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2 years ago

Lesson 5: Lines and Triangles Geometry A Unit 4: Parallel and Perpendicular Lines

Mathematics

2 answers:

r-ruslan [8.4K]2 years ago

7 0

Answer:

the value of the angle k is 73° .

Step-by-step explanation:

Great question, it is always good to ask away and get rid of any doubts that you may be having.

Triangles have many important properties that are extremely helpful. One of the most important properties about all triangles is that the sum of all three interior angles sums up to be 180°. This being the case we can sum up the angles already given to us and subtract it from 180° in order to find the missing angle (k).

$62+45 = 107$

$180-107 = 73$

Finally, we can see that the value of the angle k is 73° .

I hope this answered your question. If you have any more questions feel free to ask away at Brainly.

aev [14]2 years ago

3 0

The Triangle Sum Theorem states that the sum of the angles of a triangle equal 180°.
Therefore,
45° + 62° + k = 180
107° + k = 180
k = 73°
The value of k is 73°

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1 year ago

Find the dimensions of a deck which will have railings on only three sides. There is 28 m of railing available and the deck must

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Answer:

The largest possible area of the deck is 87.11 m² with dimensions;

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Step-by-step explanation:

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2 years ago

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1 year ago

You are researching the penguin population in the Falkland Islands. There are 1000 penguins in the beginning of the first year:

kolbaska11 [484]

Answer:

The formula to determine the population of penguins at the end of the 7th year is:

$P_7=1.3^7\cdot P_0=6.275\cdot 1000=6275$

Step-by-step explanation:

With this information, we know that the initial population at end of year 0 is 1000 penguins.

The first year will born 500 chicks (50% of the population) and also 20% of the total population will die.

We can then model the population for the end of year 1 as:

$P_1=P_0+0.5P_0-0.2P_0=1.3P_0$

As this dynamic will continue with the years, we can generalize as:

$P_2=1.3P_1=1.3\cdot (1.3P_0)=1.3^2P_0\\\\P_n=1.3^nP_0$

Then, the value of the population at the end of the 7th year should be:

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1 year ago