12) Identify the relationship in the figure.

A) Complementary angles
B) Supplementary angles
C) Adjacent angles

The equation of the line of reflection should be .

Given information:

Triangle ABC has points (6, 3.7), (5.4, 2), (1, 3). Triangle A' B'C' has points (3.7, 6), (2, 5.4), (3, 1).

A'B'C' is the reflection of the triangle ABC.

It is required to find the equation of the line of reflection.

Now, from the given coordinates of triangle ABC and its reflection, it is clear that the x and y-coordinates have interchanged their values. For example, coordinate (6,3.7) has become (3.7,6).

Therefore, the equation of the line of reflection should be .

Answer:

Step-by-step explanation:

i think its 2/3

Answer:

The number of fruit bars that people got free at the Beachfront store is 700.

The people in Minnesota and Ohio are 8/10 of the total salespeople. The people in Minnesota are 3/10 of the total salespeople.

Step-by-step explanation:

For the problem about free fruit bars:

The pattern is that 2/3 of the bars that were bought will be free.

To find 2/3, we will first do 1050 ÷ 3 to get 350.

Then we multiply by 2 to get 700.

Therefore, the number of fruit bars that people got free at the Beachfront store is 700.

For the problem about the salespeople:

Counting from the picture, there are 10 total parts. To figure out if a statement is true, confirm with the graph.

ex: Figure out if the statement "the people in Minnesota and Ohio are 8/10 of the total salespeople" is true.

Ohio has 5 parts in the graph. Minnesota has 3 parts in the graph. 5+3=8. Now we put this over 10, the total parts. So, the statement is true.

Answer:

Step-by-step explanation:

Input them in the height of a cone formula for volume: h = 3 × V/(π × r²) where: V is the cone's volume; r is the radius; and. h is the resulting height.

Answer:

h = √(l² - r²)

Step-by-step explanation:

you need the length but this is the formula

Answer:

Triangle JKL has greater area. The area of triangle JKL is 32 in^2 and area of triangle XYZ is 24 in^2.

Step-by-step explanation:

Area of triangle = 1/2*base*height
For triangle JKL,
Area = 1/2 * 8 * 8 = 32 in^2
For triangle XYZ,
Area = 1/2* 4 * 12 = 24 in^2
Thus, Area of XYZ < Area of JKL

Answer:

Mr. Walker gave out a total of 28 + 27 + 2 = 57 cookies to the two classes and left 10 + 5 = 15 cookies for the office staff and custodians.

Therefore, the number of cookies left over is:

100 - 57 - 15 = 28 cookies

Mr. Walker had 28 cookies left over.

Step-by-step explanation:

Answer: 28 cookies

Step-by-step explanation:

We have to add up the number of cookies distributed and subtract it from the total amount of cookies he brought in order to find out how many cookies he has left over.

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For the first class with 28 students, Mr. Walker distributed 28 cookies.

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There are 29 people in the second class, which has 27 students and 2 teachers.

Mr. Walker then gave out 29 cookies.

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Mr. Walker left 10 for the office staff, 5 for the custodians, which is a total of 10 + 5 = 15.

So, Mr. Walker distributed 15 cookies.

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We add up the number of cookies distributed to figure out how many cookies he had leftover:  

28 + 29 + 15 = 72.

This gets subtracted from the total number of cookies brought by him:

100 - 72 = 28.

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Therefore, after giving cookies to the two classes, the office staff, and the custodians, Mr. Walker had 28 cookies left over.

Answer:

54

Step-by-step explanation:

[tex] < 2 = 180 - 109 \\ = 71 \\ < 1 = 180 - 71 - 55 \\ = 54[/tex]

The measure of ∠1 is 54 degrees by angle sum property

We have to find measure of angle 2 before finding angle 1 ∠1

∠2 + 109 = 180

Subtract 109 from both sides

∠2 = 180-109

∠2 =71 degrees

From angle sum property theorem we know that in any triangle the sum of  angles is 180 degrees

∠1 + 71 +55 = 180

∠1 + 126 =180

Subtract 126 from both sides

∠1 = 180-126

One hundred eighty minus one hundred twenty six is equal to fifty four degrees

∠1 = 54 degrees

Hence, the measure of ∠1 is 54 degrees by angle sum property

To learn more on Triangles click:

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Answer:

B is the answer!

Step-by-step explanation:

If you have any questions please ask me! :)

Answer:

7 juniors and 2 coins

Step-by-step explanation:

25% is equal to 25/100 which is 1/4. To find 1/4 of 28 it would be 28/4 which is 7. There are 7 juniors in the program.

5-cent: x

10-cent: y

25-cent: z

5x+10y+25z=320 which is also x+2y=5z=64. You can subsitute y for x+3 because he has 3 more 10-cent than 5-cent. x+x+3+z=23 which is 2x+z=20=z=20-2x.

Substitute

x+2(x+3)+5(20-2x)=64

x+2x+6+100-10x=64

7x=106-64

7x=42

x=6, z=20-2*6=8, z-x=8-6=2

×Answer: 400

Step-by-step explanation: [tex]20×20=400[/tex]

Answer: A 3/4

Step-by-step explanation: this is one of those fractions you need to memorize so if it helps think of it like quarters 1/4=25% 2/4=50% 3/4=75% 4/4=100% or divide 3/4=0.75 and 0.75 as a percent is 75% same rule applies to all fractions

Answer:

A

Step-by-step explanation:

75 percent in decimal form would be 0.75

3/4 = 0.75

so they share the same value

Answer:

Step-by-step explanation:

Not answer choice A because if we plug in x = -3 into -5x +2, the answer is 17. which is NOT ≤ 12

B is correct because if we plug in x = -3 into 3x-7, we get -16 which IS ≥ 16

Not answer choice C because if we plug in x = -3 into 14 +2x, we get 8, which is NOT less than 5

Not answer choice D  because if we plug in x = -3 into 1/2x + 6, we get 4.5 which is NOT greater than 11.

Answer:

132 cm^2

Step-by-step explanation:

7x4=28

((7+19)/2)8 = 104

104+28= 132

I think its this :)

Answer: 4+5b=9

A C D E

Just count the units from wherever it stays to.

Answer:

A

D

C

E

Step-by-step explanation:

If you have any questions please ask me! :)

Answer:

Equation: x=45,000 ÷ 3

Answer: 15,000

Step-by-step explanation:

We know that 2/3 of the pens produced in the factory are black. That means that 1/3 of the pens produced in the factory are blue.

If 45,000 pens are produced, then 1/3 of 45,000 will give us the number of blue pens, or x. Now with our equation, we can start solving.

x = 45,000(1/3) is the same thing as x = 45,000 ÷ 3.

45 ÷ 3 is 15. Now we can just add the zeros back in.

x=15000

Therefore, the number of blue pens, or x, is 15,000.

All the best on your homework!

Answer: Option B

Step-by-step explanation:

Considering Option A

we can infer that the office manager paid a total of $675.95

the cost of the software package is $68.50

while an employee is paid $127.95 every hour she works on the website

So, the equation for this situation goes like this: 68.50 + 127.95x = 675.95

Coming to Option B

we can infer that the office manager paid a total of $675.95

the cost of one monitor is $127.95  

while the hard drives are for $68.50 each

So, the equation for this situation goes like this: 68.50x + 127.95 = 675.95

Hence Option B is the correct answer

To learn more about Equations,

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Answer:

∡4 = 146°

Step-by-step explanation:

First, we need to find the value of ∡2, and keep in mind that the sum of all the angles in a triangle is = 180°.

Since the triangle is a right angle, we know that the angle to the bottom right = 90°. The other angle is 56°.

Since there are only 3 angles, let's add 56° and 90° to find ∡2.

56 + 90 = 146

180 - 146 = 34°

∡2 = 34°.

Now that we've found ∡2, we need to find out what type of angles ∡4 and ∡2 are.

They are supplementary angles, since they add up to 180°.

Let's subtract 180 - 34 to give us the value of ∡4

180 - 34 = 146

Therefore ∡4 = 146°

sorry if Im wrong

Answer:

∡4 = 146°

Step-by-step explanation:

Answer:

Put the arrow on -1.3.

Step-by-step explanation:

In order to find -1.3, we first have to solve the problem.

-2 - (-0.7)

Since negative - negative = negative, we know our answer is already going to be negative.

Subtract -0.7 from -2, and to make it easier you can do it on a calculator if you want.

First remove the brackets, then turn the negative sign on -0.7 and the minus sign into a plus sign. It will turn into:

-2 + 0.7

When you add, 0.7 to -2, the sum is -1.3.

Therefore you mark the arrow on -1.3

Answer:

D.) Mode

Step-by-step explanation:

It best represents the data as it has the highest value in the distribution. All other measures of central tendency have lower values in the data.

Sorry if Im wrong

Step-by-step explanation:

See image

Answer:

(a)48 inches, (b)the third quartile, (c) first ---> second quartile

Step-by-step explanation:

(a) because the right whisker reaches to that area.

(b) because the lines are closer together.

(c) because the lines are farther apart.

Answer:

0.32 (rounded to the nearest hundredth)

Step-by-step explanation:

If you have any questions ask me please! :)

Answer:

0.32 km

Step-by-step explanation:

Using the formula r = c / (2 * π), where c = 2 kilometers and π = 3.14, we can calculate the radius as:

r = 2 km / (2 * 3.14)

r = 2 km / 6.28

r = 0.31847133758 km

Rounding this to the nearest hundredth gives:r ≈ 0.32 km

Therefore, the approximate radius of the circle is 0.32 kilometers.

Answer:

EF = 1.58

Step-by-step explanation:

Since DE is provided (2.2), we use that in order to find EF.

First, divide the length of AB by the length of DE.

11 ÷ 2.2 = 5

So we use 5 to figure out the measurement for EF.

BC = EF, so we divide BC by 5 to get EF.

7.9 ÷ 5 = 1.58

therefore EF = 1.58

Answer:

EF is equal to 1.58

Take 11 and divide it by 2.2 to get 5, then divide 7.9(BC) and 5 which is 1.58(EF)

Also I got this right on the test, hope it helps <3

Answer:

Step-by-step explanation:

so its 23 cause .

Answer:

108 bouncy balls

Step-by-step explanation:

2*7=14

5*7=35

7*7=49

14+35+49+108