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mamaluj [8]
3 years ago
15

Please help on geometry

Mathematics
1 answer:
kondor19780726 [428]3 years ago
7 0

Answer:

The Proof with Statement and Reasons is given below.

Step-by-step explanation:

Given:

∠DAF ≅ ∠EBF,

DF ≅  FE

Prove:

Δ ADF ≅ Δ BFE

Proof:

        Statements                                 Reasons

a. ∠DAF ≅ ∠EBF       ...........................Given

48. <u>∠DFA ≅ ∠EFB </u>  ..........................Vertical Angles are congruent

DF ≅  FE                  ...........................49. <u>Given</u>

50.<u> Δ ADF ≅ Δ BFE </u> .........................<u>By Angle-Angle-Side tes</u><u>t</u>

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If a gardner plants beans in 1/8 of a plot and tomatoes in 1/6 of a plot, what fraction of the garden is left for other crops
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You simply have to sum the two fraction together to get the total amount of occupied plot. To do so, multiply both numerator and denominator of each fration by the same number, so that they end up having the same denominator.

You can multiply both numerator and denominator of 1/8 by 3 to get 3/24. Similarly, you can multiply both numerator and denominator of 1/6 by 4 to get 4/24.

Now we can easily sum the two fractions together:

\dfrac{1}{8}+\dfrac{1}{6}=\dfrac{3}{24}+\dfrac{4}{24} = \dfrac{7}{24}

So, if 7 parts out of 24 are occupied, it means that there are 24-7=17 parts left for other crops. So, the answer is 17/24.

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Step-by-step explanation:

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2 years ago
Find the exact location of all the relative and absolute extrema of the function. HINT [See Examples 1 and 2.] (Order your answe
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Answer:

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Step-by-step explanation:

There will be extremes at the ends of the domain interval, and at turning points where the first derivative is zero.

The derivative is ...

  h'(t) = 24t^2 -48t = 24t(t -2)

This has zeros at t=0 and t=2, so that is where extremes will be located.

We can determine relative and absolute extrema by evaluating the function at the interval ends and at the turning points.

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The extrema are ...

  • (-1, -32) absolute minimum
  • (0, 0) relative maximum
  • (2, -32) absolute minimum
  • (+∞, +∞) absolute maximum

_____

Normally, we would not list (∞, ∞) as being an absolute maximum, because it is not a specific value at a specific point. Rather, we might say there is no absolute maximum.

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Answer:

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