<span>it divides two sides of a triangle equally. The midpoint of a side divides the side into two equal segments.</span>
Answer:
Angle ABC is equal to 130.4°
Step-by-step explanation:
When an angle is bisected, it is divided into two equal parts, so if BD bisects ∠ABC, then the two angles that add up to it, ∠ABD and ∠DBC, must be equivalent.
We know that ∠ABD equals 65.2, so that must mean that ∠DBC also equals 65.2.
Here is our equation:
∠ABC=∠ABD+∠DBC
After substituting, we will get
∠ABC=65.2+65.2=130.4
130.4° is the measure of ∠ABC.
Due to the difference in the interest rate and the quarterly compounding, Joshua will have $212.24 more than Josiah.
Step-by-step explanation:
Giving the following information:
Joshua:
Initial investment (PV)= $750
Interest rate (i)= 0.0341/4= 0.008525
Number of periods (n)= 18*4= 72 quarters
Josiah:
Initial investment (PV)= $750
Interest rate (i)= 0.0285
Number of periods (n)= 18 years
To calculate the future value of each one, we need to use the following formula:
FV= PV*(1 + i)^n
Joshua:
FV= 750*(1.008525^72)
FV= $1,381.98
Josiah:
FV= 750*(1.0285^18)
FV= $1,169.74
Due to the difference in the interest rate and the quarterly compounding, Joshua will have $212.24 more than Josiah.
Answer:
y= -2/3x-2
Step-by-step explanation:
Since we have a point and a slope, we can use the point slope formula
m is the slope. In this case, m is -2/3
y1 is the y coordinate of the point. In this case, it is -2
x1 is the x coordinate. In this case it is 0.
We can substitute these values into the formula
y- -2= -2/3(x-0)
Distribute -2/3
y+2 = -2/3*x + -2/3*0
y+2= -2/3x+0
Subtract 2 from both sides. We want to get y by itself. This is because we want our line to be in y=mx+b form.
y+2-2= -2/3x+0-2
y= -2/3x -2
