The angles are B and C.
The three angles add up to 180º
A=80º
B
C
A+B+C=180º
80º+B+C=180º
B+C=180º-80º
B+C=100º (1)
The ratio between A and B is 7/13 ; therefore:
B/C=7/13 ⇒B=7C/13 (2)
With the equations (1) and (2), we make a system of equations:
B+C=100
B=7C/13
We can solve this system of equations by substitution method:
7C/13 + C=100
least common multiple=13
7C+13C=1300
20C=1300
C=1300/20
C=65
B=7C/13
B=7*65/13
B=455/13
B=35º
Answer: The measures of those two angles are 65º and 35º.
Answer:
You would have 4 red marbles and 8 blue marbles since you didn't return the ones you took out to the bag.
Step-by-step explanation:
6 - 2 = 4
The 8 would stay the same
There for you would have 4 red marbles and 8 blue marbles left in the bag. Totalled you have 12 marbles in the bag and 2 out of the bag. (8 + 4 = 12)
Including the marbles in and out of the bag you have 14 marbles. The 12 inside the bag + the 2 outside of the bag = 14 marbles totalled.
Given:
The rate of interest on three accounts are 7%, 8%, 9%.
She has twice as much money invested at 8% as she does in 7%.
She has three times as much at 9% as she has at 7%.
Total interest for the year is $150.
To find:
Amount invested on each rate.
Solution:
Let x be the amount invested at 7%. Then,
The amount invested at 8% = 2x
The amount invested at 9% = 3x
Total interest for the year is $150.
Multiply both sides by 100.
Divide both sides by 50.
The amount invested at 7% is 
.
The amount invested at 8% is
The amount invested at 9% is
Therefore, the stockbroker invested $300 at 7%, $600 at 8%, and $900 at 9%.
Do -4 times 3.2 and then do the same thing plzzz help me with a question now plzzz I all give you 100 points
