Answer:
Step-by-step explanation:
<u>We have similar triangles here.</u>
- BC║DE, AB║AD and AC║AE ⇒ ΔADE ~ ΔABC
<u>The ratio of corresponding sides of similar triangles is same:</u>
- BC/DE = AC/AE
- BC / 2 = 30/3
- BC / 2 = 10
- BC = 2*10
- BC = 20 m
The different ratios are 2 : 7, 2 : 9 and 7 : 9
<h3>How to determine the ratio?</h3>
The statement is given as:
8 out of 36 squares unfilled
This means that:
- There are 36 squares
- 8 are unfilled
- 28 are filled
The part-to-part ratio is represented as:
Ratio = Unfilled : Filled
This gives
Unfilled : Filled = 8 : 28
Simplify
Unfilled : Filled = 2 : 7
The part-to-whole ratios are represented as:
Ratio = Unfilled : Total
Ratio = Filled : Total
So, we have:
Unfilled : Total = 8 : 36
Filled : Total = 28 : 36
Simplify
Unfilled : Total = 2 : 9
Filled : Total = 7 : 9
Hence, the different ratios are 2 : 7, 2 : 9 and 7 : 9
Read more about ratio at:
brainly.com/question/2328454
#SPJ1
Answer:
1/32
Step-by-step explanation:
Since we want to find the probability that all five coins land on heads, we must first find the total number of possibilities. Since there are 2 choices for each coin to land on, heads or tails, the total number of possibilities is 2^5 = 32.
Since there is only one way to to land on all heads, the probability is 1/32.
Answer:
x = 2
Step-by-step explanation:
5x - 6 = 4
add 6 to each side
5x = 10
divide each side by 5
x = 2
Answer:
answer would be the first choice.
Step-by-step explanation:
you would need to factor out x from the expression, then factor out -3 from the expression, factor the expression using a^2-B^2=(a-b)(a+b), afterwards you factor out the 4 from the expression, and then the 3x. Next you would factor out 2x+1, reduce the expression with x-5, reduce the numbers with the greatest common divisor 2, you then reduce the expression with x-3, multiply the fractions, distribute 2 through the parenthesis, distribute the 3x through the parenthesis, and that should be all.
