Find the Missing side length for #8

Find The Missing Side Length For #8

Answers

Answer 1

Answer:

A

Step-by-step explanation:

Since the triangles are similar then the ratios of corresponding sides are equal, that is

[tex]\frac{LM}{QR}[/tex] = [tex]\frac{KL}{PQ}[/tex] , substitute values

[tex]\frac{x}{15}[/tex] = [tex]\frac{28}{21}[/tex] ( cross- multiply )

21x = 420 ( divide both sides by 21 )

x = 20 → A


Related Questions

what is the 7th term of the geometric sequence for 400, 200,100,....

Answers

Step-by-step explanation:

400,200,100,50,25,12.5, ...... 0.78125

Plz help I’ll appreciate it plz help

Answers

Answer:

x = 36

Step-by-step explanation:

Here, we want to get the value of x

As we can see on the markings, the base angle are equal

Thus, the other base angle is x too

mathematically, the sum of all the interior angles of a triangle = 180

thus;

3x + x + x = 180

5x = 180

x = 180/5

x = 36

what percent of 18 is 24

SIDE NOTE:its not 75%

Answers

Answer is 75 the output value is 18
24 is around 133% of 18

Heather works 40 hours a week and she earns $11.50 per hour. When Heather works over 40 hours, her pay is 1.5 times her hourly pay. How much does Heather earn if she works 46 hours in one week?

Answers

Answer:

563.5

Step-by-step explanation:

it's pretty easy ngl

Answer:

563.5

Step-by-step explanation:

Please answer correctly !!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!

Answers

Answer: c

Step-by-step explanation: a parrelagram has each side parrel

Answer:

B. - it has four right angles

The table of ordered pairs shows the coordinates of the two points on the
graph of a function. Which equation describes the function?

Answers

Answer: i think its c

Step-by-step explanation:

PLEASE HELP, 30 points AND brainliest if I get an explanation :)


Find the values of the ratios (red to blue) of the perimeters and areas of the similar figures. Write the ratios as fractions in simplest form.

Answers

Answer:

Please check the explanation.

Step-by-step explanation:

BLUE PENTAGON

The blue shape represents the Pentagon

The length of the side a = 7

As there are 5 sides.

Thus,

The Perimeter of the Blue Pentagon = P = 5a = 5(7) = 35

Using the formula to determine the area of the Pentagon

 [tex]A=\frac{1}{4}\sqrt{5\left(5+2\sqrt{5}\right)}a^2\:\:\:\:\:\:\:\:\:\:\:\:\:[/tex]

[tex]A=\frac{1}{4}\sqrt{5\left(5+2\sqrt{5}\right)}\left(7\right)^2\:\:\:\:\:\:[/tex]

[tex]A\approx 84.3\:\:\:[/tex]

Thus,

The Area of the Blue Pentagon = [tex]A\approx 84.3\:\:\:[/tex]

RED PENTAGON

The red shape represents the Pentagon

The length of the side a = 4

As there are 5 sides.

Thus,

The Perimeter of the Red Pentagon = P = 5a = 5(4) = 20

Using the formula to determine the area of the Pentagon

 [tex]A=\frac{1}{4}\sqrt{5\left(5+2\sqrt{5}\right)}a^2\:\:\:\:\:\:\:\:\:\:\:\:\:[/tex]

[tex]A=\frac{1}{4}\sqrt{5\left(5+2\sqrt{5}\right)}\left(4\right)^2\:\:\:\:\:\:[/tex]

[tex]\:A\approx 27.5[/tex]

The Area of the Red Pentagon = [tex]\:A\approx 27.5[/tex]

Conclusion:

The Perimeter of the Blue Pentagon =  35

The Perimeter of the Red Pentagon = 20

Thus, the ratio of the perimeter is: 35/20 = 7/4

The Area of the Blue Pentagon =  84.3 = 843/10

The Area of the Red Pentagon = 27.5 = 275/10

Thus, the ratio of the Area is:

 [tex]\frac{\frac{843}{10}}{\frac{275}{10}}=\frac{843}{275}[/tex]

what is 283.192 rounded to the nearest hundredth

Answers

Answer:

283.19

Step-by-step explanation:

Find the number in the hundredth place  9  and look one place to the right for the rounding digit  2 . Round up if this number is greater than or equal to  5

and round down if it is less than  5 .

Answer:

283.19

Step-by-step explanation:

So as you should already know, the 2 is the hundreds, 8 is the tenths, and 3 is the ones, but you may not know the ones after it. The number after the little dot (decimal) is a 1 and is called the tenths and the one after is the hundredths and then thousandths and so on. You want to know the hundredths so just keep all of the numbers until you get to the number that is 2 places after the decimal and look at the last number and if its below 5, keep the hundredths the same but if its 5 or over make the hundredths 1 higher. for example 3 stays the same because the next number is below 5. This is how you do rounding with decimals! Please give Brainliest if this helps!

Angela works 18 hours a week for 12 weeks in the summer at the local swimming pool as a life guard. She earns $13 per hour. Her employer takes 15 percent out of her check for federal income tax withholding and 6.2 percent for Social Security and 1.45 percent for Medicare. She will receive 12 paychecks, one for each week she works. Calculate Angela’s weekly gross pay ​

Answers

Answer:

We know that per week, she works 18 hours.

For each of these hours, she earns $13.

Then in one week, she earns a total of:

18*$13 = $234

This is her gross pay (the pay before the taxes apply)

Now we know that her employer takes:

15% for federal income tax withholding.

6.2% for Social Security

1.45% for Medicare.

If we add all of these, we get:

15% + 6.2% + 1.45% = 22.65%

This means that 22.65% of $234, is taken by her employer to pay taxes and such.

Then the amount left is:

M = $234 - ( 22.65%/100%)*$234 = $234 - 0.2265*$234 = $180.999

And we can round the last digit to $181 (because we can not have a 0.009 of a cent)

This means that her weekly net pay is $181

And she works for 12 weeks, this means that in total, she will earn:

12*$181 = $2,172

How do you know square root c is a right angle?

Answers

Answer:

angle c is right angle because,

it is proved by Pythagoras theorem....

now,we check that

[tex] {10 }^{2} = {8}^{2} + {6}^{2} \\ 100 = 6 + 36 \\ 100 = 100 \\ lhs = rhs \\ hence \: \: proved \: angle \: c \: is \: right \: angle[/tex]

Explore: Solving Two-Step Equations Solve the two-step equation. -9x + 0.4 = 4 Which operation must be performed to move all the constants to the right side of the equation? Then, which operation must be performed to isolate the variable? The solution to the equation is x = .

Answers

Answer:

x = -0.4

Step-by-step explanation:

Given:

-9x + 0.4 = 4

To move all constant to the right side of the equation, perform subtraction operation

That is, subtract 0.4 from both sides of the equation

-9x + 0.4 - 0.4 = 4 - 0.4

-9x = 4 - 0.4

-9x = 3.6

Perform division operation to isolate the variable

That is, divide both sides by -9

-9x / -9 = 3.6 / -9

x = -0.4

Answer:

1 Subtract 0.4

2 Divide by -9 on both sides

3 -0.4

Step-by-step explanation:

May I please have brainliest

Name
4.
Banl
two
Line m is the perpendicular bisector of AB and
intersects the segment at point P. Which
statement is true?
(A)
© AP = 2 AB
PA & BP
(В)
AB = AP
BP = 2 AB

Answers

Answer:

a)

Step-by-step explanation:

PA ≅ BP

Perpendicular bisector means it divides the line into two equal part at 90°

What is the actual length of the microchip?

Answers

Answer:

12 millimeters is the actual length of a microchip

how does algebra work im not very good at it

Answers

It doesn’t work you simply make assumptions and trust what an old pale man tells you to do due to our failing school system hierarchy taht damages our mental capabilities

I want to know how to expand x(4 - 3.4y)

Answers

X(4-3.4y)
= 4x - 3.4xy

Answer:

X(4-3.4y)

= 4x - 3.4xy

Step-by-step explanation:

2 consecutive numbers that add up to 719

Answers

Answer:

359+360

Step-by-step explanation:

Answer:

359+360

Step-by-step explanation:

Here we will use algebra to find three consecutive integers whose sum is 719. We start by assigning X to the first integer. Since they are consecutive, it means that the 2nd number will be X + 1 and the 3rd number will be X + 2 and they should all add up to 719. Therefore, you can write the equation as follows:

(X) + (X + 1) + (X + 2) = 719

The drama club spent $450 on tickets and buses for a field trip to the theater. 15 members of the drama club attended the field trip. The total cost for the buses was $60. What was the cost of each theater ticket? Pick the correct equation and then solve for the cost of each theater ticket.

Answers

Answer: 525

Step-by-step explanation:

450+15+60=525

Answer:

The cost of each ticket is $30.

Step-by-step explanation:

$450 is the total cost, so to get individual ticket prices you need to divide by the total number of drama club members.

450 ÷ 15 = 30

6 cm
8 cm
what’s the hypotenuse

Answers

Answer:

10 cm

Step-by-step explanation:

This is the Pythagorean triple 3, 4, 5, in which the two legs are multiples of 3 and 4, while the hypotenuse is a multiple of 5. Observing the given numbers it can be deduced that the second multiple of 5 is what is needed to complete this triple, therefor the hypotenuse must be 10 cm.

What is the value of h(-2) if h(x)=4x^2-x+9?

Answers

h(-2) = 4(-2x)^2-(-2x)+ 9
= 4(4x^2)+2x+9 = 16x^2 + 2x + 9

Answer:

16x² + 2x + 9

Step-by-step explanation:

To evaluate h(- 2x) , substitute x = - 2x into h(x), that is

h(- 2x)

= 4(- 2x)² - (- 2x) + 9

= 4(4x²) + 2x + 9

= 16x² + 2x + 9

60% of what number is 55?​

Answers

Answer:

33

Step-by-step explanation:

Answer:

[tex]let \: that \: number \: be \: x \\ 60\% \times x = 55 \\ \frac{60x}{100} = 55 \\ 60x = (55 \times 100) \\ 60x = 5500 \\ x = \frac{5500}{60} \\ x = \frac{275}{3} \\ the \: number \: is \: \frac{275}{3} [/tex]

Priya and Han both factored the number 80. Priya says they should both get the same answer even if they started with different factor pairs. Han disagrees. Who is correct

Answers

Answer:

Priya is right.

Step-by-step explanation:

The factors of 80 is 1, 2, 4, 5, 8, 10, 16, 20, 40, 80

The factor pairs of 80 are

1 x 80, 2 x 40, 4 x 20, 5 x 16 and 8 x 10

If Priya picks 2 x 40, then it's prime factorisation will be, 2 x 2 x 2 x 2 x 5 = 2⁴ x 5.

If Han picks, 5 x 16 = 5 x 2 x 2 x 2 x 2 = 5 x 2⁴ = 2⁴ x 5. This is the same.

Therefore, Priya is correct, because the factors of 80 are always the same, therefore which ever you start with, you'd always get the same answer.

Line s represented by the following equation x+y=2

Answers

Answer:

Step-by-step explanation:

True or False.
If

F(x) = ∫ -23x sin(t) dt

then the second fundamental theorem of calculus can be used to evaluate F '(x) as follows

F '(x) = sin (3x)

Answers

Answer:

False.

General Formulas and Concepts:

Calculus

Differentiation

DerivativesDerivative Notation

Derivative Property [Multiplied Constant]:                                                           [tex]\displaystyle \frac{d}{dx} [cf(x)] = c \cdot f'(x)[/tex]

Basic Power Rule:

f(x) = cxⁿf’(x) = c·nxⁿ⁻¹

Derivative Rule [Chain Rule]:                                                                                 [tex]\displaystyle \frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)[/tex]

Integration

IntegralsDefinite IntegralsIntegration Constant C

Integration Rule [Fundamental Theorem of Calculus 2]:                                     [tex]\displaystyle \frac{d}{dx}[\int\limits^x_a {f(t)} \, dt] = f(x)[/tex]

Step-by-step explanation:

Step 1: Define

Identify

[tex]\displaystyle F(x) = \int\limits^{3x}_{-2} {sin(t)} \, dt[/tex]

Step 2: Differentiate

Chain Rule:                                                                                                     [tex]\displaystyle F'(x) = \frac{d}{dx}[\int\limits^{3x}_{-2} {sin(t)} \, dt] \cdot \frac{d}{dx}[3x][/tex]Rewrite [Derivative Property - Multiplied Constant]:                                   [tex]\displaystyle F'(x) = \frac{d}{dx}[\int\limits^{3x}_{-2} {sin(t)} \, dt] \cdot 3\frac{d}{dx}[x][/tex]Basic Power Rule:                                                                                         [tex]\displaystyle F'(x) = \frac{d}{dx}[\int\limits^{3x}_{-2} {sin(t)} \, dt] \cdot 3x^{1 - 1}[/tex]Simplify:                                                                                                         [tex]\displaystyle F'(x) = 3\frac{d}{dx}[\int\limits^{3x}_{-2} {sin(t)} \, dt][/tex]Integration Rule [Fundamental Theorem of Calculus 2]:                           [tex]\displaystyle F'(x) = 3sin(3x)[/tex]

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Integration

Book: College Calculus 10e

Find the value of x

A.55

B.60

C.85

D.120

Answers

Answer:

A

[tex]x + 125° = 180° \: \: (angles \: on \: straight \: line) \\ x = (180 - 125)° \\ x = 55°[/tex]

Evaluate 7b-b when b=4
Thank you!!

Answers

the answer is 23 !! hope this helps

Answer:

The correct answer is 24.

Step-by-step explanation:


3 There are 8 teams in the
recreational soccer league. Each
team is comprised of 9 fourth-
grade students and 5 fifth-grade
students. Which expression could
be used to find the total number of
students in the soccer league?
A. (8 + 9) * 5 =
B. (8 x 9) + 5 =
C. 8 + (9x5) =
D. 8 (9 + 5) =

Answers

Answer:

On each team there is the same number of teammates, the answer is D. 8 (9 + 5).

Step-by-step explanation:

If you add up the amount of teammates then multiply that by the number of teams.

Therefore, D. 8 (9 + 5) is the answer.

The library is 6 miles east of the city hall. The mall is 10 miles west of the library. How far and in what direction is the mall from the city hall? A. 16 miles west B. 16 miles east C. 4 miles west D. 4 miles east

Answers

Answer:

b

Step-by-step explanation:

Answer:

4 miles west

Step-by-step explanation:

What is the solution set for the inequality.

t - 10 ≥ 7

A

{18, 19, 20, 21}

B

{17, 3, 14, 25}

C

{17, 20, 30, 44}

D

{8, 11, 15, 17}

Answers

Hope you get the right answer

Step-by-step explanation:

1 2 3 4 5 6 7 8 9 10
10 + 10= ?

Answers

Answer:

I'm confused what you are asking... if you are looking for the answer to 10 + 10 it's 20 ♡♡

10+10=20 but I don’t know if it’s right bc I don’t know what’s the question

Answer the viable point to please! But Answer Both!!

Answers

I’m pretty sure it z due to the equator being so close to the moon correct me if I’m wrong
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