Answer:
D. If two triangles are similar, then there exists a constant k greater than or equals 1 which is equal to the ratio of the lengths of corresponding sides.
Step-by-step explanation:
Two triangles are similar if their corresponding angles are the same size. They need not be of the same length but the corresponding sides should be of the same proportion. One may be bigger that the other but the ratio of the lengths of corresponding sides will be equal. They may also be mirror images of one another so they will essentially have the same shape.
Answer:
x=26°
Step-by-step explanation:
6x+(x-2)=180 (because together they form a straight angle which is 180°)
solve:
6x+x-2=180
7x-2=180
7x=182
x=26
If these are terms of a geometric sequence, they have a common ratio. That is, ...
... (k -1)/(2(1 -k)) = (k +8)/(k -1)
... (k -1)² = 2(1 -k)(k +8) . . . . . multiply by the product of the denominators.
... k² -2k +1 = -2k² -14k +16 . . . eliminate parentheses
... 3k² +12k -15 = 0 . . . . . . . . put in standard form (subtract the right side)
... 3(k +5)(k -1) = 0 . . . . . . . . . factor
Possible values of k are ... -5, +1. The solution k=1 is extraneous, as it makes the first two terms 0 and the third term 8. (It doesn't work.)
The value of k is -5.
_____
The three terms are 12, -6, 3. The common ratio is -1/2.
We are given the electricity cost as 5 cents per
kilowatt-hour. We should notice that the cost is actually in the form of:
electrical cost = cost / (power * time)
Therefore to get a number which is in terms of cents
alone (cost alone), therefore we should multiply the given electrical cost
value with the power and time.
Power = 80 watt = 0.08 kilowatt
Time = 24 hours
Therefore the cost is calculated as:
cost = electrical cost * power * time
cost = [5 cents / (kilowatt hour)] (0.08 kilowatt) (24
hour)
cost = 9.6 cents
Answer:
<span>9.6 cents</span>
Answer:
The answer is "3.3".
Step-by-step explanation:
Given value:
find:
nearest tenth place value =?
please find the attachment of number line diagram.
