A TRIANGLE HAS SIDE LENGTH 3, 8 AND 9. FIND THE ANGLE MEASUREMENTFOR THE ANGLE CROSS FROM THE SIDE WITH LENGTH OF 8.
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BD bisects <ABC.
m <ABD= 2.5x + 8.6
m<CBD = 3.5x - 3.4
Find m<ABC
Answer:
Step-by-step explanation:
We have an angle ABC and a line BD bisecting it.
If an angle is bisected, then the two formed angles are congruent, that is
Substituting the algebraic expressions for both angles:
Subtracting 8.6 and 3.5x:
Operating:
The two angles are:
As expected, both angles have the same measure.
The measure of the total angle ABC is twice any of those:
Given the two options above, in order to come up with the best plan we have to calculate the future value of money in each plan.
compound interest is given by:
Option 1
p=$500
r=2%=0.02
t=1 year
Option 2
p=$500
r=2/12=1/6
n=1*12=12
hence:
=$509.09
Comparing the two plans above, option 1 is the best.
b] Option 1 is the best because she will secure $510 as compared to option 2 which has interest rate that reduces her amount by $1 after one year due to annual charges. The total amount of money she will have at the end of the plan is $510.
compound interest is given by:
Option 1
p=$500
r=2%=0.02
t=1 year
Option 2
p=$500
r=2/12=1/6
n=1*12=12
hence:
=$509.09
Comparing the two plans above, option 1 is the best.
b] Option 1 is the best because she will secure $510 as compared to option 2 which has interest rate that reduces her amount by $1 after one year due to annual charges. The total amount of money she will have at the end of the plan is $510.