You walked 5/6 mile
1/3(x2)=2/6
1/2(x3)=3/6
5/6 mile
Answer:
3. DF = 15
4. (x +y +2)(x +y +3)
5. Tuesday
Step-by-step explanation:
3. The angle congruence tells you the triangles are similar. Corresponding sides have a ratio of 5/4:
DE/AB = 10/8 = 5/4
EF/BC = 12.5/10 = 5/4
DF/AC = ?/12 = 5/4
Multiplying by 12, we find ...
DF = 12(5/4) = 15
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4. The first three terms look like (x+y)². The next two look like 5(x+y). So we can group terms to make the expression look like ...
(x+y)² + 5(x+y) +6
We recognize factors of 6 that sum to give 5 as being 2 and 3, so we can factor this as ...
(x+y +2)(x+y +3)
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5. Jan 1 falls on a day of the week that is the first of 3 days of which there are 5 in the month.
There are 3 days between Monday and Friday, but only 2 days between Friday and Monday. Hence the 1st of January must fall on Tuesday that year.
There will be 4 of Fri, Sat, Sun, Mon, and 5 of Tue, Wed, Thu in the month.
Answer:
o I = 4 cm, w = 9 cm, h = 3 cm
Step-by-step explanation:
The volume is given by V = l*w*h
w = 6 cm, I = 4,cm, h = 4 cm V= 6*4*4 = 96
o w = 7 cm, h = 3 cm, I = 5 cm V = 7*3*5 =105
o I = 4 cm, w = 9 cm, h = 3 cm V = 4*9*3 =108
o h = 5 cm, w = 6 cm, I = 3 cm V = 5*6*3 =90
The largest volume is
o I = 4 cm, w = 9 cm, h = 3 cm V = 4*9*3 =108
Answer:
1: 18
2: P
Step-by-step explanation:
1: each number in the second row is the square of the number in the first row but it's kinda backwards! for example 4×4=16 writing it backwards would be 61.
now: 9×9=81 and the backwards would be 18
2:the code for each letter is the number of its ends! like: A has 2 ends. S has 2 Ends. O doesn't have any ends.
now: the only letter left with 1 end is P