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3 years ago

Identify the angle measures of PQRS. I'm so confused, please help me! SHOW YOUR WORK!!

Mathematics

1 answer:

Dennis_Churaev [7]3 years ago

3 0

10y + 7 + 3(3y + 7) = 180

10y + 7 + 9y + 21 = 180

19y + 28 = 180

19y = 180 - 28

19y = 152

y = 152/19

y = 8

Plug back into Q and S.

Q = 10y + 7

Q = 10(8) + 7

Q = 80 + 7

Q = 87

S = 3(3y + 7)

S = 9y + 21

S = 9(8) + 21

S = 72 + 21

S = 93

Without solving for x to find the other angles, we can easily see that the answer is choice C.

Answer:

P = 61°

Q = 87°

R = 119°

S = 93°

Done!

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Find the surface area of a hexagonal prism if the length of each side of the hexagonal base is 4 cm and the height is 7 cm.

olya-2409 [2.1K]

The surface area of a hexagonal prism willl be 251.13844 cm².

<h3>What is the surface area?</h3>

The total land area of all the faces of a three-dimensional object is its surface area. When we wish to wrap something in real life, we employ the notion of surface areas of distinct things.

A=6ah+3√3a²

A=6×4×7+3√3×4²

A≈251.13844

Hence the surface area of a hexagonal prism willl be 251.13844 cm².

To learn more about the surface area, refer to the link;

brainly.com/question/2835293

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2 years ago

Trent walks 133 yards due south, then 168 yards due west and finally 293 yards due north. How far is Trent from his starting poi

Deffense [45]

Answer:

164 yards

Step-by-step explanation:

take 293 minus 133 and get 160 then take 168

then add them together then divide by 2

You will get:

do not forget your units

4 0

3 years ago

a coin is flipped eight times where each flip comes up either heads or tails. how many possible outcomes: 1). are there in total

Ymorist [56]

There are 256 ways in total and 56 possible outcomes contain exactly three heads. The possible outcomes contain at least three heads is 219.

Consider the provided information.

A coin is flipped eight times where each flip comes up either heads or tails.

Part (a) How many possible outcomes are there in total?

Each time we flip a coin it comes up either heads or tail.

Therefore the total number of ways are: 2⁸ = 256

Hence, there are 256 ways in total.

Part (b) contain exactly three heads?

We want exactly 3 heads, therefore,

n=8 and r=3

According to the definition of combination:

To get exactly 3 heads,

n=8 and r=3

(⁸C₃ ) = 8! / 3!(5!) = 56.

Therefore, there are 256 ways in total and 56 possible outcomes contain exactly three heads. The possible outcomes contain at least three heads is 219.