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ANEK [815]
3 years ago
9

Look at ABC. which triangle is congruent to ABC by the ASA criterion.

Mathematics
1 answer:
Tpy6a [65]3 years ago
8 0
The answer is triangle 4. Triangle 4 and ABC both are congruent by ASA
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Express answer in exact form. Show all work for full credit.
Gennadij [26K]

Answer:

Area segment = 3/2 π - (9/4)√3 units²

Step-by-step explanation:

∵ The hexagon is regular, then it is formed by 6 equilateral Δ

∵ Area segment = area sector - area Δ

∵ Area sector = (Ф/360) × πr²

∵ Ф = 60° ⇒ central angle of the sector

∵ r = 3

∴ Area sector = (60/360) × (3)² × π = 3/2 π

∵ Area equilateral Δ = 1/4 s²√3

∵ The length of the side of the Δ = 3

∴ Area Δ = 1/4 × (3)² √3 = (9/4)√3

∴ Area segment = 3/2 π - (9/4)√3 units²

4 0
4 years ago
A certain electronics manufacturer found that the average cost C to produce x DVD/Blu- ray players can be found using the equati
NemiM [27]

Answer:

The minimum average cost is $643.75

It should be built 62.5 machines to achieve the minimum average cost

Step-by-step explanation:

The equation that represents the cost C to produce x DVD/BLU-ray players is C = 0.04x² - 5x + 800

To find the minimum cost differentiate C to equate it by 0 to find the average cost per machine and to find the value of the minimum cost

∵ C = 0.04x² - 5x + 800

- Differentiate C with respect to x

∴ \frac{dC}{dx}=0.04(2)x^{2-1}-5(1)x^{1-1}+0

∴ \frac{dC}{dx}=0.08x-5

- Equate \frac{dC}{dx} by 0

∴ 0.08x - 5 = 0

- Add 5 to both sides

∴ 0.08x = 5

- Divide both sides by 0.08

∴ x = 62.5

That means the minimum average cost is at x = 62.5

Substitute the value of x in C to find the minimum average cost

∵ C = 0.04(62.5)² - 5(62.5) + 800

∴ C = 643.75

∵ C is the average cost

∴ The minimum average cost is $643.75

∵ x is the number of the machines

∴ It should be built 62.5 machines to achieve the minimum

   average cost

4 0
3 years ago
Please help!! I'm super confused:(
Andrei [34K]
Mode is singing cause it shows up 7 times
7 0
3 years ago
Please answer this correctly
Hoochie [10]

Answer:

3:48 P.M

because you add all the number making sure it's not greater than 60 and carry over to the next hour if it is

3 0
3 years ago
Read 2 more answers
Which of these tools or constructions is used to inscribe a hexagon inside a circle?
Mariulka [41]
The answer is a) equilateral triangle. If you want to inscribe a hexagon inside a circle, the tools or constructions that should be used is 6 equilateral triangles. If you draw a hexagon inscribed in a circle and draw radii to the corners of the hexagon, you will create triangles, six of them.<span>
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3 0
3 years ago
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