\frac{17}{7} }[/tex]

Given ratio of 51 boys to 21 girls:

Write as a ratio:

[tex]51 : 21[/tex]

Divide both terms by GCF, or 3:

[tex]\frac{51}{3} : \frac{21}{3}[/tex]

[tex]17 : 7[/tex] or [tex]\frac{17}{7}[/tex]

Therefore, the ratio is 17 boys to 7 girls, or   [tex]\boxed {\frac{17}{7}}[/tex]

Answer:

a graph with points plotted to show a possible relationship between two sets of data. ... A correlation where as one variable increases, the other also increases, or as one decreases so does the ... a line that best passes through or near graphed data; used to describe data and predict where new data will appear on the graph.

Answer:

a graph with points plotted to show a possible relationship between two sets of data. ... A correlation where as one variable increases, the other also increases, or as one decreases so does the ... a line that best passes through or near graphed data; used to describe data and predict where new data will appear on the graph.

Step-by-step explanation:

=================================================

Explanation:

Since the x coordinates are the same, we can subtract the y coordinates to get

1.5 - (-3.5) = 1.5 + 3.5 = 5

Note how subtracting a negative is the same as adding.

-------

We can subtract in the other order

-3.5 - 1.5 = -5

but we need to make this result positive. A negative distance is not allowed. Absolute value is applied to make the result positive

|-5| = 5

Answer:

Step-by-step explanation:

(m+1)²+(m-1)²=m²+2m+1+m²-2m+1=2m²+2=2(m²+1)

Answer:

True it does.

Step-by-step explanation:

(M+1)^2 + (M-1)^2 = 2(m^2 + 1)

M^2 + 2m + 1 + m^2 - 2m + 1 = 2(m^2 +1)

2m^2 + 1 = 2(m^2 + 1)

There's your work.

The ^ means number after is exponent.

Hope this helps, and have a good day :)!

Answer:

You started at ( -3,5)

Step-by-step explanation:

You end at (4,5)

You got there by moving right 9 units so move left 9 units

Moving left is subtraction in the x direction

(4-9,5)

( -5,5)

Then move left 2 units so move right 2 units which is adding 2 in the x direction

( -5+2, 5)

( -3,5)

You started at ( -3,5)

Answer:

Option (A),

    _____________

-2 |      5     9     -6

Step-by-step explanation:

Division is an algorithm that is used to find the factors of a number. One method of dividing polynomials is through a process of Synthetic division. Synthetic division for polynomials requires that the divisor (an expression that one uses to divide the polynomial) is linear. One will then set the divisor equal to zero and solve for the unknown such as the following,

x + 2 = 0

x = -2

Under the division sign, one will put all of the coefficients of the divided (the number that will be divided) in order of degree. The coefficient of the term with the highest degree is on the leftmost side, the lowest degree is the rightmost. Therefore the problem would appear as the following,

[tex]\frac{5x^2+9x-6}{x+2}[/tex]

= ([tex]5x^2+9x-6[/tex]) ÷ ([tex]x+2[/tex])

    _____________

-2 |      5     9     -6

Therefore, the correct choice is option (A).

Answer:

Below

Step-by-step explanation:

● 7/25

Let' write this fraction as a decimal then convert it to a percentage

● 7/25 = 0.28

To get a percentage multiply it by 10

● 0.28 × 100

● 28 %

Answer:

0.28 or 28 percent

Step-by-step explanation:

1)The easiest way to solve this is with a calculator. Just enter in 7/25, and you get 0.28.

2) Now, 0.28 is out of 1, but we also want a percent, so you have to change it to make it out of 100. You do this by multiplying by 100, and to do that you simply move the decimal place 2 places back.

3) You would then get 28, so 28 percent.

Extra) You can also do the part I did with a calculator without, but it is much more time consuming. After you get 0.28, you would go through the steps listed above.

Answer:

1 1/2 miles / hour

Step-by-step explanation:

We want distance / time

3/4 miles

---------------

1/2 hour

3/4 ÷ 1/2

Copy dot flip

3/4 * 2/1

3/2

1 1/2 miles / hour

Answer:

D

Step-by-step explanation:

Multiple (3/4)  by 2 to find the information for one hour)

6/4 in one hour

3/2 or 1 + 1/2 mi/h

D is the answer

Answer:

C. 567yd^3

Step-by-step explanation:

To find the volume of the right triangular prism, it is: 1/2a c h.

In this case, 1/2✖️9✖️6✖️21=567yd^3

So this means that option C is the correct answer.

Hope this helps!

Have a nice day:)

Answer:

567 cu. yard

Step-by-step explanation:

will make it simple and short.

Vol = area of a triangle x length

Vol = (1/2 * 6 * 9 ) * 21

Vol = 567 cu. yard

Answer:

MON = 130°

Step-by-step explanation:

LOM + MON = 180°

In other words

4z + 30° + 8z + 90 = 180°

12z + 120 = 180

60 = 12z

z = 5

5 x 8 = 40 + 90 = 130°

Answer:

∠MON = 130º

Step-by-step explanation:

∠LON = ∠LOM + ∠MON

∠LON = 180º

180 = (4x + 30) + (8x+ 90)

combine like terms

180 = 12 x + 120

60 = 12x

x = 5

plug x into equations.

∠MON = 8(5) + 90

∠MON = 40 + 90

∠MON = 130º

check work:

∠LOM = 4(5) + 30

∠LOM = 20 + 30

∠LOM = 50

∠LON = ∠LOM + ∠MON

180 = 50 + 130

Answer:

1/4 was eaten by mama and Baby also ate 1/4

Step-by-step explanation:

goldilocks got 0/4

if papa ate half and baby and mama each ate 1/4 they equal up to 2/4 which is 1/2

papa ate 1/2 and 1/2+1/2=1

Mama bear ate (1/4)a part of pie and the (1/8) fractional part was left for Goldilocks.

The fraction is a rational number that simply divides two numbers and is written in the form a/b where a is called the numerator and b is called the denominator.

Let the full part of the pie is a.

Papa bear ate 1/2 part of the pie.

Then papa bear ate = (1/2)a

rest of the pie is= a- (1/2)a= (1/2)a

Mama bear ate (1/2) of the rest of the pie.

so mama bear ate = (1/2)(1/2)a= (1/4)a part of pie
rest of pie after mama bear ate = (1/2)a- (1/4)a= (1/4)a

Then baby bear ate (1/2) of the rest of the pie.

so baby bear ate = (1/2)(1/4)a= (1/8)a part of pie
rest of pie after baby bear ate = (1/4)a- (1/8)a= (1/8)

The rest of the part was left for GoldLiocks.

Therefore mama bear ate (1/4)a part of pie and the (1/8) fractional part was left for Goldilocks.

Learn more about fraction

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Answer:

8x-20y

Step-by-step explanation:

Use the distributive property then add or subtract the terms(like terms)

3(2x-4y)-2(4y-x)

6x-12y-8y+2x

6x+2x-12y-8y

8x-20y

Hope this helps ;) ❤❤❤

Answer:

8x-20y

Step-by-step explanation:

3(2x-4y)-2(4y-x)

6x-12y-8y+2x

6x+2x-12y-8y

8x-12y-8y

8x-20y

Answer:

The answer is -10/77 .

Step-by-step explanation:

In order to find the value of xy/z, you have to substitute the value of x, y and z into the expression :

[tex] \frac{xy}{z} = xy \div z[/tex]

[tex]( \frac{2}{3} \times \frac{5}{7}) \div - \frac{11}{3} [/tex]

[tex] = \frac{10}{21} \times - \frac{3}{11} [/tex]

[tex] = \frac{10}{7} \times - \frac{1}{11} [/tex]

[tex] = - \frac{10}{77} [/tex]

Answer:

To justify a solution, students will need to be able to use appropriate mathematical language to give reasons for the particular approach used to solve a problem. Any time that a student produces a 'solution' in an attempt to solve a problem, that 'solution' needs to be justified.

Step-by-step explanation:

Answer:I beleive it is (5,-2)

Step-by-step explanation:

Answer:

-2 < x - 1 < 0

Step-by-step explanation:

2. -2 < x - 1 < 0

Answer:

8 servings of rice

Step-by-step explanation:

Answer:

can you send a picture please? i have no clue how to answer this. it seems confusing with the numbers

Answer:

convert them to decimasls

Step-by-step explanation:

convert thhem to decimals to make it easier

Answer:

1/2 2/4 4/8 6/12 9/18

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

Since this isosceles triangle has been broken down into two right triangles, and we already know that two sides are the exact same (note that there are 2 x's) that means BD and BC are going to be the exact same length. Since BD is 4, that means BC will be 4, and that means

[tex]4+4=8[/tex]

Hope this helped!

The probability of drawing a yellow chip, replacing it, and choosing a blue chip will be 18/625.

Its basic premise is that something will almost certainly happen. The percentage of favorable events to the total number of occurrences.

A bin contains seven red chips, nine green chips, three yellow chips, and six blue chips.

Then the total number of the event will be

Total event = 7 + 9 + 3 + 6

Total event = 25

The probability of getting a yellow chip will be

Favorable event = 3 {yellow chip}

Then the probability will be

P(Y) = 3 / 25

The probability of getting a blue chip will be

Favorable event = 6 {blue chip}

Then the probability will be

P(B) = 6 / 25

Then the probability of drawing a yellow chip, replacing it, and choosing a blue chip will be

P = P(Y) x P(B)

P = (3/25) x (6/25)

P = 18 / 625

The probability of drawing a yellow chip, replacing it, and choosing a blue chip will be 18/625.

More about the probability link is given below.

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Answer:

its 28 dude, because it says that adults and children are played more on saturday.(adults on Saturday=$8 and children under 12 are $4

Answer:

A) 24+24+120+160+200

Step-by-step explanation:

The two ends are 24 (1/2bh= 1/2(8*6)).

One side (the back) is 6x20=120

One side (the bottom) is 8x20=160

One side (the top) is 10x20=200

So the equation is 24+24+120+160+200

Answer:

810 cubic centimetres

Step-by-step explanation:

If the box has a square base, the length and breadth of the box are the same. In this case, it's 9cm

The formula for the area of a rectangular prism is

A = lbh

where

l = length

b = breadth

h = height

Therefore the area is 9x9x10 = 810cm³

Answer:

V = 810 cm³

Step-by-step explanation:

V = Ab × h

Ab = s² = (9cm)² = 81 cm²

V = 81cm²×10cm = 810 cm³

Answer:

$180

Step-by-step explanation:

what is 45 20% of? This is what we need to find! To do this we have to take 45 and divide it by .2 which will give us 225. To check that this is the answer we take 45 and divide it by 225. This brings us back to 20%. He wouldve paid $225 for the desk, but there was a $45 discount, and after subtracting the discount we are left with $180

Answer:

78 inches or 174 inches (see explanation)

Step-by-step explanation:

If the perimeter is 64 feet, that means that each side is 8 feet, since there are 8 sides (64/8=8). 8 feet is 96 inches (8*12=96). 96-18=78, so the minimum length of wood he needs for the ledges is 78 inches, assuming you're not counting the wood for the perimeter, too (in which case it would be 174 inches) (78+96=174). Hope this helps!