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3 years ago

Find the values of the variables in the parallelogram. The diagram is not to scale.

Mathematics

1 answer:

Angelina_Jolie [31]3 years ago

5 0

Answer:

x=31°, y=52°,z=97°

Step-by-step explanation:

The interior angles of a triangle sum up to 180°

y°+ 31°+ 97°= 180°

y° = 180 - 31° - 97°

y=180°-128°

y° = 52°

Alternative angles are equal

x= 31°

Two opposite angles of a parallelogram are equal

z°= 97°

Therefore x=31°,y=52° and z=97°

The last choice is correct.

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(15points) Please help me with this bonus!! I really need help!!

jeka57 [31]

Solve each equation separately:

(-1, 3) Has to be a point that fits both equations

y = 2x + ____

Plug in Values:

3 = 2(-1) + ____

3 = -2 + ____

___ = 5

First Blank: 5

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4 = ___(-1)

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7 0

3 years ago

Read 2 more answers

A textbook search committee is considering

lora16 [44]

Number of ways to select 3 books from 13 books for adoption is 286 .

<u>Step-by-step explanation:</u>

A Permutation is an ordered Combination. When the order does matter it is a Permutation. There are basically two types of permutation:

Repetition is Allowed: such as the lock above. It could be "333".

No Repetition: for example the first three people in a running race. You can't be first and second.

Formula is given by:

$nC_r= \frac{n!}{r! (n-r)!}$ , where n is the number of things to choose from, and we choose r of them, no repetitions, order matters. Here , n=13 , r=3.

⇒ $13C_3 = \frac{13!}{3!(13-3)!}$

⇒ $13C_3 = \frac{13!}{3!(10)!}$

⇒ $13C_3 = \frac{13(12)(11)10!}{3(2)(1)(10)!}$

⇒ $13C_3 = 13(2)(11)$

⇒ $13 C_3 = 286$

∴ Number of ways to select 3 books from 13 books for adoption is 286 .

3 0

3 years ago

For every pound a company spends on advertising, it spends £0.43 on its website. Express the amount spent on advertising to its

Wittaler [7]

Answer:

£1 : £0.43

Step-by-step explanation:

So to make the ratio, you need the amount of money spent on advertising and the money spent on its website

Website money = £0.43

Advertising money = £1

£1 : £0.43

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3 years ago

The area of the base of a cube is 36in^2. what is the total surface are of the cube ?

miv72 [106K]

If area is 36in² then multiply that by 6 as there are 6 faces
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8 0

3 years ago

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Licemer1 [7]

Answer:

yes 24

Step-by-step explanation:

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2 years ago