Triangle ABC is shown. DE is a straight line with D on AC and E on BC AB = 46m, EC = 18m, CD = 29m and ED = 20m. Calculate the length AD.

Answers

Answer 1

Answer:

37.7m

Step-by-step explanation:

Triangle ABC is shown. DE is a straight line with D on AC and E on BC AB = 46m, EC = 18m, CD = 29m and ED = 20m. Calculate the length AD.

We solve using Similarity Theorem

BA/AC =BD/DC

46/AD+29 = 20/29

Cross Multiply

46 × 29 =20 (AD + 29)

1334 = 20AD + 580

20AD = 1334 - 580

20AD = 754

AD = 754/20

AD = 37.7m


Related Questions

Can someone help me ASAP!!

Answers

Answer:

UR in trouble

Step-by-step explanation:

Look, the First order is the biggest force in the galaxy.

Now, it is gonna  send a star destroyer to ur house and blow it up.

Joey built a skateboarding ramp. The base of the ramp along the ground is 13 feet, and the top of the ramp is 7 feet off the ground. What is the length of the ramp's incline?

Answers

Answer:

14.77 feet

Step-by-step explanation:

Using the pythagoras theorem to get the length of the ramp

l² = 13² + 7²

l is the length of the ramp

l² = 169 + 49

l² = 218

l = √218

l = 14.77 feet

Hence the length of the ram is 14.77 feet


The lines AB and CB intersect at B
(a) Find the co-ordinates of the midpoint of AB
(b) Find the equation of the line CB​

Answers

Step-by-step explanation:

Soln

given,

from the figure

coordinate of B is (5,3),

A(7,0) and C(0,4)

A. solution

let, M(x,y) be the mid point of AB

A(7,0) = (x1,y1)

B(5,3) = (x2,y2)

we know

x = (x2+x1)/2

or, x = (5+7)/2

or, x = 12/2

or, x = 6

and for y

y = (y2+y1)/2

or, y = (3+0)/2

or, y = 3/2

therefore M(x,y) = (6,3/2)

B. solution

let,

C(0,4) = (x1,y1)

B(5,3) = (x2,y2)

equation of line is ;

(y - y1)/(x - x1) = (y2 - y1)/(x2 - x1)

or, (y - 4)/(x -0) = (3 - 4)/(5 - 0)

or, (y - 4)/(x - 0) = -1 / 5

by cross multiply

or, 5×(y - 4) = -1×(x)

or, 5y - 20 = -x

or, x + 5y = 20 is the required equation.

4 + x/7 =2

Solve

a -14. b 10. c 12 d 42​

Answers

Answer:

-14

Step-by-step explanation:

4 + x/7 =2

x/7= -2

x= -2 * 7

x=

-14

8c-72=-2(6x-9)-4c fast

Answers

Answer:

2c+15/2

Step-by-step explanation:

Given z1 =9+9/3i and z2 = 2+/3i, what is z2-z1?


8+7/3i


-7-8/3i


7+ 10/3i


-7+ 10/3i

Answers

Answer:

z2 - z1 = 7/3i

Step-by-step explanation:

Given the following complex number:

z1 = 9+i/3i

z2 =  2+i/3i,

Taking the difference

z2 - z1 = 9+i/3i - (2+i))/3i)

z2-z1 = (9+i-(2+i))/31

z2 - z1 = 9+i -2-i/3i

z2-z1 = 9-2/3i

z2 - z1 = 7/3i

Note that the complex number given was not properly written and the ones used were assumed. Same procedure an be used for other complex numbers that might be given.

Deon has taken a car loan for $1800. To pay the loan off in 12 months, how much would he have to pay per month?

Variable: x = amount to pay per month

Answers

Answer:

$150 per month

Step-by-step explanation:

If you divided 1800 by 12 you will get 150 so therefore he needs to pay $150 per month.

) Luci Lulu opened a cookie store in the mall. She found that the relationship between the price of a cookie, p, and the number of cookies sold, x, is given by the linear relationship x = −2000 p + 4000 . Find the maximum revenue Luci can make selling cookies in one day

Answers

Answer:

The maximum revenue Luci can make selling cookies in one day is $4,004,000.

Step-by-step explanation:

Given;

x = −2000 p + 4000 ..................... (1)

Revenue = xp

Revenue = (−2000 p + 4000)p =

Revenue = −2000p^2 + 4000p .................... (2)

The price at which Luci will the maximum profit can be calculated by finding the derivative of equation (2), equating to 0, and then solve for p as follows:

−4000p + 4000 = 0

4000 = 4000p

p = 4000 / 4000

p = 1

This implies that the price at which Luci will the maximum profit is $1.

Substituting p = 1 into equation (2) to obtain the maximum revenue Luci can make selling cookies in one day, we have:

Revenue = (−2000 * 1)^2 + (4000 * 1)

Revenue =  −2000^2 + 4000

Revenue = 4,000,000 + 4000

Revenue = 4,004,000

Therefore, the maximum revenue Luci can make selling cookies in one day is $4,004,000.

Please help me out with this one, I don't know how to do this one

Answers

Answer:

3/14 or about 21%

Step-by-step explanation:

Just divide the number of black cars by the total number of cars.

15/70 = 3/14

HELP HELP HELP POINTS GIVEN POINTS GIVENN

Answers

All except for the leg

Hey guys I need help on question 38 and 39 please! :)

Answers

38. x=10
39. y=5

Hope this helps :)

Miles per Hour, Inches per Second, Feet per Min are all examples of ?

Answers

Distance measurments

9.5=25/t+(-8) helppppppppp

Answers

Answer:

437.5

Step-by-step explanation:

I will REALLY answer your question :)

9.5 = 25/t + -8

The first step here is to simplify t + -8. If you add a negative of  something, you also subtract. This can be rewritten as:

9.5 = 25/t - 8

Now, we need to add 8 to undo the subtraction.

17.5 = 25/t

Now, to undo the division, we will multiply the whole equation by 25.

17.5 x 25 = 437.5

What is m∠N?

A. 19°
B. 68°
C. 95°
D. 112°

Answers

Answer:

B.68.......................

In a standard deck of cards, what is the probability of drawing a card with the suit of clubs?

Answer (round) to the hundredth place value.

Answers

Answer:

[tex]\frac{1}{4}[/tex]

= 0.25

Step-by-step explanation:

In a standard deck of cards, there are 52 cards. The standard deck of cards also has 13 clubs. Probability is;

[tex]\frac{wanted- outcomes}{total- outcomes}[/tex]

The wanted outcomes is a clubs, the total outcomes are the total number of cards in the deck, hence;

[tex]\frac{13}{52}[/tex]

Simplify;

[tex]\frac{1}{4}[/tex]

A square has a side length of 13 meters. What is the area of the square?
If the dimensions of the square are doubled, what will be the area of the new square?

Answers

Answer:

Area of original = 169m^2

Area of new = 676m^2

Step-by-step explanation:

Area of a square = (length of side)^2

13^2 = 13 * 13 = 169

If the dimension is doubled:

(2*13)^2 = 26^2 = 676

Answer:

G00D LuCk

Step-by-step explanation:

Feel free to fail

D. Solve the following problems:
in a 100 kilometer trip, jojo uses 12 liters of gasoline, how many liters of gasoline will he use on a trop of 350 kilometers?

Answers

Step-by-step explanation:

100 = 12

300 + 50 = 36 + 6 = 42 L

Point S is on line segment \overline{RT}

. Given ST=3x-8,ST=3x−8, RT=4x,RT=4x, and RS=4x-7,RS=4x−7, determine the numerical length of \overline{RT}.

RT

.

.

Answers

Answer:

RT = 20

Step-by-step explanation:

Point S is on line segment

R------------S------------T

RS + ST = RT

Given

ST=3x-8

RT=4x

RS=4x-7,

Step 1

We find x

4x - 7 + 3x - 8 = 4x

4x + 3x -7 - 8 = 4x

7x - 15 = 4x

7x - 4x = 15

3x = 15

x = 15/3

x = 5

Step 2

We find RT

RT = 4x

x = 5

RT = 4 × 5

RT = 20

The numerical length of RT is 20

URGENT! PLEASE HELP ME!
Martin had read 70% of a book. He has 3 more pages to finish. How many pages are there in the book?

Answers

Answer:

15

Step-by-step explanation:

15x3=70

Answer:

5.1 pages

Step-by-step explanation:

70% of 3 is 2.1 and 2.1 + 3 = 5.1

The answer and the step by step explanation pleasee

Answers

Answer:

C

Step-by-step explanation:

Given

V = lwh ( isolate w by dividing both sides by lh )

[tex]\frac{V}{lh}[/tex] = w → C

Below are a picture of parallel railroad tracks intersecting the parallel edges of a road.

Find x

Answers

X= 130 degrees since 180 is the total minus 50 from above

the volume of cylinder can be 1.5litre and area of its base is 77 . find its height​

Answers

Answer:

20.07 cm³

Step-by-step explanation:

Volume of Cylinder = 1.54 liters = 1540 cm³.

Area of its base = 77 cm².

πr² = 77

(22/7) * r² = 77

r = 4.94

Now,

Volume of cylinder = πr²h

⇒ 1540 =  (22/7) * (4.94)² * h

⇒ h = 20.07 cm³

at the grocery sale you want to buy 4 and 9 tenths lb of cheese what decimal should the digital scale show

Answers

Answer:

4.9 lb

Step-by-step explanation:

Tenths are the first place after the decimal point.

how fast was a plane flying if it traveled 40 kilometers in 30 minutes​

Answers

Answer:

80 km/hr

Step-by-step explanation:

0.5 hour = 30 min

40 km in 30 min

80km in 60 min

(marking brainliest or however you spell it)

may someone help me on this? please?? thank you if you tried to help!

Answers

Answer:

6.4

Step-by-step explanation:

To do this you just have to multiply 40 by 2 to get 80 and than divide by 12.5 and you get 6.4

There are 15 fruits in a bowl and 3 of them are apples. What percent of the fruits in the bowl are apples?

Answers

Answer:

20 percent of them

Step-by-step explanation:

3/15=1/5=20%

Directions - Identify the key components, create an exponential equation, then answer the questions.
Exponential Form: y=a.6, a is the starting value, b is the base (rate).
In a small town, the stray dog population is rapidly increasing there are currently 15 stray dogs, and it is estimated that the population will triple every year.
How many dogs will there be after 1 year? 2 years? 3 years?
1) a =
4) Dogs after 1 years =
2) b =
5) Dogs after 2 years =
3) Equation:
6) Dogs after 3 years =

Answers

Answer:

Directions - Identify the key components, create an exponential equation, then answer the questions.  

​Exponential Form:  y=a\cdot b^{x},\ a\ is\ the\ \textit{starting}\ \textit{value},\ b\ is\ the\ base\ (rate).\y=a⋅b  

x

, a is the starting value, b is the base (rate).  

​In a small town, the stray dog population is rapidly increasing. there are currently 15 stray dogs, and it is estimated that the population will triple every year. How many dogs will there be after 1 year? 2 years? 3 years?

​1) a =  15  

 4) Dogs after 1 years = 45  

 ​

​2) b =  3  

 ​5) Dogs after 2 years =   135

 

​3) Equation:    

y= 15 ×3x

 ​6) Dogs after 3 years =    

405

 

Step-by-step explanation:

i need the answerrrrrrrrrrrrrrrrrrrrrrrrrrrr

Answers

Answer:

The first number is zero, and the second number is 17

Step-by-step explanation:

If we triple the first number (which is zero), it would still equal zero. Then, if you double the second number the answer would be 34.

have a good day!! :)

factorise x^3 - 5x


please help, would be greatful

Answers

The answer is: X(x2-5)
this is the answer
x(x^2-5)

Which linear equation can be used to represent a line perpendicular to Line W passing through point (-3,-2)?

line is x=8 on graph PLEASE HELP!​

Answers

Answer:

x=-3

hope this helps!!:)

Step-by-step explanation:

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