Answer: Simplifying ratios is just like simplifying fractions. Think of ratios as fractions. You divide a number that both numerator and denominator can be divided by.
<u>Example</u>
5/10 = 1/2
How did we get 1/2? Simple! You divide the numerator and denominator by 5.
5/10÷5/5=1/2
You do the same for ratios but the only difference is instead of putting a fraction bar (/) you put a colon (:)
Let's try another example but with a ratio!
<u>Example</u>
5:10 = 1:2
How did we get 1:2? Simple! Again we divided by 5 just like we did with the fraction example! So really ratios are just like fractions!
5:10÷5:5=1:2
<u>Remember</u>
The fraction bar is /
The ratio bar is :
Ratios are just like fractions but the symbol can sometimes trick people.
Answer:
7 Miles is the answer.
Step-by-step explanation:
10*7=70.
For a geometric sequence
<em>a</em>, <em>ar</em>, <em>ar</em> ², <em>ar</em> ³, …
the <em>n</em>-th term in the sequence is <em>ar</em> <em>ⁿ</em> ⁻ ¹.
The first sequence is
1, 3, 9, 27, …
so it's clear that <em>a</em> = 1 and <em>r</em> = 3, and so the <em>n</em>-th term is 3<em>ⁿ</em> ⁻ ¹.
The second sequence is
400, 200, 100, 50, …
so of course <em>a</em> = 400, and you can easily solve for <em>r</em> :
200 = 400<em>r</em> ==> <em>r</em> = 200/400 = 1/2
Then the <em>n</em>-th term is 400 (1/2)<em>ⁿ</em> ⁻ ¹.
Similarly, the other sequences are given by
3rd: … 4 × 2<em>ⁿ</em> ⁻ ¹
4th: … 400 (1/4)<em>ⁿ</em> ⁻ ¹
5th: … 5<em>ⁿ</em> ⁻ ¹
6th: … 1000 (1/2)<em>ⁿ</em> ⁻ ¹
7th: … 2 × 5<em>ⁿ</em> ⁻ ¹
Answer:
For lines A and B to be parallel, the Same Side Interior angles must be supplementary which means:
2x + 10 + 4x + 80 = 180
6x + 90 = 180
6x = 90
x = 15°
