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2 years ago

Find the measure of each angle please?

Mathematics

2 answers:

BlackZzzverrR [31]2 years ago

6 0

Hi!

The measure of angle x is 60 degrees so the measure of angles 2x is 120 degrees.

Veronika [31]2 years ago

3 0

Each exterior angle measuring 2x forms a linear pair with an interior angle measuring an unknown measure. Angles in a linear pair are supplementary.
Since both interior angles are supplementary to congruent angles, they are congruent.
Let z be the measure of each upper interior angle.

2x + z = 180

z = 180 - 2x

Each upper interior angle measures 180 - 2x.

The sum of the measures of the interior angles of a triangle is 180.

180 - 2x + 180 - 2x + x = 180

-3x + 360 = 180

-3x = -180

x = 60

One interior angle measures x, so it measures 60 deg.
The other two interior angles measure 180 - 2x = 180 - 2(60) = 180 - 120 = 60

Answer: all interior angle measure 60 deg.
The exterior angles shown measure 120 deg each.

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How long does it take to travel 240 km at a constant speed of 12 km/h?

tankabanditka [31]

Answer:

It will take 12 hours

Step-by-step explanation:

Distance equals rate times time

d = rt

We know the distance and the rate

240 = 12 * t

Divide each side by 12

240/12 = 12t/12

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3 years ago

William had $45 dollars to spend on Vegetables. After buying 6 watermelons , he had $25.50 left .how much did each watermelons c

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2 years ago

Help i only have a day. 5% of what number is 12? Round your answer to the nearest tenth place if necessary. (Use any method to s

maw [93]

Answer:

240

Step-by-step explanation:

So here’s the step by step (for the show your work thingy)

so we can write an equation

0.05x=12

We use 0.05 becuase 5 percent is basically 5/100 and the x is used becuase we don’t know what the number is and the =12 is for the number that came out as a final result

ow we can solve the equation

x=12/0/05

x=240

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2 years ago

If the area of a baseball diamond (shape of a square) is 8100 ft squared, how would you find the distance from 1st base to 3rd b

Readme [11.4K]

Answer:

Exact distance = $90\sqrt{2}$ feet
Approximate distance = 127.2792 feet.

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Explanation:

The area of the square is 8100 square feet, abbreviated ft^2.

Apply the square root to find the distance from any base to its adjacent counterpart (eg: from 1st to 2nd base). So we get sqrt(8100) = 90 ft as that side distance. Notice that 90*90 = 8100.

If you were to draw a line from 1st base to 3rd base, then you would split the square into two congruent right triangles. Each right triangle is isosceles (the two legs being 90 ft each).

Use the pythagorean theorem to find the hypotenuse.

$a^2 + b^2 = c^2\\\\c = \sqrt{a^2+b^2}\\\\c = \sqrt{90^2+90^2}\\\\c = \sqrt{2*90^2}\\\\c = \sqrt{2}*\sqrt{90^2}\\\\c = \sqrt{2}*90\\\\c = 90\sqrt{2} \ \text{ ... exact distance}\\\\c \approx 127.2792 \ \text{ ... approximate distance}\\\\$

The distance from 1st to 3rd base is roughly 127.2792 feet.

5 0

1 year ago