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Makovka662 [10]
2 years ago
7

14. Are the two triangles similar?

Mathematics
1 answer:
kogti [31]2 years ago
3 0

Answer: Not similar

Step-by-step explanation:

As angles in a triangle add to 180 degrees, the third angle in the left triangle is 180^{\circ}-30.4^{\circ}-84.6^{\circ}=65^{\circ}

Since the corresponding angles are not congruent, the triangles are not similar.

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k0ka [10]

Answer:

a) 13/20 and 0.65

b) $13

c) $33

d) $455

e) $3.3

f) $29.7

g)$339.5

Step-by-step explanation:

Each hoodie costs the trader $20 and he intends to sell it at a Percentage markup of 65%

a) Write a percentage Markup value as a

I) Fraction

Percentage Markup = 65%

65% = 65/100 = 13/20

II) Decimal

= 65% = 65/100 = 0.65

b) Calculate the value of Markup of each hoodie

This is calculated as:

65% × Cost price

= 65% × $20

0.65 × $20 = $13

c) What price would the hoodies be?

Cost price of hoodie = $20

Percentage Markup = 65%

The selling price = x

Percentage Markup = Selling price - Cost price/Cost price

65% = x - $20/$20

Cross Multiply

0.65 × $20 = x - $20

13 = x - $20

x = $20 + 13

x = $33

Therefore, the selling price = $33

d) If the seller sells 35 hoodies on her first day, what is her profit.

Profit = Selling price - Cost price

Profit = $33 × 35 hoodies - $20 × 35 hoodies

Profit = $1155 - $700

Profit = $455

We are told that to improve sales, the seller gives a discount of 10% on selling price

Hence:

Selling price = $33

e) What is the discount amount for each hoodie

Discount Amount = % Discount × Selling price

Discount Amount = 10% × $33

= $3.3

f) What is the new selling price =

Old selling price - Discount amount

= $33 - $3.3

= $29.7

g) What profit does the seller make on each hoodie after the 10% discount for 35 hoodies

Profit = Selling price - Cost price

Profit = $29.7 × 35 hoodies - $20 × 35 hoodies

Profit = $1039.5 − $700

= $339.5

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Step-by-step explanation:

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Step-by-step explanation:

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