Answer:
Given: A triangle ABC and a line DE parallel to BC.
To prove: A line parallel to one side of a triangle divides the other two sides proportionally.
Proof: Consider ΔABC and DE be the line parallel to Bc, then from ΔABC and ΔADE, we have
∠A=∠A (Common)
∠ADE=∠ABC (Corresponding angles)
Thus, by AA similarity, ΔABC is similar to ΔADE, therefore
AB/AD= AC/AE
⇒AD+DB/AD = AE+EC/AE
⇒1+DB/AD = 1+ EC/AE
⇒DB/AD = EC/AE
Therefore, a line parallel to one side of a triangle divides the other two sides proportionally.
⇒Therefore Proved
Hope this helps!!!
Answer:
Darnell can read 1,715 words in 7 minutes
Step by step Explanation:
1. I need to find out how many words he reads in 1 minute. Divide 735 by 3, my answer is 245
245
______
3)735
6 bring down the 3 to make 13
-_____
1 3
12 bring down the 5 to make 15
-______
1 5
15
___________
0
2. multiply 735 by 2 cause he reads 735 words in 3 minutes and we are tryna find out how many words he reads in 7 minutes. 3×2=6, so 735+735 (735×2) equals 1470
3. Add 245, for that extra minute that we missed. my answer is 1,715 words in 7 minutes
3x² - 7x - 8 = 0
We're asked about square roots so we won't try to factor; we'll go right for the quadratic formula,
x = ( 7 ± √(7² - 4(3)(-8)) )/(2(3)) = (7 ± √(49+96))/6 = 7/6 ± √145/6
145 = 5×29, so no square factors. The positive difference is
d = (7/6 + √145/6) - (7/6 - √145/6) = 2√145/6 = √145/3
so m=145, n=3 for a sum of
Answer: 148
$34.60 rounds to $35
$24.99 rounds to $25
$527.85 rounds to $528
Now add the rounded numbers together:
$35
$25
$528
————-
$588.00 (estimated monthly expenses)
Answer:
Independent
dependent
Step-by-step explanation:
The scenario illustrates that the weight for people who exercises regularly tends is normal or below normal. It means that the weight of a person depends on how much a person exercises i.e. if person exercises more the weight is reduced and if not then weight will be gained. Thus, exercise is the independent variable while weight is dependent variable.
