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
Answer:
68 1/3, 111 2/3
Step-by-step explanation:
The sum of two supplementary angles is 180°, so ...
(x +10) +(2x -5) = 180
3x +5 = 180 . . . . . collect terms
x +5/3 = 60 . . . . . divide by 3
x = 58 1/3 . . . . . . . subtract 5/3
The first angle is ...
x +10 = 58 1/3 +10 = 68 1/3
The second angle is ...
2x -5 = 2(58 1/3) -5 = 116 2/3 -5 = 111 2/3
The angles measure 68 1/3 and 111 2/3.
<u>Answer:</u>
The correct answer option is D. (x - 7) + 2.
<u>Step-by-step explanation:</u>
We are to determine whether which of the given options best describe the English expression:
<em>'two more than the quantity of a number minus seven'</em>
We can break this expression into smaller chunks to make it easier to translate.
1. two more than ---> +2
2. the quantity of a number ---> suppose the number to be 'x'
3. number minus 7 ---> (x - 7)
Combining these, we get (x - 7) + 2 so the correct answer option is D.
Hey,
The lower quartile is the median of the lower half of the data set.
The median is the middle most number or the average of the two middle most numbers depending on how many values there are.
Cheers,
Izzy