Answer:
49, 49 , 98
Step-by-step explanation:
AC = AB + BC = 2AB
- 3x - 31 = 2(x+6)
- 3x - 31 = 2x + 12
- 3x - 2x = 12 +31
- x = 43
AB= BC = x + 6 = 43 + 6 = 49
AC = 2AB = 2* 49 = 98
Answer:
Do it by yourself!!
Step-by-step explanation:
This is not homework it is your test so you should do it by yourself!!
Angle ADC and EDG are congruent(vertical angles)
Same side interior angles are =180
2x+4x-30=180
6x-30=180
6x=210
x=35
CDG is congruent to DGH(alternate interior)
4x-30
4(35)-30
140-30
=110
32 grams = water mass + sugar mass . 100% syrup=75% water+ 25%sugar
original water content= 32*75/100=24 grams
original sugar content= 32*25/100= 8grams
total mass at 10% syrup:
8grams/total mass=10%=0.1
total mass=8/0.1=80grams
total mass of water=80grams- 8grams of sugar content= 72 grams
total mass of water added=72grams- 24grams original water content= 48grams.
answer: 48grams
Answer:
Each peice is 1 1/3 (4/3) long.
Step by step explanation:
10 2/3 divided by 8
10 2/3 = 32/3
32/3 divided by 8 = 32/3 x 1/8
32 times 1 = 32, 3 times 8 = 24 =32/24
32/24 in simplest form is 4/3 (aka 1 1/3)
Hope this helped! :)