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3 years ago

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

Mathematics

1 answer:

lesya [120]3 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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Recall from Intermediate Algebra that two non-vertical lines are perpendicular if and only if they have negative reciprocal slop

OLEGan [10]

Complete Question

The complete question is shown on the first uploaded image

Answer:

The line is $y = -4 x$

Step-by-step explanation:

From the question we are told that

The line is $y = \frac{1}{4} x + 8$

The point is P(0,0 )

Generally the equation for a line is $yn = mx + c$

Now comparing this with the given equation we see that

$m =\frac{1}{4} = slope$

$C =8 = intercept$

Generally the slope of the perpendicular to the given line is mathematically evaluated as

$m_1 = - \frac{1}{m}$

=> $m_1 = - \frac{1}{ \frac{1}{4}}$

=> $m_1 = -4$

Generally from the univesal equation of a line and the given point we have that

y = mx + c at p(0,0) and $m_1 = -4$ is

0 = -4 (0 ) + c

=> c = 0

Hence the equation perpendicular to the line given at the point given is

$y = -4 x$

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3 years ago

doug had 2000 baseball cards. he wants at least "y" cards in his collection by the time he graduates. he buys 25 baseball cards

BabaBlast [244]

y≥25x+2000

because the +2000 is the y intercept ( where he started) and its 25x because he gets 25 over x amount of weeks

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3 years ago

What’s 6 divided by 3 plus 1,000,000

Marizza181 [45]

Answer:

1000002

Step-by-step explanation:

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3 years ago

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Tom is sorting cookies with his little sister Betty. He notices that when he takes a cookie she takes three cookies, when he tak

NeX [460]

B. they are directly proportional because she keeps taking 3 at a time to his 1 at a time.

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3 years ago

Read 2 more answers

PLEASE HELP AND SHOW WORK!!

Nastasia [14]

Answer:

Pipe 1 alone fills a tank in 10 min

Pipe 2 alone fills the tank in 20 min

If both are turned on together, how long will it take to fill the tank???

Pipe 1 fills at the RATE of 1/10th tank per min

Pipe 2 fills at the RATE of 1/20th tank per min

Pipe 1 + Pipe 2 fills at the rate of 1/10+1/20 or 3/20th tank per min

Let x= time to fill the tank

(3/20)(x)=1 Where 1 denotes a full tank (Multiply both sides by 20)

3x=20

x=6 2/3 min----------both working together

NOW YOUR PROBLEM

Let x= amount of time for smaller pipe to fill the tank

Then (x-5)=amount of time for larger pipe to fill the tank

NOW HERE'S WHERE THE RECIPROCAL COMES IN:

The smaller pipe fills the tank at the RATE of 1/x cu units per min

The larger tank fills the tank at the RATE of 1/(x-5) cu units per min

Together, they fill the tank at the rate of 1/x+(1/(x-5)) cu units per min

But now we are told that together the fill the tank in 11 1/9 minutes. so our equation to solve is:

(1/x+(1/(x-5))(11 1/9)=1 where 1 denotes a full tank. In fact, in each of the above reciprocals, the 1 denotes a full tank.

So, dividing both sides by 11 1/9, we get:

1/x+(1/(x-5)=1/(11 1/9)-------------- which is your equation

I assume that you have no problems solviing this eq.

Hope this helps----ptaylor

Step-by-step explanation:

7 0

3 years ago