The measure of EC is 1 ft.
Solution:
Given data:
AD = 8 ft, DB = 2 ft, AE = 4 ft
To find the measure of EC:
Using triangle proportionality theorem,
<em>If a line is parallel to one side of a triangle intersects the other two sides, then it divides the two side proportionally.</em>
Do cross multiplication.
8 EC = 8
Divide by 8 on both side of the equation, we get
EC = 1
EC = 1 ft
Hence the measure of EC is 1 ft.
Answer:
See below.
Step-by-step explanation:
It can really help to think when you see |expression| that it means the distance from expression to zero.
(a) |x| < 7 means the distance from x to 0 is less than 7. That puts x between -7 and 7. The solution set is -7 < x < 7.
(b) |x + 3| < 9 means that the distance from x + 3 to 0 is less than 9. That puts x + 3 between -9 and 9:
-9 < x + 3 < 9 Now subtract 3 from all three parts.
-12 < x < 6
(c) |y - 8| > 11 means that the distance from y - 8 to 0 is more than 11 units. That puts y - 8 in one of two places: left of -11 or right of 11.
(g) means that the distance from 3x - 1 to 0 is more than (or equal to) 18. Another way to say it is, 3x - 1 is farther from 0 than 18 units. That puts 3x - 1 in one of two places: to the left of -18 or to the right of 18.
means that 4y + 3 is closer to 0 than 13; it is between -13 and 13.
(That last fraction is 10/4 simplified.)
Fabric needs to make a dress = 3 1/4
fabric needs to make jacket= 3 1/4 - 5/6
= 29/12 or 2 5/12
Hence total fabric needed for both pieces is
= 3 1/4 + 2 5/12
= 68/12 or 5 8/12 or 5 2/3 yards
Answer: 27a^3
It is 27a^3 because if you do 3×3=9 then 9×3= 27
Answer:
Step-by-step explanation:
Given that sale of grills increase 6% per year
CUrrent sale of grills this year = 3300
So in the first year sales would increase by 3300(6%)
Total sales in the I year =3300+3300(6%)
This will be again increasing by 6% in II year and so on.
Hence we have
every year 3300 increases by 6% compoundly
So
No of sales in t year
=
In 6th year sale
s(6) =