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3 years ago

Find the value of x (no labels)

Mathematics

2 answers:

mariarad [96]3 years ago

7 0

Answer:

35 degrees

Step-by-step explanation:

dusya [7]3 years ago

6 0

Answer:

x = 35

Step-by-step explanation:

In the given figure, sides opposite to x° and 35° are congruent.

$\therefore \: x \degree = 35 \degree \\ \huge \red{ \boxed{\therefore \: x = 35}}$

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When dividing 592 by 9.25, how many zeros will be placed in the dividend?

Oksanka [162]

Answer: two

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7 0

3 years ago

What number is b?<br> b +4= 10

sertanlavr [38]

Answer:

Step-by-step explanation:

b+4=10

-4 .-4

b=6

7 0

3 years ago

Read 2 more answers

Find the SUm of the infinite series.

givi [52]

I'll do problem 13 to get you started.

The expression $4\left(\frac{2^n}{7^n}\right)$ is the same as $4\left(\frac{2}{7}\right)^n$

Then we can do a bit of algebra like so to change that n into n-1

$4\left(\frac{2}{7}\right)^n\\\\4\left(\frac{2}{7}\right)^n*1\\\\4\left(\frac{2}{7}\right)^n*\left(\frac{2}{7}\right)^{0}\\\\4\left(\frac{2}{7}\right)^n*\left(\frac{2}{7}\right)^{1-1}\\\\4\left(\frac{2}{7}\right)^n*\left(\frac{2}{7}\right)^{1}*\left(\frac{2}{7}\right)^{-1}\\\\4*\left(\frac{2}{7}\right)^{1}\left(\frac{2}{7}\right)^n*\left(\frac{2}{7}\right)^{-1}\\\\\frac{8}{7}\left(\frac{2}{7}\right)^{n-1}\\\\$

This is so we can get the expression in a(r)^(n-1) form

a = 8/7 is the first term of the geometric sequence
r = 2/7 is the common ratio

Note that -1 < 2/7 < 1, which satisfies the condition that -1 < r < 1. This means the infinite sum converges to some single finite value (rather than diverge to positive or negative infinity).

We'll plug those a and r values into the infinite geometric sum formula below

S = a/(1-r)

S = (8/7)/(1 - 2/7)

S = (8/7)/(5/7)

S = (8/7)*(7/5)

S = 8/5

S = 1.6

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

Answer in fraction form = 8/5

Answer in decimal form = 1.6

7 0

3 years ago