In the picture below, line PQ is parallel to line RS, and the lines are cut by a transversal, line TU. The transversal is not
perpendicular to the parallel lines


Which of the following are supplementary interior angles?
OA. ZG and ZF
OB. ZE and ZF
OC. ZH and G
OD X and ZE

Answer:24

Step-by-step explanation:

a^2+b^2=c^2

c^2 has to be 26 because it is the hypotinuce. 10 could take the place of a^2 or b^2, it dose not matter.

a^2+10^2=26^2

a^2+100=676

subtract 100 from both sides

a^2=576

sqrt576

a=24

x=a

x=24

Step-by-step explanation:

use the law of sine :

a/sin(A) = b/sin(B) = c/sin(C)

and therefore also

sin(A)/a = sin(B)/b = sin(C)/c

where the lines and corresponding angles are always opposite of each other.

and remember, the sum of all angles in a triangle is always 180°.

and sin(x) = sin(180-x).

so, we have

sin(32)/43 = sin(B)/53

sin(B) = 53×sin(32)/43 = 0.653156302...

B = 40.77999844...° ≈ 41°

C = 180 - 32 - 40.77999844... = 107.2200016...° ≈ 107°

43/sin(32) = c/sin(107.2200016...)

c = 43×sin(107.2200016...)/sin(32) = 77.507143... ft

≈ 78 ft

B' = 180 - B = 139.2200016...° ≈ 139°

C' = 180 - 32 - 139.2200016... = 8.779998438...° ≈ 9°

43/sin(32) = c'/sin(8.779998438...)

c' = 43×sin(8.779998438...)/sin(32) = 12.38595519... ft

≈ 12 ft

Answer:

78.5%

Step-by-step explanation:

You take the area of the circle which is pie*r^2

and divide it by the area of the square

Answer:

0.5km

[tex]1km = 1000m \\ x = 50m \\ \\ 50m \times 1km = 1000 \times x \\ x = 0.5km[/tex]

Answer:

7 is 20

8 is 40

Step-by-step explanation:

Mean is the total of all the numbers divided by the amount of numbers

7. 20

8. 40

Add them all up divide by the total amount of them

To simulate the probability in a spinner divide the spinner into colors depending on the probability each color represents.

This word refers to the likelihood for an event to occur. Moreover, it is often expressed either as a fraction, a percentage, or a number.

In this case, each of the colors represents a probability:

Due to this, the best is to divide the spinner by colors and considering the percentanges of each color. For example 40% of the spinner should be red, while 15% should be orange.

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Answer:

1.) foxes
2.) lynxes
3.) bears
4.) minks
5.) squirrels

Step-by-step explanation: hope this helps ^^ pls mark me brainliest

Answer:

1,749

8,349

Step-by-step explanation:

We can multiply 6,600 by 1.265 to get 8,349. To get the percentage all we have to do is multiply 6,600 by .265 and get 1,749.

Hope this helps

Answer:

function

Step-by-step explanation:

For every value of 'x' ....there is only ONE value of 'y'

  so it IS a function

Answer:

the function has one x intercept is the correct answer of given statement

Answer:

6/8, 12/16, and so on. I wasn't sure how you wanted this question to be answered, but 3/4 is also 0.75

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

108/24 finds you the ratio from people surveyed to population

gets you 1:4

so for the 6 who prefer candies you sub it it

6:(4*6)

6:24

so its 24 = A :)

Answer:

[tex]\sf{12^{8} }[/tex]

Step-by-step explanation:

12 × 12 × 12 × 12 × 12 × 12 × 12 × 12 = [tex]\sf{12^{8} }[/tex]

[tex]\sf{12^{8} }[/tex] = 429,981,696

An easy way to think of this is that there are 12 is being multiplied by itselg 8 times (there are 8 12s). Similar to how squared numbers work...

Hope this helps! If you need further explanation, let me know!

- profparis

Answer:

12⁸

Step-by-step explanation:

Index forms are used to show how many times a number or variable has been multiplied by itself. 

Here, 12 is being multiplied by itself eight (8) times.

The index form would be:

12⁸

Hope this helps!

Answer:

-1

Step-by-step explanation:

Answer:A

Step-by-step explanation: im right im a god at answering these kind of equations.

The true statement is The function f(x)= tan(x) is an odd function because f(-x) = -f(x).

When x is substituted with -x, the odd functions are those that return their negative inverse. When f(-x) = -f(x), it follows that f(x) is an odd function (x). The trigonometric sine function, tangent function, cosecant function, etc. are a few examples of odd functions.

If f(x) = f(x), then the function is odd for all x. An odd function's graph will be symmetrical in all directions around the origin. Consider how unusual f(x) = x³ is. In other words, the function on one side of the x-axis is graphically symmetric about the origin or sign inverted with respect to the other side.

As, we know for the

even function: f(-x) = f(x)

odd function: f(-x)= -f(x)

and, using Trigonometry

tan x = sin x / cos x

Then,

f(-x) = sin (-x) / cos (-x)

      = -sin (x) / cos (x)

      = -tan (x)

      = -f(x)

Thus, tan (x) is an odd function.

Hence, the function f(x)= tan(x) is an odd function because f(-x) = -f(x).

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Use the Midpoint Rule Kelly travels 12m/s more than Chris does during the first ten seconds.

The midpoint rule is the rule that follows the median of a set of values which is the middle value when the values are written in numerical order.

From the table above, the midpoint for the velocity of Chris car = 81, while the midpoint for the velocity of Kelly's car = 93

Therefore, the Kelly's car travelled 93-81 = 12 m/s farther than Chris does during the first ten seconds.

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Answer:

123.15

Step-by-step explanation:

Answer:

79-83= 2

84-88 =4

89-93= 5

94-98=2

Step-by-step explanation:

put in order then you can just count them

Answer:

0.02 (the first option)

Step-by-step explanation:

This is because a proportion means there is division going on. If 5 out of the 250 students have red hair, this creates a fraction of [tex]\frac{5}{250}[/tex] and when you divide this out: 5 ÷ 250, you get 0.02

Answer:

a(5) = 1.080

a(10) =  0.393

a(20) =  0.122

Step-by-step explanation:

Take the derivative of velocity v(t) -> acceleration a(t)

v(t) -> a(t)

Quotient Rule: [tex]\frac{u*dv-du*v}{u^2}[/tex]

[tex]120*\frac{x}{5x+13}[/tex]

Make u= 5x+13 and v=x

[tex]120*\frac{x'*(5x+13)-x*(5x+13)'}{(5x+13)^2}\\\\120*\frac{1*(5x+13)-x*(5)}{(5x+13)^2}\\\\120*\frac{(5x+13)-5x}{(5x+13)^2}\\120*\frac{13}{(5x+13)^2} \\\\a(t)=\frac{1560}{(5x+13)^2}[/tex]

Now Subsitute your a(5) , a(10) , a(20). Also, round to 3 decimal place.

a(5) = 1.08033241 = 1.080

a(10) = 0.3930461073 = 0.393

a(20) = 0.122170826 = 0.122

Answer:

  (a) 1.080 ft/s²

  (b) 0.393 ft/s²

  (c) 0.122 ft/s²

Step-by-step explanation:

Acceleration is the derivative of velocity. You are being asked to differentiate the given function and evalutate the derivative at three different times. The function is a rational function, so the formula for the derivative of a ratio is applicable.

  (u/v)' = (vu' -uv')/v²

__

For the given velocity function, the accleration is ...

  v(t) = (120t)/(5t +13)

  a(t) = v'(t) = ((5t +13)(120) -(120t)(5))/(5t +13)² = 1560/(5t +13)²

At t=5, the acceleration is ...

  a(5) = 1560/(5·5 +13)² = 1560/1444 ≈ 1.080 . . . ft/s²

At t=10, the acceleration is ...

  a(10) = 1560/(5·10 +13)² = 1560/3969 ≈ 0.393 . . . ft/s²

At t=20, the acceleration is ...

  a(20) = 1560/(5·20 +13)² = 1560/12729 ≈ 0.122 . . . ft/s²

_____

Additional comment

Many graphing calculators are capable of finding the numerical value of the derivative of a function.

Answer:

The answer is 35/9

Step-by-step explanation:

[tex]J'= (-5,-6)[/tex]

[tex]K'=(-5,-1)[/tex]

[tex]L'=(-10,-2)[/tex]

See graph below.

[tex]Hope[/tex] [tex]this[/tex] [tex]helps![/tex] [tex]Have[/tex] [tex]a[/tex] [tex]good[/tex] [tex]day![/tex] [tex]:)[/tex]

Answer:

375 units²

Step-by-step explanation:

A = bh/2

A = (75)(10)/2

A = 750/2

A = 375

Answer:

1782 cm²

Step-by-step explanation:

the required surface area =1782

units= cm²

Answer:

Step-by-step explanation:

Remark

This is a proportion question a proportion is 2 equal ratios equated to each othe. If three parts are known the 4 can be found.

Givens

1 oz silver costs 16.08

1 oz  Gold costs 1195.80

Silver

16.08/1 = x / 5                Multiply both sides by 5

5*16.08 = 1*x            

80.4       =x

Gold

1195.80/1 = x/5

5 * 1195 = 1 * x

5979  = x

Answer

Difference = Cost of Gold - Cost of Silver

Difference = 5979 - 80.4

Answer:

the length of the rectangle is 50 ft

Step-by-step explanation:

A-LW

1,750=L(35)

divide both sides by 35

L= 50

Answer:

18

Step-by-step explanation:

The multiples of 9 are 9,18,27,36,45,54,63,...

The multiples of 6 are 6,12,18,24,30,36,42,...