we know that
area larger triangle (DEF)=[scale factor]²*area smaller triangle (ABC)
solve for scale factor
scale factor=√[area larger triangle/area smaller triangle]
scale factor=√[144/100]------> scale factor=1.2
therefore
measure EF=scale factor *measure BC
solve for measure BC
measure BC=measure EF/scale factor-------> 15/1.2------> 12.5 cm
the answer is
measure BC is 12.5 cm
Answer:
Hope this helps..
Step-by-step explanation:
So when you need to divide one complex number by another, you multiply the numerator and denominator of the problem by the conjugate of the denominator. This step creates a real number in the denominator of the answer, which allows you to write the answer in the standard form of a complex number.
It would be y+3. This is written as an algebraic expression.
Answer:
3%
Step-by-step explanation:
I = Prt
I = 1020
P = 8500
t = 4
1020 = (8500)(4)r
1020 = 34000r
r = 0.03
Answer:
27 13/60
Step-by-step explanation:
What you have tried to do is not an impossible way to do it. What you could do is set your fractions and whole numbers like this.
( 7 + 1/10) * (3 + 5/6) I don't know if you know what FOIL is, but that is the way to proceed.
- First: (meaning the first in each factor ). 3 * 7 = 21
- Outside: (meaning the two terms near outside the brackets) 7 * 5/6 = 5 5/6
- Inside: The two terms closest to the * sign 1 / 10 *3 = 3/10
- Last: The two end terms (1/10 * 5/6 = 5/60 5/60
Now you can add. 21 + 5 is the whole number amount = 26
Add the fractions
- 5/6 + 3/10 + 5/60 The lowest common multiple is 60
- 50/60 + 18/60 +5/60 = 73 / 60 = 1 and 13/60
Add that to 26 and you get 27 13/60