In right triangle EAD with right angle at A, AE=4 units, AB=BC=CD and the area of triangle ABE=6 sq units. What is the length of segment CE? Express your answer as a decimal to the nearest tenth.

Answers:

3x + 40 =64

4x - 6 =26

Step-by-step explanation:

So we are dealing with 2 complementary angles with both add up to 90 degrees. We can write an equation that shows this:

(3x+40) + (4x-6) = 90

Combine like terms

7x + 34 =90

Isolate x

7x = 56

x = 8

Now that we found x, all we have to do is substitute it in the equations:

3x + 40 = ?

3(8) +40 = ?

24+40 = ?

64 = ?

4x - 6 = ?

4(8) - 6 = ?

32 - 6 = ?

26 = ?

Answer:

3x+40= 66

4x-6= 26

Step-by-step explanation:

3x+40+4x-6=90˚ (because the square on the angle represents a 90˚)

Add 4x and 3x

Which is 7x

40 minus 6 is 34

The equation now looks like this:

7x+34=90˚

Subtract 34 on both sides:

7x=56

Divide 7 on both sides:

x=8

For 3x+40

Substitute x with 8

the equation now looks like this:

24+40 Which is 66

For 4x-6

4 times 8 is 32

32 minus 6 which is 26

Hope this helps!

The probability that the letter on it will fall between "F" and "Q" in the alphabet is 5/9. Option A is correct.

Probability is the likelihood or chance that an event will occur.

Probability = Expected outcome/Total outcome

Pr(the letter on it will fall between "F" and "Q" in the alphabet) = 5/9

Hence the probability that the letter on it will fall between "F" and "Q" in the alphabet is 5/9

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Answer:

4th graph

6th graph

3rd graph

Step-by-step explanation:

Linear = y = x + 3

it is 4th graph

when you substitute x = 0 y is 3

and when y = 0 x is -3

Quadratic = y = 3x^2

It is 6th graph

for both positive and negative values of x, y is rapidly increasing

Exponential = y = 3^x

it is 3rd graph

for x = 0 y value is 1 because 3^0 = 1

for positive values of x, y is exponentially rising

for negative values of x it is nearly almost touches zero

Answer:

x>22

Step-by-step explanation:

3(x+4)>18

3x+12> 54

3x>66

x>22

Answer:

He has 31 students

Step-by-step explanation:

You know this because 49.6 ÷ 1.6 = 31

Answer:

A

Step-by-step explanation:

v666

Answer:

I can't see the file

Step-by-step explanation:

Answer:

4 hours

Step-by-step explanation:

In  6  hours,  J  paints  1  room

So, in  1  hour,  J  paints  1/6 th of the room

Using similar logic, in  1  hour,  T  paints  1/12 th of the room.

Working together in one hour, they paint  (1/6+1/12) th =1/4  of the room.

1/4  of the room is painted in  1  hour

So,  1  room is painted in  1 1/4=4  hours

Answer:

Step-by-step explanation:           1/7

Answer:

2x² + 2x - 24

Step-by-step explanation:

We can use the FOIL method to multiply the terms together and then find the values in our trinomial. First, the F in FOIL. It stands for first, and we need to multiply the first terms in the two expressions. These terms are 2x and x. Multiplying 2x by x gives us 2x², so that's our first term.

Next, the O in FOIL. It stands for outside, and we need to multiply the terms on the very left and the very right. These are 2x and -3, and multiplying 2x by -3 gives us -6x. That's our second term.

Now, the I in FOIL. It stands for inside, so we need to multiply the terms in the middle of the expressions. Those are 8 and x, and we multiply those together to get 8x. That's our third term.

Finally, the L in FOIL. This stands for last; we need to multiply the last terms of each expression. Those are 8 and -3, and we can multiply those to get -24. Now we can get all our terms added together and simplify as needed.

2x² - 6x + 8x - 24

We can simplify -6x and 8x since they are like terms.

2x² + 2x - 24

And there is our trinomial. Hopefully that's helpful! :)

Answer:

183.50 feet

Step-by-step explanation:

43*4=172

5.75*2=11.50

172+11.50=183.50

183.50 feet

Answer:

5/1

Step-by-step explanation:

3.75 + 2.25 = 5

5 = 5/1

9514 1404 393

Answer:

  y = 0.4^(x+3) -2

Step-by-step explanation:

I have chosen the decay function y=0.4^x as the parent function.

Shifting any function f(x) left 3 and down 2 will transform it to ...

  y = f(x+3) -2

So, the shifted parent function is ...

  y = 0.4^(x+3) -2

Answer:

(20 points!!!)

Alanna is going shopping for Goggles and food.

The cost of Goggles is $15 and the cost of each food item is $5.

If Alanna can spend at most $55, how many food items can be purchased?

Write an inequality of the form Ax + B ≤ C to represent the word problem using your answers for A, B, and C. Solve the inequality and show your work.

Graph the solution to your inequality on a number line or describe, in words, how to graph the inequality on a number line.

Explain what the solution means in the context of the word problem.

9514 1404 393

Answer:

  y = 3

Step-by-step explanation:

Put the value where the variable is and do the arithmetic.

  [tex]y=\dfrac{x}{2}+9\\\\y=\dfrac{-12}{2}+9=-6+9\\\\\boxed{y=3}[/tex]

Step-by-step explanation:

from which text book please

Answer:

39.1 megabytes

Step-by-step explanation:

Percentages are out of a hundred, so 15.7% is 15.7 out of 100, aka 15.7/100, which is 0.157.

Now, you just need to multiple this number by 249 megabytes to get 0.157 * 249 = 39.093 which rounds to 39.1

3x^2 - 3x -90

=3 (x^2 - x -30)

=3 (x^2 −6x+5x−30)

=3(x(x−6)+5(x−6))

=3(x−6)(x+5)

Answer:

Aling Mely  buy 31/8 kg or 3.875 kg or 3 7/8 kg of nuts.

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]1 \dfrac{3}{4}+ \dfrac{5}{8}+ 1\dfrac{1}{2} = \dfrac{7}{4}+ \dfrac{5}{8} + \dfrac{3}{2}\\\\\\LCM = 8\\\\= \dfrac{7*2}{4*2}+ \dfrac{5}{8}+ \dfrac{3*4}{2*4}\\\\\\= \dfrac{14}{8}+ \dfrac{5}{8}+ \dfrac{12}{8}\\\\\\= \dfrac{14+5+12}{8}= \dfrac{31}{8}\\\\\\= 3 \dfrac{7}{8} \ Kg[/tex]

Answer:

x=4

Step-by-step explanation:

Four less than the product of a number and 8:

8x−4

is twice the sum of the number and 10, so

8x−4=2(x+10)

Simplify.

8x−4=2x+20

Add 4 to both sides, which is

8x=2x+24

Subtract 2x from both sides:

6x=24

Divide 6 from both sides to isolate the x

x=4

-how I got 20

8x-4=2(x+10) x=8 so 8+10=18 18+2=20

also sorry for posting the answer in the comments and then making an answer after you saw i just wanted da points and hope it helped you :)

Answer:

75

Step-by-step explanation:

If we go from the bottom to the line that averages the sold cones by temperature (I forget its exact name), and then go to the left from that exact spot, it appears to be 75 cones.

Answer:

-11.8

Step-by-step explanation:

Given:

-3.4 to 12.4        increased  (difference = 15.8)

12.4 to 20.4      decreased (difference = 8)

20.4 to 3.2        increased  (difference = 17.2)

To find:

Final temperature.

Solution:

As we noticed, this is a pattern of increase, decrease, increase... (and so on and so forth). From this alone, we have gotten the clue that the temperature is going to decrease. But here is the thing, How far will it decrease?

Use the difference of the starting result to find the ending result.

3.2 - 15

= -11.8

Therefore, the final temperature is -11.8.

Answer: Unknown

Step-by-step explanation:

-b+/-√b^2-4ac/2a < plug a b and c into this equation and boom done ez

Answer:

172.8

Step-by-step explanation:

72% of 240 is 172.8

You can estimate it by rounding 172.8 to $173

Jules's take $173 for home pay.

What is Percentage?

A relative value indicating hundredth part of any quantity is called percentage.

Given that;

Total earning of Jules's = $240

He take home pay is about 72%.

Now,

Amount for take home pay = 72% of $240

It can be solve as;

72% of $240

72% × 240

72/100 × 240

72/10 × 24

172.8

After estimating we get;

Amount for take home pay = $173

Thus, Jules's take $173 for home pay.

Learn more about the percentage visit:

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Answer:

7/8

Step-by-step explanation:

i know

Answer:

7/8 XD

Step-by-step explanation:

Answer:

all but 1/6

Step-by-step explanation:

Answer:

2/6 3/9 4/12 are the answers