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Nesterboy [21]
3 years ago
8

How can the lengths of corresponding sides within similar triangles be helpful in finding unknown side lengths?

Mathematics
2 answers:
Minchanka [31]3 years ago
7 0
Can someone help me with this please and thanks !!

klemol [59]3 years ago
4 0
Because you only have to find the length of one side to find the length of the rest of the sides.
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|5-9| = 4

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ABC is the middle line of MN in an equilateral triangle. If AB = 8 cm, then find the perimeter MBN.
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Answer:

the answer is 12

Step-by-step explanation:

since the triangle is equilateral meaning all side of ABC is equal to each other AB= BC = AC= 8cm and MN is the middle line that divides AB and BC by two

thus, MB =BN= 4 cm. MN is the middle line thus will also be equal to the half of AC  meaning MN=AC/2= 4cm. and perimeter  is MBN = MN+MB+BN= 4cm+4cm+4cm =12cm

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3 years ago
At the start of the year a summer holiday to Spain cost £650. It increased by 11% in
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Answer:

Final cost = £779

Step-by-step explanation:

It is given that:

Cost of summer holiday =  £650

Amount increased by 11%

Increased cost = 11% of 650

Increased cost = \frac{11}{100}*650

Increased cost = 0.11 * 650 =  £71.50

Amount after increment = 650 + 71.50 = £721.50

Further increase = 8%

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Final cost = 721.50 + 57.72 =  £779.22

Thus,

Final cost = £779

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Pay the bill using the fewest possible bills/coins
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On Naomi's cell phone plan, the amount she pays each month for international text messages is proportional to the number of inte
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A) The constant of proportionality in this proportional relationship is k = \frac{y}{x}

B) The equation to represent this proportional relationship is y = 0.2x

<h3><u>Solution:</u></h3>

Given that,

The amount Naomi pays each month for international text messages is proportional to the number of international texts she sends that month

Therefore,

This is a direct variation proportion

\text{ amount Naomi pays each month } \propto \text{ number of international texts she sends that month}

Let "y" be the amount that Naomi pays each month

Let "x" be the number of international texts she sends that month

Therefore,

y \propto x

y = kx -------- eqn 1

Where, "k" is the constant of proportionality

Thus the constant of proportionality in this proportional relationship is:

k = \frac{y}{x}

<em><u>Last month, she paid $3.20 for 16 international texts</u></em>

Therefore,

y = 3.20

x = 16

Thus from eqn 1,

3.20 = k \times 16\\\\k = \frac{3.20}{16}\\\\k = 0.2

Substitute k = 0.2 in eqn 1

y = 0.2x

The equation would then be y = 0.2x

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3 years ago
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