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3 years ago

What is the value of x in the figure?

Mathematics

2 answers:

Margaret [11]3 years ago

6 0

Answer: x = 29

Step-by-step explanation:

We can see that x = 29 because that angle is a right angle. They ahve iven us 61 degrees out of the full 90 degrees for the right angle.

Then we can just subtract 61 from 90 which is 29.

X=29

finlep [7]3 years ago

3 0

<h3>Answer: x = 29</h3>

======================================================

Work Shown:

x+61 = 90

x+61-61 = 90-61

x = 29

------------

Explanation:

The first step is valid because the two angles x and 61 are complementary angles. They form a right angle or 90 degree angle.
In the second step, I subtracted 61 from both sides to undo the "+61".

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Answer:

(0.755, 0.845)

Step-by-step explanation:

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2 years ago

- (x + 2)2 + (y - 9)2 = 1

telo118 [61]

Answer:

x+y=-5.75

Step-by-step explanation:

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Well, you would simply need to use the distributive property!

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8 0

3 years ago

Write out the first few terms of the series Summation from n equals 0 to infinity (StartFraction 2 Over 3 Superscript n EndFract

anyanavicka [17]

Answer:

$\sum\limits_{n=0}^{\infty} \frac{2}{3^n}\frac{(-1)^n}{5^n} = 15/8$

Step-by-step explanation:

The sum you are trying to understand is this.

$\sum\limits_{n=0}^{\infty} \frac{2}{3^n}\frac{(-1)^n}{5^n}$

Remember that in general when you have a geometric series

$\sum\limits_{n = 0}^{\infty} a*r^n$ you have that

$\sum\limits_{n = 0}^{\infty} a*r^n = \frac{a}{1-r}$ and that equality is true as long as $|r| < 1$ .

Therefore here we have

$\sum\limits_{n=0}^{\infty} \frac{2}{3^n}\frac{(-1)^n}{5^n} = \sum\limits_{n=0}^{\infty} 2* \big(\frac{-1}{3*5} \big)^n = \sum\limits_{n=0}^{\infty} 2* \big(\frac{-1}{15} \big)^n$ and $\big|\frac{-1}{15} \big| = \frac{1}{15} < 1$

Therefore we can use the formula and

$\sum\limits_{n=0}^{\infty} 2* \big(\frac{-1}{15} \big)^n = \frac{2}{1-(-1/15)} = \frac{2}{1+1/15} = 30/16 = 15/8$

5 0

3 years ago

Anna11 [10]

Answer:

y/x

Step-by-step explanation:

If x is proportional to y, then:

y = kx, where k is a constant

This can be rearranged to give:

k = y/x

As mentioned, k is a constant, therefore, the answer is y/x

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