4 years ago

In the figure, BD is a median. If AD=6x+10 and CD=2x+12, find the length of AC. Show your work.

Mathematics

1 answer:

Valentin [98]4 years ago

6 0

Answer:

26.

Step-by-step explanation:

Given, BD is a median. As it divides the AC equally, that's why it will AD=CD. Given, AD= 6x+10 and CD= 2x+12

Now, AD= CD

or, 6x+10=2x+12

or, 6x-2x= 12-10

or, 4x= 2

or, x= 1/2

So the value of x is 1/2. As BD divided AC equally, both AD and CD will be equal and AD+CD= AC.

So, 6x+10+2x+12= AC

or, 8x+22= AC

or, 8 X (1/2) + 22= AC

or, 4+22 = AC

or, AC= 26.

You might be interested in

Which decimal is equal to 1/5: 0.1,0.2,0.3,0.4 or 0.5

Xelga [282]

0.2 is the correct answer. All you have to do is divide 1 by 5 to get 0.2

7 0

4 years ago

Read 2 more answers

Of the fifth students, 15/20 went to the book fair. Of the students who went to the book fair, 12/16 bought ar least one book. W

kompoz [17]

Answer:

9/16 students got a book.

Step-by-step explanation:

Number of students who went to book fair: 15/20 = 3/4

Number of students who got a book: 12/16 = 3/4

(3/4)*(3/4) = 9/16

7 0

3 years ago

Kristen can run at 15 km/h and walk at 5 km/h. She complete for a 42 km marathon in 4 hours. What distance did Kristen run durin

maksim [4K]

Let x be the time she ran and y be the time she walked

then distance ran = 25x and distance walked = 5y

so 15x + 5y = 42

and x + y = 4

* second equn. by -5:-

-5x - 5y = -20

add this to the first equn:0

10x = 22
x = 2.2

distance she ran = 2.2 * 15 = 33 km

6 0

3 years ago

14 pies eaten in 2 minutes what the rate

NeTakaya

Rate : every minute 7 pies are eaten 7:1

7 0

4 years ago

Read 2 more answers

In a geometric sequence where r> 1, the terms always increase. True or false?

Blizzard [7]

Answer:

the answer you are looking for is true