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3 years ago

Given m||n, find the value of x.

Mathematics

2 answers:

andriy [413]3 years ago

7 0

Answer:

124 degrees

Step-by-step explanation:

180 degrees is a straight line

the given angle is 56 degrees

so, all you do is subtract

180 - 56 = 124

to double check,

56 + 124 = 180

77julia77 [94]3 years ago

5 0

Answer:

X= 124

Step-by-step explanation:

Because these angles are alternate interior angles we know that X+56 will equal 180, so to solve:

180 - 56= 124

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Step-by-step explanation:

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Read 2 more answers

What is a formula for the nth term of the given sequence? 48, 72, 108

WITCHER [35]

Answer:

$a_n=48*1.5^{n-1}$

Step-by-step explanation:

<u>Geometric Sequence</u>

In geometric sequences, each term is found by multiplying (or dividing) the previous term by a fixed number, called the common ratio.

We are given the sequence:

48, 72, 108, ...

The common ratio is found by dividing the second term by the first term:

$r=\frac{72}{48}=1.5$

To ensure this is a geometric sequence, we use the ratio just calculated to find the third term a3=72*1.5=108.

Now we are sure this is a geometric sequence, we use the general term formula:

$a_n=a_1*r^{n-1}$

Where a1=48 and r=1.5

$\boxed{a_n=48*1.5^{n-1}}$

For example, to find the 5th term:

$a_5=48*1.5^{5-1}=48*1.5^{4}=243$

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3 years ago