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2 years ago

Find x, y and z for the following triangle. Please show the steps with details, Thanks!

Mathematics

1 answer:

Lubov Fominskaja [6]2 years ago

5 0

Answer:

x = 100°

y = 125°

z = 55°

Step-by-step explanation:

A straight line is 180°

A triangle is 180°

Solve in this order:

X: 180 - 80 = 100

Z: 180 - 80 - 45 = 55

Y: 180 - 55 = 125

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Apply each of the four counting/sampling methods (with replacement and with ordering, without replacement and with ordering, wit

dusya [7]

Answer:

Step-by-step explanation:

I will illustrate this solution with a unique birthday party situation between Jane (the celebrant) and her 10 friends.

In the said party , we will assume that Jane only has 5 chocolates to share among her friends

i. Assuming that the 5 chocolates are of the same type, if she doesn't want to give any friend more than one piece of chocolate, the situation here is said to be WITHOUT REPLACEMENT & UN-ORDERED

n = 10 and k = 5

Total number of possible combinations becomes,

$(\left {n} \atop {k}} \right. )=(\left {10} \atop {5}} \right. )=252$

ii. Assuming that the 5 pieces of chocolate are of the same type and she is willing to give a friend more than one piece of chocolate, the situation is said to be WITH REPLACEMENT & UN-ORDERED

n = 10 and k = 5

Total number of possible combinations becomes,

$(\left {n+k-1} \atop {k}} \right. )=(\left {14} \atop {5}} \right. )=2002$

iii. Assuming that the 5 pieces of chocolate are of different types and she isn't willing to give any friend more than one piece of chocolate, the situation is said to be WITHOUT REPLACEMENT & ORDERED

n = 10 & k = 5

Total number of possible combinations becomes,

$P\left {n} \atop {k}} \right=P\left {10} \atop {5}} \right. =30240$

iv. Assuming the the 5 pieces of chocolate are of different types, if she is willing to give a friend more than one piece of chocolate, the situation is said to be WITH REPLACEMENT & ORDERED

n = 10 AND k = 5

Total number of combinations becomes

$n^k=10^5=100,000$

Sampling with replacement means that one friend can be sampled more than once i.e: A friend receives a piece of chocolate more than once

The order dictates how the sampling is applied.

3 0

3 years ago

A recipe says that 1 3/4 cups of baking soda are needed to make 1 batch of a homemade cleaning product, as represented below. Ho

RSB [31]

Answer:

4 3/8 cups of baking soda

Step-by-step explanation:

1 3/4 cups of baking soda are needed to make 1 batch of a homemade cleaning product,

Cups of baking soda : batches of homemade cleaning

1 3/4 cups : 1 batch

How many total cups of baking soda I needed to make 2 1/2 batches of the cleaning product?

Let x = total cups of baking soda needed

Cups of baking soda : batches of homemade cleaning

x cups : 2 1/2 batches

Equate the ratios

1 3/4 cups : 1 batch = x cups : 2 1/2 batches

7/4 ÷ 1 = x ÷ 5/2

7/4 × 1/1 = x * 2/5

7/4 = 2/5x

Divide both sides by 2/5

x = 7/4 ÷ 2/5

= 7/4 × 5/2

Cross product

x = 35/8

= 4 3/8 cups of baking soda

3 0

3 years ago

Which equation, in point-slope form, represents a line with m= -4/7 that goes through the point (-1, 4)?

Gelneren [198K]

A is the correct answer.

Point Slope Form: y - y₁ = m(x - x₁)

m = slope ⇒ -4/7
Coordinate: (-1 , 4)
x₁ y₁

All you have to do is plug in all of the information above into the formula.

y - 4 = -4/7(x +1)

4 0

3 years ago

Answer fast!!!!!!!!!!!!!!!!!!!!!!!!!!

Veronika [31]

Answer:

Choice b.

Step-by-step explanation:

170 is a little more than half of 330 so that's the onee.

7 0

3 years ago

Seven and thirty twp hundreths plus two and one tenth times two and seven tenths minus 18a

alexdok [17]

Answer: Write the expression as:

" 70 $\frac{32}{100}$ +
2 $\frac{1}{10}$ * 2 $\frac{7}{10$ − 18a " ;
______________________________________________________
or; write as:
______________________________________________________
" 70.32 + (2.1) * (2.7) − 18a " ;
______________________________________________________

To simplify:
______________________________________________________

Using "PEDMAS" (the "order of operations") ;

the "multiplication" comes first;

So: → "(2.1) * (2.7) = 5.67 " .

And rewrite:
______________________________________________________
" 70.32 + 5.67 − 18a " .

Now: " 70.32 + 5.67 = 75.99 " ;

So, we can the final simplified expression as:
______________________________________________________
" 75.99 − 18a " ;

or; write as: " 75 $\frac{99}{100}$ − 18a " .
______________________________________________________

7 0

3 years ago

Find x, y and z for the following triangle. ​Please show the steps with details, Thanks!

Find x, y and z for the following triangle. Please show the steps with details, Thanks!