In the diagram, Triangle ABC ~ Triangle ACD. If AD = 12 and DB = 15, What is AC?

Answers

Answer 1

Answer:

AC = 9

Step-by-step explanation:

We solve using Pythagoras Theorem

The formula is given as:

a² + b² = c²

Where:

AC = a = ?

AD = b= 12

DB = c = 15

Hence,

a² + 12² = 15²

a² = 15² - 12²

a² = 225 - 144

a² = 81

Square root both sides

√a² = √81

a = 9

Hence, AC = 9


Related Questions

At a movie theater, the size of popcorn bags decreased 20%. If the old bags held 15 cups of popcorn, how much do the new bags hold?

Answers

Answer:

12?

Step-by-step explanation:

since this is a percent deal I would a simple trick

x/15 = 20/100

15 x 20 = 300

divide 300 by 100

that equals 3

15 - 3 = 12

Answer

12?

Step-by-step explanation:

since this is a percent deal I would a simple trick

x/15 = 20/100

15 x 20 = 300

divide 300 by 100

that equals 3

15 - 3 = 12

Determine the value of the rest of the angles

Answers

Answer:

2, 5, 6 are all 154

1, 3, 4, and 7 are all 26

im going to self destruct lol​

Answers

Answer:

noooooooooooo dont:(

Step-by-step explanation:

same lol. wanna self destruct together lol i’m so bored and i hate school so much

(40, 3,000) and (60, 4,000)
find the slope of the line that passes through

Answers

Answer:

slope of the line is 50

Step-by-step explanation:

The slope of a line (gradient) is determined by the rise/run so

(y2 - y1) / (x2 - x1)

We simply substitute in our coordinates and solve. So:

(4000 - 3000) / (60 - 40)

= 1000 / 20

= 100/2 = 50

Gradient is 50

Which of the following inequalities matches the graph?

answers:

x < 2

y > 2

y < 2

x > 2​

Answers

Answer:

None of them but for the actual question on the picture it is x < -3

Step-by-step explanation:

The map of a biking trail is drawn on a coordinate grid. The trail starts at P(−5, 4) and goes to Q(2, 4). It goes from Q to R(2, −2) and then to S(7, −2). What is the total length (in units) of the biking trail? WILL GIVE BRAINLIEST NEED ASAP WILL ALSO GIVE 5 STARS AND THANKS!!!!!!!!!! SOMEONE PLZ HELP I NEED THIS!!!!!!!!!!!!!!!!!!!!!!!!!

12

18

16

14

Answers

Answer:

18 units

Step-by-step explanation:

PQ= 7 units

QR = 6 units

RS = 5 units

its really not that hard..

help me plzzzzzzzzzzzzzz​

Answers

{-2, 9} because those are the mode of the three sets.

I JUST NEED 4 PLS!!!!!!
IM REDOING THIS SO THERE IS WRITING ON THE PAPER!!
I WILL MARK BRAINLIEST!

Answers

Answer:

C

Step-by-step explanation:

When doing 4 divided by 2 you get 2. Looking at the sign it is saying 3 is greater than the number we solve for. Since we solved and got 2 we can double check and ask is 3 greater than 2? Yes it is so that would make the statement correct.

Hope this Helps :)

find the slope of the line (3,4) , (6,0)

Answers

Answer: its a negative slope and its -4/3

Step-by-step explanation:

hope this helped you

(2x + 3y) + (4x - 3y) = 11+(-5)
Which of the following is equivalent to the equation above?
A. 6x=10
B. 6x=16
C. 6x+6y=6
D. 6x+6y=16

Answers

Answer:

The correct option should have been [tex]6x=6[/tex].

Step-by-step explanation:

Given the expression

[tex]\left(2x\:+\:3y\right)\:+\:\left(4x\:-\:3y\right)\:=\:11+\left(-5\right)[/tex]

solving the expression

[tex]\left(2x\:+\:3y\right)\:+\:\left(4x\:-\:3y\right)\:=\:11+\left(-5\right)[/tex]

Remove parentheses:  (a) = a

[tex]2x+3y+4x-3y=11-5[/tex]

Group like terms

[tex]3y-3y+2x+4x=11-5[/tex]

Add similar elements

[tex]6x=6[/tex]

It is clear that not a single given option is [tex]6x=6[/tex]. It means no option is correct. It seems you mistyped the correct options.

The correct option should have been [tex]6x=6[/tex].

What is the value of |3|?

Answers

Are you wanting the absolute value of 3 if so it's just 3

Which number is equal to 17.75?
F. 1.775
G. 17.075
H. 17.750
I. 1.7750

Answers

The answer is :
H. 17.750
H. 17.750

When a zero is on the end of the decimal, you can drop it making 17.750=17.75

y = x2 + 13
Non linear or linear

Answers

Answer:

linear

Step-by-step explanation:

as it has X2 +..... something in it

which line contains both points P (-2, 3) and Q (-1, 2) ?

Answers

Answer: A is the answer

Step-by-step explanation: because nun of the other make sense

Emily wants to buy new boots that cost $68. The sales tax rate in her city is 5%. What is the total cost for the boots?

Answers

the answer is 73 because if same tax rate is 5% in the city it will be $73 in total

will mark brainliest answer!! 50 points!! pls help!!

Ben shared his post with 2 friends. Each of them share the post with 3 friends a day.
a) write an exponential equation to show the growth of Ben’s social media post

Carter shares his post with 10 friends who each share the post with 2 friends a day
b) write an exponential function to show the growth of Carter’s social media post

Answers

Answer:

1. Ben

Let the number of days be x.

Let the total no. of shares be y

[tex]No.\ of\ shares\ on\ Day\ 0=2\\No.\ of\ shares\ on\ Day\ 1\ = 2*3\\No.\ of\ Shares\ on\ Day\ 2\ =\ 2*3*3\\No.\ of\ Shares\ on\ Day\ 3\ = 2*3*3*3\\No.\ of\ Shares\ on\ Day\ x\ =2*3^x\\As\ Total\ no.\ of\ shares\ = y\\y=2*3^x[/tex]

2. Carter

Let the no. of days be x

Let the total no. of shares be y

[tex]No.\ of\ shares\ on\ Day\ 0=10\\No.\ of\ shares\ on\ Day\ 1\ = 10*2\\No.\ of\ Shares\ on\ Day\ 2\ =\ 10*2*2\\No.\ of\ Shares\ on\ Day\ 3\ = 10*2*2*2\\No.\ of\ Shares\ on\ Day\ x\ =10*2^x\\f(y)=10*2^x[/tex]

every five years in march, the populations of a certain town is recorded. In 1995, the town had a populations of 4,500 people. From 1995 to 2000, the population increased by 15%. From 2000 to 2005, the population decreased by 4%. What was the town's population in 2005.

Answers

Answer:

population= 4968

Step-by-step explanation:

15/100= 0.15

1+0.15= 1.15

1.15 x 4500= 5175

4/100= 0.04

1-0.04= 0.96

0.96 x 5175= 4968


What is the solution for x in 5x - 2 + 2x = 7x - 2?

Answers

This will be an infinite solution because at the end of the problem it will give you 7x=7x.
I hope this helps :)

please help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

It’s the angle 3 and 7

Solve and graph the compound inequality:
5C + 3 < 28 and -4C – 2 14

Answers

5 C + 3 < 28 a - 4 C - 214

a>9c +31

------------

28. 4

C >28a-21

------

9

Answer:

c < 5 or c <= -4

Step-by-step explanation:

apek

Determine if segments AB and CD are parallel, perpendicular, or neither. AB formed by A(3,8) and B(-6,5) CD formed by C(-6,7) and D(-3,8)

Answers

Answer:

They are parallel

Step-by-step explanation:

(3,8)(-6,5): do sloe formula (y1-y2 over x2-x1)

AB: 1/3 slope       (Full formula y=1/3x+7)

(-6,7)(-3,8) --->  8-7 over -3-(-6) = 1/3

CD: 1/3 slope      (Full formula y=1/3x +9)

They have the same slope so they are parallel

HELP ASAP GIVING BRAINLIEST


Solve for x in the diagram below

Answers

Answer:

Step-by-step explanation:

60=x+45

x=15

The volume of a fish tank is given by the function V(x)=(x+7)(x-4)(x+3). Write a function describing a fish tank that has the same height but is longer in length by 3 units and wider by 2 units.

Answers

Answer:

V(x)=(x+9) * (x-4) * (x+6)

Step-by-step explanation:

A fish tank is normally in the shape of a rectangular prism. The volume of a rectangular prism can be calculated using the following formula

V = w * h * l

where w represents the width, h represents the heigh, l represents the length, and V represents the volume of the rectangular prism/fish tank. Therefore, we can use the function provided in the question and simply add 3 units to the length and 2 units to the width in order for it to work for our new fish tank.

V(x)=(x+9) * (x-4) * (x+6)

please help; i’m confused

Answers

Answer:

The values of k that make the given equation having imaginary roots are:

k < -18, or (-∞,-18).

Step-by-step explanation:

Nature of the Roots of a Quadratic Equation

The standard representation of a quadratic equation is:

[tex]ax^2+bx+c=0[/tex]

where a,b, and c are constants.

Solving with the quadratic formula:

[tex]\displaystyle x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]

The expression:

[tex]d=b^2-4ac[/tex]

Is called the discriminant. The discriminant determines the nature of the roots of a quadratic equation as follows:

If d=0, there is only one real root.

if d>0, there are two different real roots

if d<0, there are two different imaginary (complex) roots

We are given the equation:

[tex]-2x^2+12x+k=0[/tex]

Comparing with the standard quadratic equation, we have:

a=-2, b=12, c=k

Calculating the discriminant:

[tex]d=12^2-4(-2)k[/tex]

[tex]d=144+8k[/tex]

If the equation has imaginary roots, then d<0, thus:

144 + 8k < 0

Subtracting 144:

8k < -144

Dividing by 8:

k < -18

The values of k that make the given equation having imaginary roots are: k < -18, or (-∞,-18).

What is the slope of the line? 4x-1=3y+5

Answers

Answer:x7

Step-by-step explanation:

Answer:

The slope would be 4/3, found from the equation: y=4/3x-2

Step-by-step explanation:

4x-1=3y+5

Subtract the 5

4x-6=3y

Divide the 3

y=4/3x-2

Find the distance between the two points rounding to the nearest tenth (if necessary).
(−2,2) and (−8,−6)

Answers

It’s 10

Explanation: you use the distance equations
Which in this case is the one in the picture.

help me please!!! anything will help.

Answers

3^-6*3^2



Explanation:

When you combine exponents using multiplication of the coefficient, you would add the exponents and since -6+2=-4 that would be your answer.

Dave's optometrist used medicine to dilate his eyes. Before dilation, his pupils had a diameter of 2.1 millimeters. After dilation, his pupils had a diameter of 6.3 millimeters. What was the scale factor of the dilation?​

Answers

Answer:

Step-by-step explanation:

6.3 divided by 2.1 equals 3.

3 is the scale factor

Answer:

2

Step-by-step explanation:

I just took the quiz

The fuel for a chain saw is a mix of oil and gasoline. The label says to mix 3 ounces of oil with 5 gallons of gasoline. How much oil would you use if you had 120 gallons of gasoline?

Answers

Answer:

120 gallons of gasoline needs 180 ounces of oil

Step-by-step explanation:

Since the label for the chain saw reads to mix 3 ounces of oil with 5 gallons of gasoline, it means we have a ratio of 3 ounces of oil to 5 gallons of gasoline. That is

3 ounces of oil = 5 gallons of gasoline

Using the the unity method, by dividing both sides by 5,

3/5 ounces of oil = 1 gallon of gasoline.

So, for 120 gallons of gasoline, we have

120 × 1gallon of gasoline = 120 × 3/5 ounces of oil

So, 120 gallons of gasoline = 60 × 3 ounces of oil

So, 120 gallons of gasoline = 180 ounces of oil

So, 120 gallons of gasoline needs 180 ounces of oil

Answer:

Try 15,360 gallons or it could be 15,360 oz. one of those I hope it helps a bit. I did 128 times 120 gl. witch gave me 15,360.

Step-by-step explanation:

3•3^-1
Show work plz!

Answers

Answer:

1

Step-by-step explanation:

Firstly we need to do the exponent,3^-1, which equals 1/3.

Now, we multiply 3 with 1/3.

3•1/3 =1

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