Answer:
m < 5=27°
Step-by-step explanation:
we know that
When a transversal passes through two lines, the angles that are formed on opposite sides of the transversal and inside the two lines are alternate interior angles.
In this problem
The transversal is the diagonal BD
The two lines are AB and CD
m < 5 and m < 2 are alternate interior angles
we have that
The two lines are parallel
AB || CD
therefore
m < 5= m < 2
we have that
m < 2=27°
so
m < 5=27°
Can you elaborate? because i don’t understand what topic
8. $700 at 8% for 6 years.
it could mean
1. compound interest
2. simple interest.
1. Compound Interest
that means that each year it gives you 8% on that whatever new thing so
8 %= 0.08
Each year, it is multiplied by 1.08 since you add the original (1) to the 8% 0.08
so 6 years means
700 times 1.08^6=700 times 1.08 times 1.08 times 1.08 times 1.08 times 1.08 times
1.08 = 1110.81
2. Simple Interest
So just 8% of that 700 is added on
find 8% of 700
8% of 700+0.08 times 700=0.56
6 years = 0.56 times 6 =3.36
add 3.36 + 700= 703.36
Answers are
if compound interest = $1110.81
If Simple interest = 703.36
I hope this helped
~Renee \(^_^)/
X = first child
x +2 = 2nd child
x+ 4 = 3rd child
It doesn't matter if the ages are odd or even - there is two years between each child in age.
The sum would be
x + x + 2 + x + 4 or 3x + 6.
Lets try it with a sample age. Let's say the youngest is 5 middle is 7 and oldest is 9
The sum of their ages is 21 (5 + 7 + 9)
Using our answer of 3x + 6 where x is the age of the youngest child, we get
3(5) +6 which is also 21.
This could also be solved by having x represent the middle age child
x-2 is the youngest (2 years less than the middle)
x = the middle
x+2 is the oldest (2 years older than the middle)
The sum of these would be x-2 + x + x +2 or simply 3x (the 2's cancel out)
Since the middle child is 7 3x would mean 3 (7)=21
You could also set this up using x for the oldest child
x= oldest
x-2= middle
x-4= youngest (The sum of this is 3x - 6)
3 (9) -6 is also 21.
<u>1 3/10 Because 4/5+2/10= 1 plus 6/20 [3/10] is 1 3/10</u>