If the acute angle made by two intersecting lines l and m is 51° and image ABCD is reflected across the line l followed by a reflection across line m, then find the angle through which ABCD is rotated. Question 10 options: A) 25.5° B) 102° C) 26° D) 51°

Answer:idk

Step-by-step explanation:

sorry

The answer is 4/0 or indefinite.

Please see the attached picture for full solution

Hope it helps

Good luck on your assignment

Answer:

150 hours

Step-by-step explanation:

Bill receives $800 as monthly stipend. But after this statement, it says Bill also works at a bookstore. So, it should mean that Bill does not receive $800 from the bookstore. He receives $800 from another job because of the word "also" which is mentioned in the second statement.

If the question is, to find out the number of hours Bill has to work each month if he assumes his monthly income to be $1,200 then 1200/8 = 150

But if the question is trying to mean that Bill receives $800 as a monthly stipend from the bookstore then this answer is wrong.

Then, we would have to calculate the difference.

$1200 - $800 = $420

Time = $420/8 = 50 hours.

Everything depends on the question. The question however needs some explanation, because this question is not written in a clear way.

Answer:

Step-by-step explanation:

The general formula for this sequence is a(n) = a(1)*(-1/4)^(n - 1).  We don't yet know a(1).

If a(3) = 128, then 128 = a(1)*(-1/4)^(3 - 1), or

128 = a(1)*(1/16)

and so a(1) = 128/16

resulting in the specific formua a(n) = 8(-1/4)^(n - 1)

Now let's find a(7):

a(7) = 8(-1/4)^1 * (-1/4)^(6)

or

a(7) = 8(-1/4)^7

It's known as exterior angle theorem...The sum of angleB + angle C is equal to angle DAB....

That means 65+61 = 126...

Angle DAB =126

________________________________

5y-3y+12

=2y+12

So the new expression becomes 2y+12

hope it helps

Good luck on your assignment

________________________________

Answer:

2y+12

Step-by-step explanation:

Answer:

t = 25

Step-by-step explanation:

t - 10 + t = 40

2t = 40+10

2t = 50

t = 50/2

t = 25

Hope this helps.

Answer:

Step-by-step explanation:

Answer:

No

Yes

No

No

Step-by-step explanation:

Answer:

B. The endpoint of the dilated line is (-2,4),(6,8)

Step-by-step explanation:

Given

Line segment AB

Endpoints: A(-3,6) and B(9,12)

Scale Factor: 2/3 about the origin

Required

Find the end points of the dilated line

From the question, we understand that the line segment is dilated about the origin;

The keywords about the origin implies that, to get the endpoints of the dilated line, we simply multiply the coordinates of of the original line by the scale factor;

This is shown below;

[tex]For\ A = (-3,6);[/tex]

The new endpoints become

[tex]A' = \frac{2}{3} A[/tex]

[tex]A' = \frac{2}{3} (-3,6)[/tex]

[tex]A' = (\frac{2}{3} * -3, \frac{2}{3} * 6)[/tex]

[tex]A' = (\frac{2* -3}{3}, \frac{2 * 6}{3})[/tex]

[tex]A' = (\frac{-6}{3}, \frac{12}{3})[/tex]

[tex]A' = (-2, 4)[/tex]

[tex]For\ B = (9, 12);[/tex]

The new endpoints become

[tex]B' = \frac{2}{3} B[/tex]

[tex]B' = \frac{2}{3} (9, 12)[/tex]

[tex]B' = (\frac{2}{3} * 9, \frac{2}{3} * 12)[/tex]

[tex]B' = (\frac{2* 9}{3}, \frac{2 * 12}{3})[/tex]

[tex]B' = (\frac{18}{3}, \frac{24}{3})[/tex]

[tex]B' = (6, 8)[/tex]

Hence, the endpoint of the dilated line is (-2,4),(6,8)

Answer:

3/2

Step-by-step explanation:

Answer:

y

Step-by-step explanation:

The variable in 8y^3 is y because a variable is a number that we don't know yet, and that is the only one.

Answer: 3.675 cm

Step-by-step explanation:

June was 35% more compared to May

35% of 10.5 cm = 3.675 cm in May

Answer:

let’s find the area of the circle first.

The formula to find the area of the circle is 3.14 x r^2

3.14 x 0.5^2 = 0.785 cm^2

Lets find the area of the triangle.

the formula to find the area of the triangle is 1/2 x base x height

The height is found if you subtract the square of 5 from the square of 4.

5^2 - 4^2 = 9

the square root of 9 is 3.

1/2 x 8 x 3 = 12 cm^2

lets find the area of the rectangle

length x width

8 x 4.5 = 36 cm^2

then subtract the area of the circle from the area of the rectangle and then add the area of the triangle

36 - 0.785 + 12 = 47.215 (round it off to 47)

Answer:

A. x= -55

Step-by-step explanation:

got it

Answer:

Answer is 16 ft.

The answer is rounded to the nearest tenth place.

Step-by-step explanation:

[tex]given \: that \: \\ diameter \: of \: circle \: = 5 \: ft \\ then \: radius \: = \frac{5}{2} \: ft \\ we \: know \: that \\ circumferece = 2\pi \: r \\ on \: substiuting \: r= \frac{5}{2} \: ft \ \\ in \: formula \\ circumferece = 2\pi \times \frac{5}{2} \\ = 5\pi \\ substiuting \: \pi = 3.14 \\ = 5(3.14) \\ = 15.7079 \\ = 15.708 \\ when \: it \: is \: rounded \: off \: to \: nearest \: tenth \\ we \: get \: 16 \: ft\: as \: the \: answer.[/tex]

HAVE A NICE DAY!

THANKS FOR GIVING ME THE OPPORTUNITY TO ANSWER YOUR QUESTION.

The circumference of the circle having a diameter of 5 ft will be 15.7 ft.

The easiest way to find the perimeter for any shape is to add up the lengths of all the sides, but a circle only has one side, so that isn't possible. If you don't know its circumference, you also don't know the length of that side.

Fortunately, we can use a formula that uses other properties of a circle to find its circumference. In fact, there are two different formulas for circumference we can use and they look like this:

C = 2πr

Here the diameter of the giver circle is 5 ft so the radii will be 2.5 ft

By putting the value of radius in the formula we get

[tex]C=2\pi r[/tex]

[tex]C=2\pi \times 2.5=15.7\ ft[/tex]

Hence the circumference of the circle having a diameter of 5 ft will be 15.7 ft.

To know more about circumference follow

https://brainly.com/question/20489969

Answer:

Answer is 67%

Step-by-step explanation:

If you want to get the number four from 4 rolls the chances would be

1st roll = 1/6 (16.667%)

2nd roll = 2/6 (33.333%)

3rd roll = 3/6 (50.000%)

4th roll = 4/6 (66.667%)

So the answer is 67%

Answer:

Step-by-step explanation:

The third, fifth and sixth expressions (from the top) are NOT polynomials, and the reason in each case is that the expression has one or more negative powers of x in it.

Answer:

The second option, or option b

Step-by-step explanation:

200/1.321 = 151.4

Answer: € 151.40

Step-by-step explanation:

€1 = $1.321

200/1.321 = €151.40

Answer:

A: 5/23

Step-by-step explanation:

First, lets take the total amount of coins in the jar: 8 nickels, 10 dimes, 6 quarters, and 22 pennies- for a total of 46 coins.

The question is asking what the odds of pulling a dime are.

Since there is 46 coins in the jar, you can just do a fraction and set it up like this:

10

46

From there just simplify the fraction, 10 / 2 = 5, 46 / 2 = 23. The problem can't be simplified further, so the answer you originally had was correct. 5/23

Hope this helps, give brainliest pls blah blah blah

Answer:

21

3x21= 63 have a great day

Step-by-step explanation:

BRAINLIEST PLEASE

Answer:

-7

Step-by-step explanation:

2x+3=x-4

Let's start by subtracting 3 from both sides

2x=x-7

Now, subtract x from both sides

x=-7

Let's plug it in to make sure!

2(-7) +3= (-7)-4

-11=-11

Answer:

x= -7

Step-by-step explanation:

You subtract both sides by x meaning the x on the right side will turn to zero and then you subtract both sides by 3

For the box and whiskers plot for the following set of data the value of Min is 3, Q1 is 6, Med is 12, Q3 is 14.5 and Max is 17.

Box and wishkers plot is the way of representation of data which gives the graphical image of the data set to understand better. In this the data is represented with the help of quartile.

The minimum and the maximum values in the box plot is plotted at the end points.

The following set of data which i s given in the problem.

3, 4, 5, 6, 6, 7, 7, 12, 13, 14, 14, 15, 15, 16, 17

The minimum value in the given data is 3. Thus, the min is 3.

First quartile appears at 6. Thus, the value of Q1 is 6.

The middle value of the given data is 12 which appears at the center of all the values. Thus the med is 12.

Second quartile appears at 14.5. Thus, the value of  second quartile Q2 is 6.

The minimum value in the given data is 17 as shown in the image attached below. Thus, the min is 17.

Hence, for the box and whiskers plot for the following set of data the value of Min is 3, Q1 is 6, Med is 12, Q3 is 14.5 and Max is 17.

Learn more about the box and whiskers plot here;

https://brainly.com/question/9559392

Answer:

About 4.5

Step-by-step explanation:

Since the full base has length 8, half of it must have length 4. Now, using the Pythagorean theorem, you can find x:

[tex]x=\sqrt{6^2-4^2}=\sqrt{36-16}=\sqrt{20}\approx 4.5[/tex] or answer choice D

Hope this helps!

Answer:the answer is 4

Step-by-step explanation:

Answer:

D. -3

Step-by-step explanation:

The table is:

x  |  y

-5 | 23

-2 | 14

 1 | 5

To find the slope, you need two points (x1, y1) and (x2, y2) and the next formula:

slope = (y2 - y1)/(x2 - x1)

Using (-2, 14) and (1, 5) (other combinations are also possible) the slope is:

slope = (5 - 14)/(1 - (-2)) = -3

Answer:

A

Step-by-step explanation:

because it goes up constantly by 12

Answer:

Central Angle OPQ = Arc OQ = 82°

5x - 3 = 82°

5x = 85°

x = 17 degrees

Step-by-step explanation:

Answer:

leg 1= 36  feet

leg2 = 15  feet

Step-by-step explanation:

Hi, we have to apply the Pythagorean Theorem:  

c^2 = a^2 + b^2  

Where c is the hypotenuse of the triangle (in this case the distance between Doreen’s house and the tower) and a and b are the other legs.  

leg1 = x

leg2 = x-21 (21 feet less than the other leg)

Replacing with the values given:  

39^2 = x^2 + (x-21)^2  

1,521 = x^2 + x^2 -42x +441

0 = 2x^2 -42x +441-1,521

0= 2x^2 -42x -1,080

For: ax2+ bx + c  

x =[ -b ± √b²-4ac] /2a  (quadratic formula)

Replacing with the values given:  

x=-(-42)± √(-42)²-4(2)-1080] /2(2)  

x= 42± √10,404] /4

x = 42± 102 /4

Positive:

x = 42+102 /4 = 36

leg 1= 36

leg2 = 36-21 =15

Feel free to ask for more if needed or if you did not understand something.  

The length of shorter leg is 15 feet and other leg is 36 feet.

Let us consider that, length of shorter leg is x feet.

So that, length of other leg is [tex](x+21)[/tex] feet.

It is given that, the hypotenuse is 39 feet.

Apply Pythagoras theorem,

                 [tex]x^{2} +(x+21)^{2} =(39)^{2}\\ \\x^{2} +x^{2} +441+42x=1521\\\\2x^{2} +42x-1080=0\\\\x=15 ,-36[/tex]

Since, side can not be negative.

So that, we have to consider x=15 feet.

Length of other leg[tex]=x+21=15+21=36feet[/tex]

Learn more about the Pythagoras theorem here:

https://brainly.com/question/343682

a=1

b=-5

c=6

Coefficient is very easy. Just take the number in front of the constant x

Answer:

a = 1

b = - 5

c = 6

Step-by-step explanation:

f(x) = ax² + bx + c

f(x) = x² - 5x + 6

a = 1

b = - 5

c = 6

Answer:

(4, - 4 )

Step-by-step explanation:

Since the dilatation is centred at the origin, multiply the original coordinates by the scale factor, that is

(1, - 1 ) → (4(1), 4(- 1)) → (4, - 4 )