6. 
⇒ Ten to the third power
7.
⇒ Ten to the fifth power
7.
M 1 = (2x + 28) m 3= (6x + 4) What is m<2 Enter your answer in the box.
1 answer:
Answer:
m∠2 = 140°
Step-by-step explanation:
m∠1 = m∠3, since they're vertical angles.
Solve for x:
Plug in 6 for x for either m∠1 or m∠3. Doesn't matter since they're equal.
m∠1 = (2(6) + 28)°
m∠1 = (12 + 28)°
m∠1 = 40°
Now that we know m∠1, we can now solve for m∠2.
m∠1 + m∠2 = 180°
40° + m∠2 = 180°
m∠2 = 140°
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The number of those who attended the picnic was 8.
Quadratic equations are the polynomial equations of degree 2 in one variable of type f(x) = = 0 where a, b, c, ∈ R and a ≠ 0.
Such questions are best examples of quadratic equations where the unknown is simply assumed to be a variable which when substituted according to the conditions yield a quadratic equation which can easily be solved.
Let x represent the whole population.
Total Spending = Rs. 96
Thus, each individual's contribution is equal to 96/x.
Four people did not show up causing
others to contribute Rs. 4 extra.
So the given condition can be written as
96/(x-4) – 96/x = 4
=>96x – 96(x-4) = 4x(x-4)
=> 96x -96x + 384 = 4x2 – 16x
=> 4x2 – 16x – 384 = 0
=> x2 – 4x – 96 = 0
=> (x – 12)(x + 8) = 0
=> x = 12 or x = -8 (neglect)
So x = 12
x-4 = 8 ( because four of them did not turn up)
∴ The number of those who attended the picnic was 8.
Learn more about quadratic equations here :
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