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stiks02 [169]
3 years ago
13

What facts are required in order to conclude that m∠ADE = m∠ABC?

Mathematics
1 answer:
mariarad [96]3 years ago
3 0

Answer:

The correct option is;

DE = 2·(BC), AD = 2·(AB), and AE = 2·(AC)

Step-by-step explanation:

Given that we have;

1) The side AD of the angle m∠ADE corresponds to the side AB of the angle m∠ABC

2) The side DE of the angle m∠ADE corresponds to the side BC of the angle m∠ABC

3) The side AE of the angle m∠ADE corresponds to the side AC of the angle m∠ABC

Then when we have DE = 2·(BC), AD = 2·(AB), and AE = 2·(AC), we have by sin rule;

AE/(sin(m∠ADE)) = 2·(AC)/(sin(m∠ABC)) = AE/(sin(m∠ABC))

∴ (sin(m∠ADE)) = (sin(m∠ABC))

m∠ADE) = m∠ABC).

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Because 3 players play in the outfield and there are 9 players all together, you would write the fraction as 3/9. To reduce, you would get 1/3. (Dividing numerator and denominator by 3 because it is a common denominator).
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Simplify the following cube root​
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2 years ago
What is the product of 2x+3 and 4x² - 5x+6?
Pie

Answer:

none

Step-by-step explanation:

(2x+3)(4x^2-5x+6)

factor over

8x^3-10x^2+12x+12x^2-15x+18

combine like terms

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5 0
2 years ago
Max has cashews that sell for $4.75 a pound and peanuts that sell for $2.75 a pound. How much must he mix to get 80 pounds of a
dolphi86 [110]

Answer:

10 lb of cashews and 70 lb of peanuts

Step-by-step explanation:

Let x = the pounds of cashews.

Then 80 – x = the pounds of peanuts

Value of cashews + value of peanuts = volume of mixture

x×4.75 + (80 – x)×2.75 = 80×3     Remove parentheses

   4.75x + 220 - 2.75x = 240        Combine like terms

               2.00x + 220 = 240        Subtract 220 from each side

                          2.00x = 20          Divide each side by 2.00

                                  x = 10 lb

                          80 - x = 80 – 10

                         80 - x = 70 lb

Max will mix 10 lb of cashews with 70 lb of peanuts.

=====

<em>Check: </em>

10×4.75 + 70×2.75 = 80×3.00

    47.50 + 192.50 = 240.00

                240.00 = 240.00


6 0
3 years ago
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The two-way table shows the number of students in a school who have bikes and/or skateboards at home:
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3 years ago
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