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Ksivusya [100]
4 years ago
6

There are 4 consecutive even integers that sum to 332. What is the greatest of these integers

Mathematics
1 answer:
Vikentia [17]4 years ago
4 0

Answer:

86

Step-by-step explanation:

let the numbers be x,x+2,x+4,x+6

Then x+x+2+x+4+x+6=332

4x=332-12=320

x=320/4=80

so numbers are 80,82,84,86

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2 years ago
Given: ∆PQR, m∠R = 90° m∠PQR = 75° M ∈ PR , MP = 18 m∠MQR = 60° Find: RQ
tensa zangetsu [6.8K]

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Step-by-step explanation:

Let MR= x

Since, In triangle, PRQ, tan 75°= \frac{18+x}{RQ}

⇒ RQ=  \frac{18+x}{tan 75^{\circ}}

Now, In triangle MRQ,

tan 60°= \frac{18+x}{RQ}

⇒ RQ=  \frac{x}{tan 60^{\circ}}

On equating both values of RQ,

\frac{18+x}{tan 75^{\circ}}=\frac{x}{tan 60^{\circ}}

⇒\frac{18+x}{x}=\frac{tan 75^{\circ}}{tan 60^{\circ}}

⇒\frac{18+x}{x}=\frac{tan 75^{\circ}}{tan 60^{\circ}}

⇒\frac{18+x}{x}=2.15470053838

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⇒x=15.5884572681≈15.60

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Step-by-step explanation:

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