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olga_2 [115]
3 years ago
12

An angle measures 124º more than the measure of its supplementary angle. What is the measure of each angle?

Mathematics
1 answer:
HACTEHA [7]3 years ago
5 0

Answer:

I believe 152 and 28

Step-by-step explanation:

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Logs are stacked 7 rows high. The top row has 15 logs, the second row has 18 logs, and the third row has 21 logs. This pattern c
EastWind [94]
The answer is 168 logs.

1st row:          15 logs
2nd row:        18 logs
3rd row:         21 logs
(so, each row has 3 more logs)
4th row:         24 logs
5th row:         27 logs
6th row:         30 logs
7th row:         33 logs

The sum of logs from each row is: 15 + 18 + 21 + 24 + 27 + 30 + 33 = 168 logs
4 0
3 years ago
Read 2 more answers
The ratio of two similar polygons is 3:5. The perimeter of the larger polygon is is 150 centimeters. What is the perimeter of th
Effectus [21]
Think of it like this 3/5=x/150
4 0
3 years ago
Consider the function g(x) = (x-e)^3e^-(x-e). Find all critical points and points of inflection (x, g(x)) of the function g.
Elden [556K]

Answer:

The answer is "cirtical\  points \ (x,g(x))\equiv  (e,0),(e+3,\frac{27}{e^3})"

Step-by-step explanation:

Given:

g(x) = (x-e)^3e^{-(x-e)}

Find critical points:

g(x) = (x-e)^3e^{(e-x)}

differentiate the value with respect of x:

\to g'(x)= (x-e)^3 \frac{d}{dx}e^{e-r} +e^{e-r}  \frac{d}{dx}(x-e)^3=(x-e)^2 e^{(e-x)} [-x+e+3]

critical points g'(x)=0

\to (x-e)^2 e^{(e-x)} [e+3-x]=0\\\\\to e^{(e-x)}\neq 0 \\\\\to (x-e)^2=0\\\\ \to [e+3-x]=0\\\\\to x=e\\\\\to x=e+3\\\\\to x= e,e+3

So,

The critical points of (x,g(x))\equiv  (e,0),(e+3,\frac{27}{e^3})

7 0
3 years ago
Four pounds of bananas cost $1.96 . How much does it cost per pound ?
Troyanec [42]
1.96 divided by 4 is 48.5 cents round it to get 49 cents
so 49 cents per pound

7 0
3 years ago
You design the wooden picture frame and paint the front surface.
Hitman42 [59]

Answer:

  • a) 8x + 28
  • b) 68 in²

Step-by-step explanation:

a)

<u>Area of the frame with picture:</u>

  • A = lw
  • A₁ = (x + 4)(x + 7) = x² + 11x + 28

<u>Area of the picture:</u>

  • A₂ = x(x + 3) = x² + 3x

<u>Area of the wooden frame is the difference of the above values:</u>

  • A₃ = A₁ - A₂
  • A₃ = x² + 11x + 28 - x² - 3x
  •     = 8x + 28

b)

<u>When x = 5, the picture frame area is:</u>

  • A₃ = 8*5 + 28 = 40 + 28 = 68 in²
4 0
2 years ago
Read 2 more answers
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