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alisha [4.7K]
2 years ago
15

I need it within tomorrow please

Mathematics
1 answer:
Alenkinab [10]2 years ago
6 0

Any even number raised to any power will remain even. (e.g. 2² = 4, 2³ = 8, etc)

Any odd number raised to any power will remain odd. (e.g. 1² = 1³ = ... = 1, 3⁴ = 81, etc)

So (n+1)^{2^k}-n^{2^k} will always be even, since both

[even] - [odd] = [odd]

and

[odd] - [even] = [odd]

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In triangle MNP if the measure of angle R is five more than twice x, and the measure of angle S is one more than x, and the meas
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Answer:

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Step-by-step explanation:

Let's convert the given statements into algebraic expressions.

R is five more than twice x:

R = 2x + 5

S is one more than x:

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T is sixteen less than seven times x:

T = 7x - 16

Also, we know, the sum of 3 angles in a triangle is ALWAYS EQUAL to 180 degrees. Thus we can write:

R + S + T = 180

Substituting the expressions, we have:

2x + 5 + x + 1 + 7x - 16 = 180

Now we do algebra and simply solve for x. Shown below:

2x + 5 + x + 1 + 7x - 16 = 180\\10x-10=180\\10x=180+10\\10x=190\\x=\frac{190}{10}\\x=19

Hence, x = 19

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