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andrew-mc [135]
4 years ago
11

The answer is 3/2x but I don’t know how to solve it... please explain

Mathematics
1 answer:
lesya [120]4 years ago
5 0

Answer:

  y = 3/2x by making use of angle relationships in triangles

Step-by-step explanation:

Here's one way to solve it.

  ∠ADE is an external angle to ΔBDE. As such, its measure will be the sum of the measures of the remote interior angles, ∠DBE and ∠DEB:

  ∠ADE = 2x° +y°

__

If we call the intersection point of AC and DE point G, then ∠AGE is an exterior angle to ΔADG. As such, its measure is the sum of the remote interior angles:

  ∠AGE = ∠GAD +∠GDA

  3y° = x° +(2x° +y°)

  2y = 3x . . . . . . . . . . subtract y°, collect terms, divide by °

  y = (3/2)x . . . . . . . . divide by 2

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Which of the following equations corresponds to the graph below
alekssr [168]

the answer would be d because it goes down 2 and over 1

3 0
3 years ago
Read 2 more answers
A water from a little lake drained a total of 3.5 liters in 4 days
Ira Lisetskai [31]
So, in 4 days, the lake lost 3.5 liters, and you need to solve for how many were lost each day. 
There are two ways to do this; one involves writing an equation, the other does not. It pretty much just depends what your teacher expects from you.

The easiest way is to simply divide 3.5 by 4; this will tell you how many liters were lost each of those four days.

The other way does the same thing, but a little more algebraically...
3.5 liters per day were lost- this can be written as a ratio: 3.5 liters/ 4 days.
You need to solve for x liters/ 1 day.
Since these are equivalent, you set them equal to each other: 
\frac{3.5 liters}{4 days} =  \frac{x liters}{1 day}
From here, you can cross multiply to get 3.5=4x
Then simply divide both sides by 4 (to isolate the variable) and you get 1.5=x.
Since the variable x represented the number of liters lost in 1 day, you can write your answer as 1.5 liters. 

So, the simple answer is: the average change in the water volume each day was 1.5 liters. 
8 0
4 years ago
If x/8 =5/4 then x=10 true false
galina1969 [7]

Answer:

true

Step-by-step explanation:

given

\frac{x}{8} = \frac{5}{4} ( cross- multiply )

4x = 40 ( divide both sides by 4)

x = 10

3 0
3 years ago
It took Julius 1/3 of an hour to ride his bike 2 3/4 of a mile. How many miles per hour can he ride his bike?
Natalka [10]

Answer: 33/4 miles per hour

Step-by-step explanation:

Hi, to answer this question we simple have to divide the distance travelled by the bike (2 3/4) by the time spent (1/3)

Speed rate = distance /time

Replacing with the values given:

S = 2 3/4 ÷ 1/3 = (2x4+3)/4 ÷1/3 =11/4 ÷1/3= 33/4 miles per hour

Feel free to ask for more if needed or if you did not understand something.

3 0
3 years ago
Mrs wang is 23 years older than her daughter. I’m 5 years, their age will total 63. How old is each now?
Rom4ik [11]

Answer:

Mrs. Wang is 38 years old and her daughter is 15 years old.

Step-by-step explanation:

Explanation:

Let

x

=

the daughter's age

Mrs. Wang is

23

years older, so her age is

x

+

23

In five years, the daughter will be

x

+

5

years old

In five years, Mrs. Wang will be

x

+

23

+

5

=

x

+

28

years old

And, in five years the sum of their ages will be 63, so...

x

+

5

+

x

+

28

=

63

Combine like terms

2

x

+

33

=

63

a

a

−

33

a

−

33

a

a

a

Subtract 33 from both sides

2

x

a

a

a

a

a

=

30

2

x

2

=

30

2

a

a

a

Divide both sides by 2

x

=

15

a

a

a

The daughter is 15

x

+

23

=

15

+

23

=

38

a

a

a

Mrs. Wang is 38

8 0
4 years ago
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