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puteri [66]
3 years ago
6

If two angles are both vertical and supplementary, can we determine the angles? Is it possible to be both vertical and complemen

tary? If so, can you determine the angles? Explain how you know.
Mathematics
1 answer:
Lorico [155]3 years ago
3 0

Answer:

i. Two angles can be vertical and supplementary.

ii. Yes, we can determine the angles.

Step-by-step explanation:

When two angles are vertical, it implies that they are equal (with respect to vertical opposite property). While two angles are supplementary if and only if they add up to 180 degrees .

It is not mandatory for the two angles to be beside each other so as to be supplementary. So that in this special case, the only measure of angles that can be both vertical and supplementary is 90 degrees .

This answer is right. Please mark Brainliest!

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tiny-mole [99]

Answer:

6 13/14

Step-by-step explanation:

Convert 2/7 to 4/14 by multiplying both 2/7 by 2/2, to have a common denominator, then add your mixed numbers.

2/7 x 2/2 = 4/14

4/14 + 9/14 = 13/14

4 + 2 = 6

6 13/14

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x=-4

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3 years ago
Find the missing numbers in the table. Then describe the pattern.
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Answer:

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Step-by-step explanation:

Download docx
5 0
2 years ago
Need help filling in the blanks: selling price using markup.
Xelga [282]

Answer:

Refer to the explanation.

Step-by-step explanation:

Let's take each one at a time.

1.

To solve for the complement, we simply subtract our markup rate by 100%.

100% - 30% = 70%

Now to solve for the selling price, we use the formula

SellingPrice=\dfrac{Cost}{ComplementOfMarkupRate}

SellingPrice=\dfrac{86.74}{0.70}

Selling Price = $123.91

2.

We do the same process with the first number.

100% - 40% = 60%

SellingPrice=\dfrac{Cost}{ComplementOfMarkupRate}

SellingPrice=\dfrac{220.00}{0.60}

SellingPrice = $366.67

3.

The same as the first two.

100% - 20% = 80%

SellingPrice=\dfrac{Cost}{ComplementOfMarkupRate}

SellingPrice=\dfrac{89.50}{0.80}

SellingPrice = $111.88

4.

Now to solve for the markup rate, we use the formula:

MarkupRate=\dfrac{Markup}{SelingPrice}

In this case we first need to find the markup. The markup is the difference between the selling price and the cost.

Selling Price = $235.28

Cost = $199.99

Markup = $235.28 - $199.99

Markup = $35.29

Now the we know our markup, we can then solve for the markup rate using the formula.

MarkupRate=\dfrac{Markup}{SelingPrice}

MarkupRate=\dfrac{35.29}{235.28}

MarkupRate = 0.1499 x 100 = 14.99% or 15%

5.

Now for the last one, we need to find for the cost. Let's use the selling price formula to find for the cost.

SellingPrice=\dfrac{Cost}{ComplementOfMarkupRate}

Selling Price = $30.77

Complement = 65% or 0.65

This will then give us.

30.77=\dfrac{Cost}{0.65}

We multiple both sides of the equation by 0.65 to leave our cost alone.

30.77 x 0.65 = Cost

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4 0
3 years ago
Jake wants to buy two pairs of a particular style of sunglasses. The sunglasses are sold at two different stores. Sunglass House
mariarad [96]

Answer:

Based on the calculations, the store with the better buy is The Eyewear Shoppe

Step-by-step explanation:

Jake wants to buy two pairs of a particular style of sunglasses. The sunglasses are sold at two different stores.

For The Eyewear Shoppe:

The Eyewear Shoppe sells the sunglasses for $60 but is having a “Buy 1 Pair, Get 1 Pair Free” promotion.

Based on this promotion, you can get 2 sunglasses for $60

For Sunglass House

Sunglass House sells the sunglasses go 20% off the $40 retail price.

A Sunglass = $40 - ( 20%× $40)

= $40 - $8

= $32

Two sunglasses will cost = $32 × 2

= $64

Therefore, based on the above calculations, the store with the better buy is The Eyewear Shoppe

3 0
3 years ago
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