If AD = 21, BF = 8, and DF = 8, what is the value of AB?

Answers

Answer 1

Answer:

AB would be 21

Step-by-step explanation:

Sides BF and DF equal 8, because triangles BFC and DFC are both right triangles and they have two equal sides (hypotenuses are equal and both triangles share side FC), triangles BFC and DFC are congruent triangles, which means side DC is equal to BC. Since right triangles ADC and ABC share side AC and BC = DC, they are congruent triangles, meaning AB will equal AD, which is 21.

Related Questions

Which of these strategies will you use to eliminate a variable in the system
Explain your answer:
-x+6y=8
7x-y=-2
a. Multiply the bottom equation by 6, then subtract the bottom equation from the
top equation.
b. Add the equations.
c. Multiply the top equation by 7, then add the equations.

Answers

Answer:

Step-by-step explanation:h

answer C

to eliminate x, multiply the top equation by 7 then add the equations

it is not A because if the bottom equation is multiplied by 6, the y’s will not cancel out if the bottom is subtracted from the top (since 6x - -6x is 12 not 0)

it is not B because adding the equations will not eliminate either variable

doing option C eliminates x since -7x + 7x is 0

What is the correct answer?

Answers

I believe the answer is 6, because you can add 6 + 6 to get 13, and I can see that 12 is in the decimal place, along with 30, 3 can be added twice to get 6, and since 30 has 3 in it, and can be added to 6 with 3's, that makes the answer 6.

1. If f(x) = 5x4 tan-1x, find f '(x). ( 4 points)

Answers

Answer:

what are the answer choices

Step-by-step explanation:

Ben flew his small airplane 660 km in 6 hours flying with the wind. He flew 350 km against the
wind in 7 hours. Find the rate at which he flew in still air and the rate of the wind.

Answers

Answer:

r = 80 KM/HR

w= 30 CM/HR

Step-by-step explanation:

answer each question with work and reasoning

Answers

Answer:

Step-by-step explanation:

2 + 3 = 6

6 x 10 = 30

30 snowmen

Owen has 50% more cash than Sandra, and Sandra has 20% more cash than Amada. How much more cash than Amada does Owen have, if Amada has $4.35?

Answers

Answer:

39.15 :)

Step-by-step explanation:

there are 38 students involved in planning the homecoming parade of these students 15 are boys and 23 are girls if two members are selected to lead the parade what is the probability that both are girls

Answers

Answer:

about 65%

I already answered this

Evan sells bicycles in his store. He marks up the prices by 40% of what he pays for them. If he
sells a gold bicycle for $180.49. how much did he buy it for?

Answers

Answer:

Step-by-step explanation:

1.40x = 180.49

x= $128.92

8x – 3y = -21
y = 5x + 7

Answers

8x-3(5x+7)=-21
8x-15x-21=-21
-7x=0
x=0
y=5(0)+7
y=0+7
y=7
(0,7)

Use the polling tool to respond to the question below.
Gina typed 2,700 words. She types 45 words per minute. How long did she type for?
HELP PLZZ

Answers

Answer:

She typed for 60 minutes (1 hour).

Step-by-step explanation:

Do 2,700 divided by 45 to get your answer.

2,700 ÷ 45 = 60

She typed for 60 minutes (1 hour).

2. Students going on a class trip each put 3 suitcases on the tour bus.
The bus driver put 2 suitcases on the bus. There were 68 suitcases
on the bus. How many students, s, were on the bus?

Answers

22 because if you take the total number 68 subtract it by 2 for the bus driver then you get 66 divide it by 3 and you get your answer 22

The answer here would be 22 hope this helps

What is 3x+6-x+4 if x is 10?

Answers

Substituting x as 10:

3(10) + 6 - 10 + 4

30 + 6 - 10 + 4

Answer:

30 is the answer

Step-by-step explanation:

3x + 6-x + 4

3(10) + 6 -10 + 4

30 + -4 + 4

30 + 0

=30

Find the value of x... Please look at the attachment below

Answers

x=75 since it is opposite to the 105 angle.

Estimate the unit rate to the nearest whole number.

74.75

Answers

Answer:

umm.... 75? id say that sooo yea

Answer:

The answer is $75.00

Step-by-step explanation:

0.75 is above fifty, so you round up. Which gets you to 75

The account title are:

No journal entry required, cash, accounts receivable, office supplies, prepaid rent, prepaid insurance, office equipment, accumulated depreciation - office equipment, accounts payable, notes payable, unearned revenue, common stock, dividends, services revenue, utilities expense.

Please help me

Answers

Answer:

Cash 107000

Office equipment 30500

Common stock 137500

What is the area of the triangle below?
8 in.
17 in.

Answers

Answer:

Step-by-step explanation:

Answer:

68 In

8*17- now, this would give you the area of a rectangle or square. but, since this is half of a rectangle or square, you divide that answer in half, giving you your final answer of 68 square inches as the area

Step-by-step explanation:

please help me with this please

Answers

Answer:

4 feet

Step-by-step explanation:

Let x be the height of the tower when finished.

We have been given that Priya takes a break when the tower is 2 and 1/2 feet tall, which is 5/8 of the height of the tower she wants to build.

This means that 5/8 of x equals 2 and 1/2. Let us represent this information in an equation.

5/8*x=2 and 1/2

Let us convert our given mixed fraction into an improper fraction.

5/8*x=5/2

Let us multiply both sides of our equation by 8/5.

8/5*5/8*x=5/2*8/5

x=8/2

x=4

Find the value of 2425÷45. Show your reasoning. fractions

Answers

Answer:

Step-by-step explanation:

53.8

Answer:53.8

Hope this helps you

how would you write the fraction 5/2 as a division expression?
a. 5÷ 1/2
b. 2÷5
c. 1/2 ÷5
d. 5÷2

Answers

the answer would be 5 divided by 2

1. Write an equation of a function with each domain:
a. [2,)
b. (-0, 0)
C. (2, 0 )

Answers

The anwser to this would be C

If the value of a quarter of a kilogram is ₹ 40, how much money will be the value of 100 grams?

Answers

Answer:

₹16

Step-by-step explanation:

1/4 kg = ₹ 40

1kg = 40×4 = ₹160

1000g = 1kg

100g = 100/1000 kg

= 0.1kg

0.1kg= 0.1×160 = ₹16

First convert 40 grams to kg. A kilogram is 1000 grams, so you divide 40 by 1000 which is .04 kg.

40 grams * 1 kg / 1000 grams = .04 kg

(Note here that 1 kg = 1000 grams meaning that 1 kg / 1000 grams = 1; anything divided by itself is one; therefore, when I multiply by 1 kg / 1000 grams I’m not changing the value, only the units.)

Then you simply multiply the price per kg by the number of kg giving 6.6.

.04 kg * 165 / 1 kg = 6.6

(Oranges are different. You can’t compare apples to oranges.)

Find the new amount given the original amount and the percent of change.
340 pages; 50% decrease *

Answers

Answer: 160

Step-by-step explanation:

A farmer planted corn in a square field. One side of the field measures 33 yards. What is the area of the cornfield?

Answers

Answer:

the answer is 1,089 since 33x33=1,089.

Step-by-step explanation:

A= x^2 x being the length of one of the sides, since all sides are the same.

1,089 is the area of the cornfield

Jeremy's pizza was cut into 6 equal slices and he ate 4 pieces. Zachary's pizza was cut into 12 equal slices. How many pieces does Zachary need to eat so that he and Jeremy have eaten an equal amount? prove it with a picture

Answers

Answer:

8 pieces

Step-by-step explanation:

4/6 x 2 = 8/12

If Zachary wanted to eat the same amount. He would eat 8 pieces.

Zachary will have to eat 8 peices of pizza

Step-by-step explanation:

If you take Jeremys pizza and separate the 4 pieces he were to eat and the two he didn't and cut all of them in half then you would see there are 12 peices in all and that would make the 4 he were to eat 8 slices instead of just 4

Estimate the difference. 9,136 - 3,572

Answers

Answer:

5564

Step-by-step explanation:

Answer:

5560

Step-by-step explanation:

What is Steve's mean speed if he bikes 55.5 miles in 3.7 hours? Round your answer to two decimal places, if necessary.

Answers

Answer:

15m/s

Step-by-step explanation:

Given data

DIstance= 55.5 miles

time= 3.7 hours

Required

the speed

We know that

Speed= distance/time

Substitute

Speed= 55.5/3.7

Speed= 15 m/s

Hence the speed is 15m/s

Is (2, 5) a solution to this system of equations? y = x + 3 y = 7x + 6

Answers

Answer:

No is not the solution to that system

Step-by-step explanation:

A blogger has 400 subscribers to her blog in January. The number of subscribers has grown by a factor of 1.5 every month since then. Write a sequence to represent the number of subscribers in the 3 months that followed.

Answers

Answer:

Since a blogger has 400 subscribers to her blog in January, and the number of subscribers has grown by a factor of 1.5 every month since the, to write a sequence to represent the number of subscribers in the 3 months that followed, the following reasoning has to be made:

January: 400 subscribers

February: 400 x 1.5 = 600 subscribers

March: 600 x 1.5 = 900 subscribers

April: 900 x 1.5 = 1,350 subscribers

The sequence to represent the number of subscribers in the 3 months that followed are :

First month = 600 subscribers

Second month = 900 subscribers

Third month = 1350 subscribers

The blogger has 400 subscriber to her blog in January.

The number of subscriber has grown by a factor of 1.5 every month since then.

Therefore, the sequence to represent the number of subscribers in the 3 months that followed can be calculated below

January Subscribers = 400

February Subscribers = 1.5 × 400 = 600

March Subscribers = 1.5 × 600 = 900

April subscribers = 1.5 × 900 = 1350

learn more on sequence here:https://brainly.com/question/21324508?referrer=searchResults

10 points eBookReferencesCheck my workCheck My Work button is now enabled1Item 9 Consider the following observations of a series: Year 1 Year 2 Year 3 Year 4 100 120 160 170 a. Calculate the growth rates for Year 1–Year 2, Year 2–Year 3, and Year 3–Year 4. (Round your answers to 4 decimal places.) b. Calculate the average growth rate. (Enter your answer as a percentage, rounded to 2 decimal places, using intermediate calculations rounded to at least 4 decimal places.)

Answers

Answer:

[tex]Growth\ Rate = 0.2000[/tex] --- Year 1 to 2

[tex]Growth\ Rate = 0.3333[/tex] --- Year 2 to 3

[tex]Growth\ Rate = 0.0625[/tex] --- Year 3 to 4

[tex]Average\ Growth\ Rate = 19.86\%[/tex]

Step-by-step explanation:

Given

[tex]\begin{array}{cc}{Year\ 1} & {100} & {Year\ 2} & {120} & {Year\ 3} & {160} & {Year\ 4} & {170} \ \end{array}[/tex]

Solving (a): Growth Rates between each year

For Year 1 to 2.

[tex]Growth\ Rate = \frac{Year\ 2 - Year\ 1}{Year\ 1}[/tex]

[tex]Growth\ Rate = \frac{120-100}{100}[/tex]

[tex]Growth\ Rate = \frac{20}{100}[/tex]

[tex]Growth\ Rate = 0.2000[/tex]

For Year 2 to 3.

[tex]Growth\ Rate = \frac{Year\ 3 - Year\ 2}{Year\ 2}[/tex]

[tex]Growth\ Rate = \frac{160-120}{120}[/tex]

[tex]Growth\ Rate = \frac{40}{120}[/tex]

[tex]Growth\ Rate = 0.3333[/tex]

For Year 3 to 4.

[tex]Growth\ Rate = \frac{Year\ 4 - Year\ 3}{Year\ 3}[/tex]

[tex]Growth\ Rate = \frac{170-160}{160}[/tex]

[tex]Growth\ Rate = \frac{10}{160}[/tex]

[tex]Growth\ Rate = 0.0625[/tex]

Solving (b): The average growth rate

This is calculated as by calculating the mean value of the growth rates in (a)

[tex]Average\ Growth\ Rate = \frac{1}{3}(0.2000 + 0.3333 + 0.0625)[/tex]

[tex]Average\ Growth\ Rate = \frac{1}{3}(0.5958)[/tex]

[tex]Average\ Growth\ Rate = \frac{1}{3}*0.5958[/tex]

[tex]Average\ Growth\ Rate = 0.1986[/tex]

Convert to percentage

[tex]Average\ Growth\ Rate = 0.1986 * 100\%[/tex]

[tex]Average\ Growth\ Rate = 19.86\%[/tex]

hi I'm really in 5y
the grade elementary and the question is four fiths of a spinach casserole is leftover after Sam has lunch Jackie and Alicia each take 1/2 of the left over casserole jack eats only 2/3 of her portion what fraction of a whole casserole did jackie eat express our answer as a simplified fraction

Answers

Answer:

0.6

Step-by-step explanation:

2/5 divided by 2/3

use reciprocal method

and make it 2/5*3/2

6/10

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