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3 years ago

Write a two colon proof for each

Mathematics

1 answer:

Sladkaya [172]3 years ago

3 0

We use the SSS congruence rule to prove the triangles to be congruent. From there, we then use CPCTC to show that angle I is congruent to angle L.

This is shown in the two column table (attached image below)

-----------

Notes:

SSS = side side side

CPCTC = corresponding parts of congruent triangles are congruent

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an aircraft carrier leads port heading due west at 28 knots. A helicopter is 175 nautical miles from the carrier at an angle of

emmainna [20.7K]

Let’s say it takes time t hours for the interception.
In that time the carrier travels 28t nm west and the helicopter 130t nm.
Now we use the sine rule to find the angle x which lies between the distance 175 and 130t.
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3 years ago

More on Areas. Farmer Jones, and his wife, Dr. Jones, both mathematicians, decide to build a fence in their field to keep the sh

Olin [163]

Answer:

Area covered by the fences will be 16.1 unit²

Step-by-step explanation:

Let the first parabola is represented by the function f(x) = 6x²

and second parabola by g(x) = x² + 9

point of intersection of the graphs will be determined when f(x) = g(x)

6x² = x² + 9

5x² = 9

x² = 1.8

x = ± 1.34

Now we will find the area between these curves drawn on the graph.

Area = $\int_{-1.34}^{1.34}[f(x)-g(x)]dx=\int_{-1.34}^{1.34}[6x^{2}-(x^{2}+9)]dx$

= $\int_{-1.34}^{1.34}(5x^{2}-9)dx$

= $[\frac{5}{3}x^{3}-9x]_{-1.34}^{1.34}$

= $[\frac{5}{3}(-1.34)^{3}-9(-1.34)-\frac{5}{3}(1.34)^{3}+9(1.34)]$

= $[-4.01+12.06-4.01+12.06]$

= 16.1 unit²

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3 years ago

Find the quotient. (6 1/2 ÷ 3 2/3) ....1 17/22 23 5/6 21/3 2 3/4

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Answer:

1 17/22

Step-by-step explanation:

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2 years ago

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I got the same exact question from someone else couple min earlier. Here you go:)

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3 years ago

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dalvyx [7]

Step-by-step explanation:

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3 years ago

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