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Elden [556K]
3 years ago
5

Help please less than 19 minutes to turn in

Mathematics
1 answer:
vagabundo [1.1K]3 years ago
3 0
Angle K = angle M

(4x-1)=(2x+27)

4x-2x=27+1

2x=28

x=14

K=4x-1 then 4(14)-1
55 degrees
M=2x+27 then 2(14) +27
55 degrees
K+M+L =180
55+55+L=180
110+L=180
L=70 degrees
Therefore K=55 degrees M=55 degrees L=70 degrees
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A hexagonal aquarium needs to hold 10 gallons of water and be 24 inches tall. What should be the area of the hexagon?
kondaur [170]

Answer:

240

Step-by-step explanation:

8 0
3 years ago
Sam is getting ready for a big date when he realizes that he has no money. His roommate, Bill, also has no money, but he has a c
slava [35]
Cash advance = 120

annual interest rate = 30% compounded monthly
<span>
term = 5 years

</span><span>A = P (1 + r/n)^nt

</span>A = future value of the cash advance

P = principal or value of cash advance


r = interest rate

n = times interest is compounded
<span>
t = terms or years</span>

A = 120 (1 + 30%/12)^12 * 5

A = 120 (1 + 0.025)^60

A = 120 (1.025)^60

A = 120 (4.40)
<span>
A = 528

</span>528 total amount including principal.
528 - 120 = 408 total interest paid 
I hope this helps!!
6 0
3 years ago
Read 2 more answers
The commission rate is 21%. What commission do I earn on the sale of $12,500 worth of windows? Also, what are the steps to solvi
34kurt

Answer:

  $2625

Step-by-step explanation:

A commission rate of 21% means you get a commission that is 21% of the value of the sale. To find this amount, multiply the value of the sale by 21%. Of course, you know that 21% = 21/100 = 0.21.

  21% · $12,500 = $2,625

You earn $2625 on the sale.

6 0
3 years ago
Read 2 more answers
The length of a rectangle is 4 less than three times the width. The area of the rectangle is given by the formula A = l × w. Whi
Masja [62]

Answer:

C) A = 3w^{2}  - 4w

Step-by-step explanation:

First, read through what the question is asking.

Now, read it again, but slowly and take in everything it is saying (Don't read into it too slowly, or else you will over-complicate the problem and get frustrated - told from experience :) )

Alright, 4 less than 3 times the width. So, lets rearrange this and give width a variable (w).

So, the length is equal to:

l = 3w - 4

and the width is equal to:

w = w

The area of a rectangle is A = l * w

Let's plug in the values.

A = (3w - 4) * w

Now, simplify:

A = 3w^{2}  - 4w

A = 3w^{2}  - 4w is your final answer.

I hope this helps!

6 0
4 years ago
Ali, Carrie and Bryan received a sum of money. Bryan's money was 3/5 as much as Ali's money. The ratio of Ali's money to Carrie'
monitta

Answer:

The sum of money received by Ali, Carrie and Bryan is $ 740.

Step-by-step explanation:

At first we translate mathematically each sentence:

(i) <em>Ali, Carrie and Bryan received a sum of money. </em>

a - Ali's money.

b - Bryan's money.

c - Carrie's money.

(ii) <em>Bryan's money was </em>\frac{3}{5}<em> of  Ali's money</em>.

b = \frac{3}{5}\cdot a (1)

(iii) <em>The ratio of Ali's money to Carrie's money was 4 : 1</em>.

\frac{a}{c} = 4 (2)

(iv) <em>Ali had $ 160 more than Bryan</em>.

a = b + 160 (3)

After some algebraic handling, we have the following system of linear equations:

3\cdot a - 5 \cdot b = 0 (1b)

a - 4\cdot c = 0 (2b)

a - b = 160 (3b)

The solution of the system is: a = 400, b = 240, c = 100

The sum of money is:

s = a + b + c

s = 740

The sum of money received by Ali, Carrie and Bryan is $ 740.

4 0
3 years ago
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