Rotation: 180° about the origin

Given -

To find -

Concept -

Whenever two parallel lines are cut by a transversal, an interesting relationship exists between the two interior angles on the same side of the transversal. These two interior angles are supplementary angles. Hence, according to the figure l and m are two parallel lines and t is the transversal intersecting them then ∠1 + ∠2 = 180°.

Solution -

[tex]\rightarrow\sf{(13x+24)^{ \circ}+(5x-6)^{ \circ}=180^{ \circ}}[/tex]

[tex]\rightarrow\sf{13x+5x+24-6=180}[/tex]

[tex]\rightarrow\sf{18x+18=180}[/tex]

[tex]\rightarrow\sf{18x+18=180}[/tex]

[tex]\rightarrow\sf{18(x+1)=180}[/tex]

[tex]\rightarrow\sf{x+1=\frac{180}{18}}[/tex]

[tex]\rightarrow\sf{x+1=10}[/tex]

[tex]\rightarrow\sf{x=10-1}[/tex]

[tex]\rightarrow\boxed{\bf{x=9}}[/tex]

m∠2 = (5x-6)° = {5(9) - 6}° = {45 - 6}°= 39°

Henceforth, m∠2 = 39°

Answer:

7%

Step-by-step explanation:

First, let's add the 20 dogs and 15 cats together to find the total number of animals adopted

20 + 15 = 35 animals adopted

We cand do 35 ÷ 200 to find how much of a percent 35 is of 500

35 / 500 = 0.07

Multiply this number by 100 to get a percent

0.07 × 100% = 7%

7% of the animals

Answer:

9

Step-by-step explanation:

2 tickets = $14

so

1 ticket = $7

$63 divided by $7 = 9

Hope this helped!

- profparis

Answer:

Step-by-step explanation:

Remark

These two angles are supplementary. They make up the horizontal line. Supplementary angles add to 180 degrees.

Equation

x + 134 = 180

Solution and Answer

x + 134 = 180                    Subtract 134 from both sides

x + 134 - 134 = 180-134    Combine

Answer: x = 46

Answer:

7 in thick

Step-by-step explanation:

There are two of the 2 1/4 books; and one of the 2 1/2 in. thick book.

2 1/4 + 2 1 /4 = 4 1/2 + 2 1 /2 = 7 in. thick

Answer:

4/16

Step-by-step explanation:

pls give me brainliest

i know you need help urgen for this but this is just for a challenge i have to answer 5 questions by the end of today! im sorry if i got your hopes down on getting and answer but good luck!

Answer:

42 and 41

Step-by-step explanation:

So how I did it tbh I went everywere with this but I went backwards because the how you find the mean of something is adding all the values and then dividing them by the number of values(40+41+42+45+45+48+54=315, 315divided by 7=45) but anyway 45x7(because multiplication is the opposite of division)that equals 315-232 which is the answer to 40+45+48+54+45 which were the numbers that were given

Answer: 4 in.

Multiply 2*2 = 4

Your answer is 4 in.

Hope this helps! :)

Brainliest please.

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

In order to find the diameter, we need to multiply the radius times 2, because the radius is one half ([tex]\displaystyle\frac{1}{2} }[/tex]) of the diameter.

We are given that the radius is:-

[tex]\bigstar{2~in}[/tex]

Multiply it times 2:-

[tex]\bigstar{4~in}[/tex]

Hence, the diameter is equal to:-

[tex]\bigstar{{\boxed{\pmb{4~ inches}}[/tex]

[Enter 4]

diameter: [tex]\boxed{4}[/tex] in.

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

Hope everything is clear; if you need any clarification/explanation, kindly let me know, and I will comment and/or edit my answer :)

Answer:

No

Step-by-step explanation:

Since gravity falls at a rate of 16 feet per second, t= number of seconds.

if t=2 seconds, you would have the equation 16*2 = fall amount

16*2 =32. Since it is less than 60 feet, the backpack won't hit the ground in 2 seconds

Answer:

[tex]3300ft^{3}[/tex]

Step-by-step explanation:

For this problem it is easier to split it up into two shapes. One being the big box(1) on top and the other being the small box(2) below it.

Volume of box 1:

[tex]Volume = length*width*height[/tex]

[tex]Volume of Box 1 = 25ft*(20+4)ft*5ft = 3000ft^{3}[/tex]

Volume of box 2:

[tex]Volume = length*width*height[/tex]

[tex]Volume of Box 2 = 25ft*4ft*(8-5)ft=300ft^{3}[/tex]

Total volume:

[tex]Total Volume = Volume of Box 1 + Volume of Box 2 = 3000ft^{3}+300ft^{3} = 3300ft^{3}[/tex]

The volume of the figure, by splitting it into two cuboids comes to be 3300 ft³.

Let us split the given figure into two cuboids

The dimensions of one cuboid = 20 ft*25 ft *5ft

The dimension of the other cuboid = 4 ft*25ft * 8ft

So, the volume of the figure will be the sum of the volume of both the cuboids.

The volume of a cuboid is the product of its three dimensions i.e. length, breadth, and height.

So, the volume of the cuboid with dimensions 20 ft*25 ft *5ft

= 20*25*5

=2500 ft³.

The volume of the cuboid with dimensions  4 ft*25ft * 8ft

=4*25*8

=800 ft³.

So, the volume of the figure = 2500 + 800 =3300 ft³.

Therefore, the volume of the figure, by splitting it into two cuboids comes to be 3300 ft³.

To get more about cuboids visit:

https://brainly.com/question/22694657

Answer:

you can use the website called "Force Calculator" it will give you the answer, just enter the mass and the acceleration <3 :) good luck

Step-by-step explanation:

Answer:

This line has a slope of 0, with the equation being y = -4

Step-by-step explanation:

  Slope can be found with change in y over change in x

[tex]\frac{-4--4}{-2--3} =\frac{-4+4}{-2+3}=\frac{0}{1} =0[/tex]

       Note: We can tell by just looking at the line it will have a slope of 0. A line straight up and down vertically is one with an undefined slope, but a horizontal line has a slope of 0 since there is no incline/decline.

Answer:

6

Step-by-step explanation:

Using the Triangle Inequality Theorem, we can derive the range in which the third side, x. If you are having trouble with the theorem, it is that the sum of any two sides must be larger than the other side.

4 + 9 > x => x < 13

x + 4 > 9 => x > 5

x + 9 > 4 => x > -5

Combining all three equations gives us 5 < x < 13

Since the number is a whole number, the smallest whole number that satisfies the range is 6. The answer is 6.

Hope I helped!

Answer:

A

Step-by-step explanation:

215.80 + 215.80 = 431.60

36.50 + 36.50  = 73

431.60 + 73 = 504.60

2560 - 504.60 = 2055.40

The correct statement is:

Gabrielle and Rob have $2,055.40 of the $2,560 left because 2,560 − 2(215.80) − 2(36.50) is equal to 2,055.4.

Option A is the correct answer.

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

Gabrielle and Rob's total earnings for the week are $2,560.

If Gabrielle buys 2 train tickets that cost $215.80 each.

She spends a total of:

\$431.60 (2 x 215.80).

If Rob buys 2 suitcases that cost $36.50 each, he spends a total of:

$73 (2 x 36.50).

To find out how much money they have left, we need to subtract the amount spent on tickets and suitcases from their total earnings:

$2,560 - $431.60 - $73

= $2,055.40

Therefore,

The correct statement is:

Gabrielle and Rob have $2,055.40 of the $2,560 left because 2,560 − 2(215.80) − 2(36.50) is equal to 2,055.4.

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ3

Answer:

90 bro

Step-by-step explanation:

35+55= 90

90+90=180

180 = every triangle

or

180-35-55=90

good luck

Answer:

2 real solutions

Step-by-step explanation:

d>0: two real solutions

D=0 one real solution

D<0: two complex (imaginary) solutions

Answer:

Step-by-step explanation:

This is a quadratic equation.  All quadratic equations have two solutions.  In this case, with d > 0, the two solutions / roots are real, one positive and one negative.  To see this, take the square root of both sides of x² = d.

Answer: 50

    By utilizing our knowledge of the PEMDAS solving method, negative powers, and fraction-style equations, this problem can be solved with a simple step-by-step procedure

Set up equation                                                            6 / [3 * 5^(-2)]

Rewrite power                                                              6 / [3 * (5 * 5)]

Simplify power                                                              6 / [3 * (25)]

Invert power                                                                  6(25) / 3

Set up equation                                                            6(25) / 3

Simplify                                                                          150 / 3

Simplify (using common denominator)                        50 / 1

Rewrite in simplest form                                               =50

Answer: 50

Answer:

4/12

Step-by-step explanation:

rate of change formula

f(b) - f(a) / b-a

f (5)- f (1) / 12-0

5-1 / 12-0

4/12

Answer:

C is the answers for the question

Step-by-step explanation:

please mark me as brainlest

Answer:

3.5

Step-by-step explanation:

2 5/8 mi=21/8mi 3/12min=7/2min 7/2 as a decimal is 3.5

Answer:

[14] 139

[15] 90

[16] 41

[17] 49

[18] 139

[19] 131

Step-by-step explanation:

[14] Since m ∠ CEB is vertical with m ∠ AED = 139

[15] Knowing that m ∠FBD = 90 degree then m ∠ CEF = 90 degree

[16] Since m ∠ DEB is vertical to m ∠ADC Thus answer = 41

Note: vertical angles are angles opposite each other where two lines cross.

[17] Since m ∠ FED = 90 degree and m ∠ DEB = 41 then 90 - 41 = 49

[18] To Find m ∠CEB we have to subtract from m ∠ DEB

180 - 41 = 139

[19] Knowing that m ∠ FED = 90 degree and m ∠DEB = 41

Then m ∠ AEF =  90 +41=131

~Lenvy~

Answer:

1=67

2=142

3=69

4=90

5=138

Answer:

27720cm

Step-by-step explanation:

to find area, we multiply all the widths.

11×14×20×9= 27720cm

Answer:

235 square centimeters

Step-by-step explanation:

Split The Shape Into 2.

Shape 1: 11 cm by 14 cm

11 cm * 14 cm = 154 square centimeters

Shape 2: (20 - 11) cm by 9 cm

(20 - 11) cm * 9 cm = 9 cm * 9 cm = 81 square centimeters

Original Shape = Shape 1 + Shape 2

154 + 81 = 235 square centimeters

Answer:

$40

Step-by-step explanation:

Answer:

[tex]2^9[/tex]

Step-by-step explanation:

Since there are nine 2s being multiplied by each other, we can represent this as [tex]2^9[/tex].

Answer:

2^9

Step-by-step explanation:

there are 9 2's and since it has to be in exponential form its 2^9

Answer:

120 cubes are required.........

Answer:

120 1/3 cubes

Step-by-step explanation:

you have 5 thirds so 5 and 4 thirds so 4 and 2 wholes which is 6 thirds so you would multilpy them and the equation would be 5x4x6 and that equals 120.

Answer:

I think that the answer is 1/6