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kipiarov [429]
2 years ago
8

How do I get the answer to this step by step?

Mathematics
1 answer:
AURORKA [14]2 years ago
5 0

Answer:

Step-by-step explanation:

The exterior angle is 151 degrees. The theorem states that the sum of its 2 remote interior angles, 5x+3 and 9x-20, will add up to this exterior angle. Therefore,

5x+3+9x-20 = 151 and

14x - 17 = 151 and

14x = 151 + 17

14x = 168 so

x = 12

If you want to find out the measure of each of these angles, just plug in 12 for x and do the math:

5(12) + 3 = 63 and

9(12) - 20 = 88 and

88 + 63 = 151 as it should.

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Which expression is equivalent to (25x-4)^16? a.(5x-2)^8 b.(25x-4)^8 c.(5x-2)^4 d.(25x-4)^4
topjm [15]

Answer: 23692929

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Mohamed and Li Jing were asked to find an explicit formula for the sequence -5, -25, -125, -625,....
Nuetrik [128]

Answer:

Li Jing's formula i.e.  \boxed{g_n=-5\cdot \:5^{n-1}}  is right.

Step-by-step explanation:

Considering the sequence

-5,\:-25,\:-125,\:-625,...

A geometric sequence has a constant ratio r and is defined by

g_n=g_0\cdot r^{n-1}

\mathrm{Compute\:the\:ratios\:of\:all\:the\:adjacent\:terms}:\quad \:r=\frac{g_{n+1}}{g_n}

\frac{-25}{-5}=5,\:\quad \frac{-125}{-25}=5,\:\quad \frac{-625}{-125}=5

\mathrm{The\:ratio\:of\:all\:the\:adjacent\:terms\:is\:the\:same\:and\:equal\:to}

r=5

So, the sequence is geometric.

as

\mathrm{The\:first\:element\:of\:the\:sequence\:is}

g_1=-5

r=5

so

g_n=g_1\cdot r^{n-1}

\mathrm{Therefore,\:the\:}n\mathrm{th\:term\:is\:computed\:by}\:

g_n=-5\cdot \:5^{n-1}

Therefore, Li Jing's formula i.e.  \boxed{g_n=-5\cdot \:5^{n-1}}  is right.

8 0
3 years ago
Two urns contain white balls and yellow balls. The first urn contains 3 white balls and 6 yellow balls and the second urn contai
yuradex [85]
We have 3 white balls in the first urn out of 9. That means we have a 1 in 3 chance at picking the white ball in the first urn.

Now, we have a 3 in 11 chance at picking the white ball in the second urn.

Since, we want them simultaneously, we need to multiply them.

1/3 × 3/11 = 1/11 chance
5 0
3 years ago
Fareed wants to add 1/4 +5/8 Add the fractions by using the giant one to create a common denominator
saul85 [17]

Hi!

This question is about math.

\frac{1}{4}+\frac{5}{8}

<u><em>Least Common Factor 4 or 8: 8</em></u>

<u><em>Factors of 4 : 1, 2, 4 (prime factorization) (2*2)</em></u>

<u><em>Factors of 8: 1, 2, 4, 8 (prime factorization) (2*2*2)</em></u>

<u><em>Least Common Factor of a,b is the smallest positive number that divisible by both a and b.</em></u>

<em>Multiply each factor the greatest number of times it occurs in either 4 or 8.</em>

<em>Then multiply by the numbers.</em>

2*2*2

=8

<em>Multiply each numerator by the same amount needed to multiply its corresponding denominator to turn it into the Least Common Factor of 8.</em>

<em>For 1/4 multiply the denominator and numerator by the 2.</em>

\frac{1}{4}=\frac{1*2}{4*2}=\frac{2}{8}

\frac{2}{8}+\frac{5}{8}

<em>Since the denominator are equal, combine the fractions.</em>

\frac{2+5}{8}

<em>Add the numbers 2+5=7</em>

=\frac{7}{8}

Hope this helps! Thank you for posting your question at here on Brainly. Have a great day.

-Charlie

6 0
3 years ago
The length of a rectangle solid is 3.0 m the width is 0.6 meter, and the height is 0.4 meter. Find, to the nearest tenth, the nu
Ad libitum [116K]

Answer:

0.72\,\,m^3

Step-by-step explanation:

Given:

Length of a rectangle solid = 3 m

Width of a rectangle solid = 0.6 m

Height of a rectangle solid = 0.4 m

To find: Volume of the solid

Solution:

Volume of the solid = length × breadth × height

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So, the number of cubic meters in the volume of the solid is 0.72\,\,m^3

3 0
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