In the parallelogram below, AC = 18, BD = 30, and BC = 15. What is the length of EC?

Answer:

Option B.

Step-by-step explanation:

When we have an angle A, in degrees, the coterminal angles are all the angles that can be written as:

B = A + n*360°

Where n is a positive or a negative integer (if n = 0, then B = A, which means that A is coterminal with itself, which is trivial).

Now we want to find two coterminal angles to 117°, such that one is positive and the other negative.

Then we can do:

for the positive one, use n = 1.

B = 117° + 1*360° = 477°

For the negative one, use n = -1

B = 117° - 1*360° = -243°

Then the two angles are 477° and -243°

The correct option is B.

Answer:

12m,

Step-by-step explanation:

Answer:

-√2

Step-by-step explanation:

C on Edg

Answer: - square root 2

Step-by-step explanation: c on edge

Answer:

Complementary

Step-by-step explanation:

49°+41° = 90°

Answer:

B. $ 320

Step-by-step explanation:

[8(3) + 4(2)]10

(24 + 8)10

320

Answer:

[tex]\frac{3x + 8}{36 - 2x} / \frac{27x^2 + 72x}{3x^2 - 27} = \frac{(x - 3)(x+3)}{6x(18 - x)}[/tex]

Step-by-step explanation:

Given

[tex]\frac{3x + 8}{36 - 2x} / \frac{27x^2 + 72x}{3x^2 - 27}[/tex]

Required

Solve

Change / to *

[tex]\frac{3x + 8}{36 - 2x} * \frac{3x^2 - 27}{27x^2 + 72x}[/tex]

Factor out 3

[tex]\frac{3x + 8}{36 - 2x} * \frac{3(x^2 - 9)}{3(9x^2 + 24x)}[/tex]

[tex]\frac{3x + 8}{36 - 2x} * \frac{(x^2 - 9)}{(9x^2 + 24x)}[/tex]

Factorize:

[tex]\frac{3x + 8}{36 - 2x} * \frac{(x^2 - 9)}{3x(3x + 8)}[/tex]

Cancel out 3x + 8

[tex]\frac{1}{36 - 2x} * \frac{(x^2 - 9)}{3x}[/tex]

Factorize:

[tex]\frac{1}{2(18 - x)} * \frac{(x^2 - 9)}{3x}[/tex]

Combine

[tex]\frac{x^2 - 9}{2*3x(18 - x)}[/tex]

[tex]\frac{x^2 - 9}{6x(18 - x)}[/tex]

Express the numerator as a difference of two squares

[tex]\frac{(x - 3)(x+3)}{6x(18 - x)}[/tex]

Hence:

[tex]\frac{3x + 8}{36 - 2x} / \frac{27x^2 + 72x}{3x^2 - 27} = \frac{(x - 3)(x+3)}{6x(18 - x)}[/tex]

Answer:

9,11,16. 4,6,7. 6,8,12

Right. Acute. obtuse

Step-by-step explanation:

obtuse 9,11,16

acute 4,6,7

obtuse 6,8,12

Answer:

[tex]f(x)=600(0.09)^x[/tex]

Step-by-step explanation:

Since f(x) decreases by 9% for every one unit increase in x, it means that f(x) is an exponential decay function. An exponential function is given by:

f(x) = [tex]ab^x[/tex]; where a is the value of f(x) at x = 0, b is the multiplier and is less than 0 for a decay.

Therefore since at x = 0, f(x) = 0. Hence a = 600. Also, b = 9% = 0.09.

The function f(x) can hence be represented as:

[tex]f(x)=600(0.09)^x[/tex]

Answer:

10.3

Step-by-step explanation:

The question is asking to find the length of the hypotenuse of the triangle. This requires us to use the Pythagorean theorem. The legs measure 9 and 5, so we use these to solve for c.

[tex]9^{2} + 5^{2} =c^{2} \\81 + 25 = c^{2} \\106 = c^{2} \\[/tex]                            

We find the square root of both sides to find the value of c.

10.295 ≈ c

Rounded to the nearest tenth, c ≈ 10.3. The answer is 10.3

Answer:

Rodger and Trish will finish the homework together for 30 hours. x=30

Step-by-step explanation:

This is a very simple problem. Its an lcm problem (lcm means lowest common multiple)

To find the lcm you must find the common number the two numbers 5 and 6 share which is 30. Hope that helps, sorry your having a bad day. (i am too bad days suck)

6    5

12   10

18   15

24   20

30   25

       30

And the file the other person shows never work, they are bots (robots) who waste your time answering your questions and waste your brainly points. ugh it gets to annoying.

Roger and Trish can finish 11x/30 of the homework if they work together for x hours.

An expression is combination of variables, numbers and operators.

Let the total amount of work in the math homework is 1.

In one hour, Roger can finish 1/6 of the work, and Trish can finish 1/5 of the work. So, working together for one hour, they can finish:

(1/6) + (1/5)

= (5/30) + (6/30)

= 11/30 of the work.

If they work together for x hours, then they will finish:

x × (11/30) = 11x/30

of the work in x hours.

Therefore, Roger and Trish can finish 11x/30 of the homework if they work together for x hours.

To learn more on Expressions click:

https://brainly.com/question/14083225

#SPJ3

Answer:

100% means “100 out of 100” — in other words, everything. So when you say you have 100% confidence in someone, you mean that you have complete confidence in them. But a lot of times, percentages larger than 100% are perfectly reasonable.!

Answer:

"Improper Fraction"

Step-by-step explanation:

An improper fraction is a fraction where the numerator exceeds the denominator. When the percent is over 100%, then technically the numerator is exceeding the denominator when the percentage is converted to a fraction.

Example:

You can go further by making it a proper fraction but that is beyond the current problem we are solving.

5 because of slope equation

Answer:

Each child ticket cost = $6

Step-by-step explanation:

Joe has = $100

His balance after tickets purchase = $22

Actual amount spent on tickets = $100 - $22 = $78

But,

Each adult ticket cost = $9

Total no of adult = 6

Total amount spent (adults) = $9 x 6 = $54

Balance remaining = $78 - $54 = $24

Amount spent of 4 child tickets = $24

No of children = 4

Therefore,

Amount spent on 1 child (1 ticket),

= $24/4 = $6.

It could be seen that each child ticket cost six dollars.

Answer:

36

Step-by-step explanation:

The sum of the angles of a triangle is 180 degrees

<A+ <B+ <C = 180

2x+6x+2x = 180

10x = 180

Divide by 10

10x/10 = 180/10

x = 18

We want to find <C

<C = 2x

     = 2*18

    = 36

Answer:

Please attach an image.

f(x) = (cost)x

Answer:

c=s*x

Step-by-step explanation:

C will be the total cost of our family's outing to the soccer game

While x will be the hours

and S will be the soccer game

So s*x will equal the cost

Making c=.

Hope this helps!

:D

Answer:

A. 86.7

first, the base. length x width.

it's square, so

5.1 x 5.1= 26.01

then the sides. formula for a triangle is base times height divided by 2.

5.1 x 5.95= 30.345 divided by 2 is 15.1725

there are 4 sides, so multiply times 4

4 x 15.1725= 60.69

now, add the base to the sides

26.01 + 60.69= 86.7

Answer:

Step-by-step explanation:

–10.5 < 3a ⇒ -3.5 < a ⇒ a > -3.5

b/6 ≤ 7 ⇒ b ≤ 42

–4.5c > 9 ⇒ c < - 2

–21/5 ≤ –5/2d ⇒ (-21/5)*(-2/5) ≥ d ⇒ d ≤ 42/25

Answer:

the equation of the hyperbola is y^2/12-x^2/4=1

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

The ans above is A

Answer:

Step-by-step explanation:

Answer:

$583 :)

Step-by-step explanation:

well we know the sales tax is %6 and to find out how much money it is equal to we have multiple $550 x 0.06. after that we get $33. Add $33 to $550 and you get $583!

Answer:

m=2/3

Step-by-step explanation:

Answer:

a. f(-12) = 10

b. f(0) = 1

c. f(4) = -2

Step-by-step explanation:

In order to find the function of each of these numbers, you just need to replace them in the function as x and then solve:

a. f(-12) = 1 - 3/4(-12)

 - f(-12) = 1 - (-36/4)

 - f(-12) = 1 + 9

 - f(-12) = 10

b. f(0) = 1 - 3/4(0)

 - f(0) = 1 - 0

 - f(0) = 1

c. f(4) = 1 - 3/4(4)

 - f(4) = 1 - 12/4

 - f(4) = 1 - 3

 - f4) = -2

Answer:

c

Step-by-step explanation:

dont know if i am right

Answer:

No, 16t -3t equals 13t while 3t - 16t equals -13t

Answer:

No,

16t= 16x2=32

3t=3x2=6

32-6=26

3t=3x2=6

16x2=32

6-32=-26

Step-by-step explanation:

t=2?

Answer:

Step-by-step explanation:

parimeter of a regular hexagon:6a

therefore

=½×[4×6]×2√3 cm²

simplify parentheses:

=½×24×2√3 cm²

simplify fraction:

=24×√3 cm²

=41.57cm²

Answer:

41.57

Step-by-step explanation:

took the test

48+140=188

92+210=302

if you at all it equals 490