Answer:
True
Step-by-step explanation:
Answer:
-9＞x
Step-by-step explanation:
5(x+4)＞2x-7
5x+20＞2x-7
5x+20＞2x-7
<u> +7 +7</u>
5x+27＞2x
↓
5x+27＞2x
<u>-5x -5x</u>
27＞-3x
↓
<u>27＞-3x </u>
-3 -3
= -9＞x
m5=75 degrees
m11=75 degrees
m16=65 degrees
To find 5, realize angles 5 and 8 equal 180, because they make up a straight line, line d.
180-105=75
To find 11, it is the same as finding 7. Just look at the similar sizes. Angle 7 is the same at angle 5, just turned around. There’s a term for this pair angles that I don’t remember now but it exists. Now, lines a and b are parallel, so their angles between lines that intersect both are the same too. This means, as angle 5 equals angle 7, angle 7 equals angle 11.
To find 16, we use a combination of the methods used in finding the previous angles.
180-115=65 degrees is angle 4
Angle 4=Angle 16
Knowing the two angles given and that lines a and b are parallel, you could find the measurements of every angle in each intersection if you wanted to.
Answer:
The principal amount was $23,393.45
Step-by-step explanation:
The total amount paid on a 35 year loan was $98,000 at the rate of interest 4.1%
We will calculate Principal amount by this formula
Where A = amount (98,000)
P = Principal amount (P)
r = rate of interest 4.1% (0.041)
n = number of compounding interest monthly (12)
t = time (35 years)
98,000 = P(4.189386)
= 4.189386P = 98,000
P = 
P = 23,392.4494 ≈ $23,392.45
The principal amount was $23,393.45
