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Georgia [21]
3 years ago
12

If B is the midpoint of line AC, AC=CD, AB=3x+4, AC=11x-17, and CE=49, find DE

Mathematics
1 answer:
vekshin13 years ago
5 0

Answer:

DE=11 UNITS

Step-by-step explanation:

Given AC=CD

And AC=2AB as B is the mid point of AC

Hence 2(3x+4)=11x-17

6x+8=11x-17

11x-6x=17+8

5x=25

x=5

Hence AC=11(5)-17= 55-17=38

AC =CD = 38

CE = 49

Hence DE = CE-CD= 49-38 = 11

units

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If a wage of 100% is increase by 15% what would be the new wage
IceJOKER [234]

Answer:

115%

Step-by-step explanation:

The normal wage is 100% and there was 15% increment

Which means that 100+15

It will give 115%

But in the case of having a specific value for the salary we will be able to solve further but we are not given the amount of the salary

So the final answer is 115%

I believe you understand

7 0
3 years ago
Simplify 2x2a^2 x2a^2
horrorfan [7]

Step-by-step explanation:

> 2×2a²×2a²

8a⁴

> 36a³×1/4a²

9a³×1/a²

9a

> 2⁶

> 5²m²

6 0
3 years ago
Ajay bought a fan and a heater for rs 4000. He sold the fan at a profit of a 25% and the heater at a loss of 5%. If he gained 7%
Alborosie

Answer: Heater -Rs 2400; Fan- Rs 1600

Step-by-step explanation:

Given

Ajay bought a fan and a heater for Rs 4000

Suppose the price of fan is x and that of heater is 4000-x

Profit on the fan is 0.25x

Loss on heater is 0.05\times (4000-x)

Total profit is 7% i.e. 0.07\times 4000

\therefore 0.07\times 4000=0.25x-0.05(4000-x)\\\Rightarrow 280=0.25x-200+0.05x\\\Rightarrow 480=0.3x\\\Rightarrow x=1600

Thus, the price of heater is 4000-1600=Rs.\ 2400

Price of fan is Rs.\ 1600

Price of heater is Rs.\ 2400

8 0
3 years ago
6 pounds of apples and 3 pounds of oranges cost 24 dollars.5 pounds of apples and 4 pounds of oranges cost 23 dollars. Set up a
vitfil [10]

Answer:cost of each pound of apple= $3

And cost of each pound of orange =$2

Step-by-step explanation:

Step 1

Let cost of apples = x

And cost of Oranges =y

Let 6 pounds of apples and 3 pounds of oranges cost 24 dollars be represented as

6 x + 3y= 24----- equation 1

Also, Let 5 pounds of apples and 4 pounds of oranges cost 23 dollars be represented as

5x+ 4y= 23----- equation 2

Step 2

6 x + 3y= 24----- equation 1

5x+ 4y= 23----- equation 2

Using substitution method to solve the equation

6 x + 3y= 24

24-6x=3y

y= 24-6x/3 = 8-2x

Y= 8-2x

Substituting the value of y= 8-2x  into equation 2

5x+ 4( 8-2x)= 23

5x+ 32 -8x= 23

32-23= 8x-5x

9=3x

x=9/3

x=3

Putting the value of x= 3 in equation 1 and solving to find y

6 x + 3y= 24

6(3) +3y= 24

18+3y=24

3y= 24-18

3y=6

y=6/3= 2

Therefore the cost of each pound of apple= $3

And cost of each pound of orange =$2

8 0
3 years ago
Write the equation of a line in slope-intercept form that passes through the point (0,-7) and has a slope of 3/4.
kondor19780726 [428]

Answer:

y=3/4x-7

Step-by-step explanation:

(0,-7) is the y-intercept

3/4 is the slope

y=mx+b

m is the slope

b is the y-intercept

plug it in:

y=3/4x-7

please mark brainliest!

4 0
2 years ago
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