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Nat2105 [25]
4 years ago
13

Triangle ABC is similar to triangle LMN by the AA Similarity Postulate. Also, m∠A = 129° and m∠C = 2(m∠M). What is m∠M?

Mathematics
1 answer:
Elza [17]4 years ago
4 0
Again, this is a triangle so the sum of the angles must be 180°, so we can say:

a+b+c=180, we are told a=129, b=2c, we will let c=M°

129+2c+c=180 combine like terms on left side

129+3c=180 subtract 129 from both sides

3c=51 divide both sides by 3

c=17°

So angle M=17°
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The spending limit on John's credit card is given by the function f(t) = 15,000 + 1.57, where x is his monthly income. 1-13) $60
coldgirl [10]
1.
"The spending limit on John’s credit card is given by the function f(x)=15,000+1.5x"

means that if the monthly income of John is $ 5,000 ,he can spend at most

f(5,000)=15,000+1.5*5,000=15,000+ 7,500=22, 500 (dollars)

Or for example

if Johns monthly income is $8,000, then he can spend at most

f(8,000)=15,000+1.5*8,000=15,000+ 12,000=27,000 (dollars)


2.
Now, assume that the maximum amount that John can spend is y.

Then, y=15,000+1.5x

we can express x, the monthly income, in terms of y by isolating x:

y=15,000+1.5x

1.5x = y-15,000
X=y-15,000/1.5

thus, in functional notation, x, the monthly income, is a function , say g, of variable y, the max amount:
X=g(y) y-15000/1.5
since we generally use the letter x for the variable of a function, we write g again as:

G (x) x-15000/1.5
tells us that if the maximum amount that John can spend is 50,000 $, then his monthly income is 23,333 $.

3.

If John's limit is $60,000, his monthly income is
G(600,000)=60,000-15,000/ 1.5=45,000/1.5 =30,000

dollars.


Answer: $ 30,000

Remark: g is called the inverse function of f, since it undoes what f does.

instead of g(x), we could use the notation
5 0
3 years ago
What is the total surface area of a cylindrical tank having
UkoKoshka [18]

Answer:

Could be C) or D) None of these, 29688.05cm^2

Step-by-step explanation:

Did the question to round off to any numbers?

Formula for cylinder's T.S.A: 2 π r h + 2 π r^2

Diameter= 2 x radius

Radius = 70cm / 2 = 35cm

Height -> need to convert m to cm -> 100cm

Substitute these values into the formula:

2 x π  x 35 x 100 + 2 x π x (35)^2 = 29688.05cm^2

8 0
3 years ago
if you have an accurate, complete scale drawing and the scale, which measurements of the objects of the drawing can you find
devlian [24]
Do you have answer choices?
7 0
3 years ago
What is 0.68 expressed as a fraction in simplest form? Both the 6 and the 8 repeat.
andreev551 [17]

Answer:

68/99

Step-by-step explanation:

.68686868686 repeating

Let x= .68686868668repeating

Multiply by 100

100x = 68.686868686repeating

Subtract x = .68686868repeating from this equation

100x = 68.686868686repeating

-x = .68686868repeating

------------------------------------------

99x = 68

Divide each side by 99

99x / 99 = 68/99

x = 68/99

3 0
3 years ago
Find the LCD 4/7 and 3/5
blsea [12.9K]
I would multiply 4/7 by 5 and 3/5 by 7 to get 20/35 and 21/35. The Least Common factor is 35
8 0
3 years ago
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