If B is the midpoint of AC, that means that the distances from A to B and B to C are the same. The distance from A to B is 8x + 4, and the distance from B to C is 10x - 6, so we can set these two equivalent:
8x + 4 = 10x - 6
Solving for x:
4 = 2x - 6 (subtract 8x from both sides)
10 = 2x (add 6 to both sides)
5 = x (divide both sides by 2)
So, x = 5, which is the second option given.
86.436 divided by 12 equals 7.203. 34.86 divided by 4 equals 8.715. 5.87 divided by 15 equals 0.38.
Answer:
C
Step-by-step explanation:
the side with 12 and on the smaller triangle and the side with 16 on the larger triangle are corresponding.
Answer:
Jeff went over by 53.33 grams or 
grams.
Step-by-step explanation:
Jeff is baking a cake. The recipe says that he has to mix 32 grams of vanilla powder to the flour.
Jeff knows that 1 cup of that particular vanilla powder has a mass of 128 grams.
He added 
of a cup of vanilla powder to the flour.
So, he added a mass of 
grams of vanilla.
As the recipe says, it needs 32 grams of vanilla so Jeff went over by 
grams.
Jeff went over by 53.33 grams or grams.
Answer: the account earns interest of $40.16
Step-by-step explanation:
We would apply the formula for determining compound interest which is expressed as
A = P(1+r/n)^nt
Where
A = total amount in the account at the end of t years
r represents the interest rate.
n represents the periodic interval at which it was compounded.
P represents the principal or initial amount deposited
From the information given,
P = 875.83
r = 9% = 9/100 = 0.09
n = 12 because it was compounded 12 times in a year.
t = 6 months = 6/12 = 0.5 year
Therefore,.
A = 875.83(1+0.09/12)^0.5 × 12
A = 875.83(1+0.0075)^6
A = 875.83(1.0075)^6
A = 915.99
The interest that she earns is
915.99 - 875.83 = $40.16
