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3 years ago

What is the measure of angle Y?

Mathematics

1 answer:

ollegr [7]3 years ago

7 0

Answer:

Y=70

Step-by-step explanation:

For starters, all the interior angles inside a pentagon add up to 540. This number can be found for any polygon with the forumla (n-2)180. N stands for the number of sides and then you plug it into the equation. For instance, if we wanted to find it for a triangle, we would see that the triangle has three sides and plug it into the formula. (3-2)180 which equals 180. For the ptenagon we take the fact that it has five sides and add it into the equation. (5-2)180 which equals 540. So now that we know all the interior angles are supposed to add up to 540, we can find the value of Y. So let's start by finding what amount we already have.

T=110

A=150

D=120

O=90 (this is beacuse of the right angle square placed which equals 90 degrees)

All those angles add to 470 degrees. So to find the last angle, you would subtract our total of 470 from our interior angle total of 540.

540-470=70

Y=70.

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A tiny songbird called the blackpoll warbler migrates each fall from North America. A tracking study showed one bird flew from V

Alexus [3.1K]

Answer:

Step-by-step explanation:

Given the map coordinates o a bird during travel from Vermont at cordinate (63,45) toto Venezuela at map coordinates (67,10). In order to know how far the bird has travelled, we need to find the distance between the two coordinates first using the formula;

D = $\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Given x₁ = 63, y₁ = 45, x₂ = 67, y₂ = 10

$D =\sqrt{(67-63)^2+(10-45)^2}\\ \\D = \sqrt{4^2+(-35)^2} \\\\D = \sqrt{16+1225} \\\\D = \sqrt{1241} \\\\D = 35.2278$

If each map coordinate represents 75 kilometers, then the birds distance in km will be 75*35.2278 = 2642.087km

Hence the birds distance in km will be 2642km to the nearest kilometers

4 0

3 years ago

PLZZZZ HELPPPPPP THIS IS TIMEDDDD!!!! *look at picture*

Kazeer [188]

Answer:

Height of the building = 50.8 ft

Step-by-step explanation:

A person and a building are casting the shadows at the same time of the day.

Triangles formed by the person and his shadow and the building and its shadow will be similar.

Therefore, corresponding sides of the similar triangles will be proportional.

$\frac{x}{28}=\frac{5.8}{3.2}$

x = $\frac{5.8\times 28}{3.2}$

x = 50.75

x ≈ 50.8 ft

5 0

3 years ago

Read 2 more answers

You might need: What is the next term of the geometric sequence? -1/7, 4/7, -16/7<br>

Kryger [21]

A4= 64/7 a5=-256/7 a6=1024/7

5 0

3 years ago

Read 2 more answers

PLEASE HELP ASAP!! WORDED QUADRATIC QUESTIONS!!!

Roman55 [17]

Answer:

x² - 5x = 14

x = -2 or x = 7

Step-by-step explanation:

x² - 5x = 14

x² - 5x - 14 = 0

(x+2)(x-7) = 0

x = -2 or x = 7

4 0

2 years ago

The two toy store owners agree to specialize and to trade 30 puzzles for 10 puppets. The terms of trade are still 3 puzzles for

likoan [24]

Based on the exchange rate, at the end of the trade, Lewis will have 31 puppets and 2 puzzles left over while Geppeto will have 158 puzzles and 4 puppets left over.

<h3>What is the exchange rate of puzzles for puppets?</h3>

The exchange rate of puzzles for puppets is 3 to 1.

Geppeto has 20 puppets to exchange for puzzles.

Lewis has 50 puzzles to exchange for puppets.

Number of times Lewis can exchange puzzles for puppets = 50/3 = 16 times.

Lewis will get 16 puppets in exchange for 48 puzzles.

Therefore;

Lewis will have 16 + 25 puppets = 31 puppets and 2 puzzles left over

Geppeto will have 48 + 100 puzzles = 158 puzzles and 4 puppets left over.

in conclusion, the exchange rate determines the how many puzzles and puppets will each one have after they complete their trade.

Learn more about exchange rate at: brainly.com/question/2202418

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7 0

2 years ago