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Marianna [84]
2 years ago
10

Given the diagram above ...

Mathematics
1 answer:
iogann1982 [59]2 years ago
5 0

Answer:

1) Angles 1 and 4, 2 and 3, 5 and 8, 6 and 7.

2) angles 3 and 6, 4 and 5.

3) angles 1 and 5, 2 and 6, 3 and 7, 4 and 8.

Step-by-step explanation:

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Please help!! I don’t get it
Marrrta [24]

Answer:

Each hotdog costs $1.65

Each juice drink costs $1.05

Step-by-step explanation:

Let's begin by letting x represent the number of hot dogs and y the number of juice drinks.

The Baxter family bought 6 hot dogs and 4 juices for $14.10.

6x + 4y = 14.10

The Farley family bought 3 hot dogs and 4 juices for $9.15.

3x + 4y = 9.15

Now, we subtract these equations.

6x + 4y = 14.10\\- (3x + 4y = 9.15)

Since y has reversed coefficients, it gets eliminated. Now solve for x.

6x+4y-3x-4y=14.1-9.15\\3x = 4.95\\\frac{3x}{3} = \frac{4.95}{3}

\frac{4.95}{3} = 1.65

x = 1.65

NOW, we find y by substituting x with 1.65 (in either equation).

We'll use the first equation.

6x + 4y = 14.10

6(1.65) + 4y = 14.10

9.9 + 4y = 14.10\\4y = 14.1 - 9.9\\4y = 4.2

\frac{4y}{4} = \frac{4.2}{4} \\y = 1.05

x = 1.65

y = 1.05

x represents hotdogs and y represents juice drinks.

Therefore, each hotdog costs $1.65 and each juice drink costs $1.05.

<em> I hope this helps! :)</em>

6 0
3 years ago
Joe has one book each for algebra, geometry, history, psychology, Spanish, English and Physics in his locker. How many different
Alisiya [41]

Answer:

There are 35 different sets of 3 books Joe could choose

Step-by-step explanation:

* Lets explain how to solve the problem

- Combination is a collection of the objects where the order doesn't

 matter

- The formula for the number of possible combinations of r objects from

 a set of n objects is nCr = n!/r!(n-r)!

- n! = n(n - 1)(n - 2)................. × 1

Lets solve the problem

- Joe has one book each for algebra, geometry, history, psychology,

 Spanish, English and Physics in his locker

∴ He has <em>seven</em> books in the locker

- He wants to chose <em>three</em> of them

∵ The order is not important when he chose the books

∴ We will use the combination <em>nCr</em> to find how many different sets

  of three books he can choose

- The total number of books is 7

∴ n = 7

∵ He chooses 3 of them

∴ r = 3

∵ 7C3 = 7!/3!(7 - 3)! = 7!/3!(4!)

∴ 7C3=\frac{(7)(6)(5)(4)(3)(2)(1)}{[(3)(2)(1)][(4)(3)(2)(1)]}=35

∴ 7C3 = 35

* There are 35 different sets of 3 books Joe could choose

3 0
3 years ago
Express the following as a unit rate :<br><br> 5 croissants for $10
raketka [301]

Answer:

$2/croissant

Step-by-step explanation:

$10÷ 5croissants = $2/ 1 croissant

7 0
3 years ago
Which solid has two bases that are triangles and three lateral surfaces that are rectangles
Amiraneli [1.4K]
A triangular pyramid has 3 rectangular sides and a top and bottom triangular base.
3 0
3 years ago
Juan is painting the floor of an outdoor racquetball court. He knows that 1 gallon of paint will cover the shaded area shown bel
Ahat [919]

Answer:oof Juan is painting the floor of an outdoor racquetball court. He knows that 1 gallon of paint will cover the shaded area shown below. If it takes Juan 3h hours to apply 1 gallon of paint, approximately how many hours will it take him to paint the entire court? Show your work or explain in words.

Step-by-step explanation:

6 0
3 years ago
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