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tiny-mole [99]
3 years ago
5

In a triangle the second angle measures twice the first and the third angle measures 5 more than the second. If the sum of the a

ngles measures is 180 , find the measure of each angle
Mathematics
1 answer:
Nostrana [21]3 years ago
8 0

Answer:

Angle 1 = 35

Angle 2 = 70

Angle 3 = 75

Step-by-step explanation:

Let's define Angle 1 as <em>x</em>

<em />

Angle 1 = x

Angle 2 = 2x

Angle 3 = 2x + 5

x + 2x +2x + 5 = 180

5x + 5 = 180

5x = 175

x = 35

Angle 1 = 35

Angle 2 = 70

Angle 3 = 75

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Answer:

The explicit formula for Arithmetic Sequence is a_n=7.02+0.33n

Step-by-step explanation:

Given: Foot length & shoe size in AP.

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From question,

a_{12}-a_7=11-9.33=1.67

Also, we know that

a_{12}=a_7+5d\\5d=a_{12}-a_7\\5d=1.67\\d=\frac{1.67}{5}\\\\d=0.33        

Now, consider

a_7=a_1+6d\\a_7=a+6d\\a=a_7-6d\\a=9.33-6\times0.33\\a=9.33-1.98\\a=7.35

Thus using formula of a_n we get,

a_n=a+(n-1)d\\a_n=7.35+(n-1)\times0.33\\a_n=7.35+0.33n-0.33\\a_n=7.02+0.33n

Therefore, The explicit formula for Arithmetic Sequence is a_n=7.02+0.33n

 

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Step-by-step explanation:

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