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lapo4ka [179]
3 years ago
12

a tune up automotive facility marks up its parts by 45%. suppose that the facility charges its customers 2.32 for each spark plu

g it sells. what is the facilities cost for each spark plug?
Mathematics
1 answer:
V125BC [204]3 years ago
4 0

Answer:

$1.6

Step-by-step explanation:

The price of $2.32 already includes the 45% mark up hence taking the original cost to be x, it means the cost of $2.32 is 145% of the original cost

Using the concept of cross multiplication we say that if

1.45 is equivalent to $2.32

1 is equivalent to x

x=\frac {2.32}{1.45}=1.6

Therefore, the company incurs $1.6 for each plug

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You know the measure of the exterior angle which forms a linear pair with the vertex angle. Describe two ways you can find measu
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Step-by-step explanation:

A linear pair are two given angles whose sum is equal to 180^{o}.

Let the exterior angle be represented by x^{o}, and the three interior angles of the triangle be represented by a^{o}, b^{o} and c^{o}.

Assume that the vertex angle c^{o} is the linear pair to the exterior angle x^{o}.

i.e            x^{o} + c^{o} = 180^{o}  (sum of angles on a straight line)

Thus,

i. a^{o} +  b^{o} = x^{o}  (sum of two opposite interior angles is equal to an exterior angle)

⇒ a^{o}  = x^{o} - b^{o}

Also,

b^{o}  = x^{o} - a^{o}

But,

a^{o} + b^{o} + c^{o} = 180^{o}   (sum of angles in a triangle)

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and

a^{o} + b^{o} = 180^{o} - c^{o}

ii. a^{o} + b^{o} + c^{o} = 180^{o}   (sum of angles in a triangle)

a^{o} = 180^{o} - (b^{o} + c^{o})

Also,

a^{o} +  b^{o} = x^{o}

⇒ b^{o} = x^{o} - a^{o}

c^{o} = 180^{o} - x^{o}

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