Before we begin, let's identify what kind of angles these are and are they related in any way?
These angles are both acute and they are both corresponding angles.
Corresponding angles are equal to each other, and we can use this fact to our advantage.
Since they are equal to each other, we can set the equations of 1 and 2 equal to each other. Like so,
1 = 2
83 - 2x = 92 - 3x
Now, we can solve for X by isolating it on one side.
83 - 2x = 92 - 3x
Add 3x to each side: (This basically moves the X on the right side to the left.)
83 - 2x + 3x = 92 - 3x + 3x
83 + x = 92
Subtract 83 on each side to isolate the X.
83 + x - 83 = 92 - 83
x = 92 - 83
x = 9
Therefore, X equals 9. To check our work, we can substitute X for 9.
83 - 2(9) = 92 - 3(9)
83 - 18 = 92 - 27
65 = 65 -
TRUE
So to conclude, Angle 1 is 65 degrees, Angle 2 is 65 degrees, and X equals 9.
Hope I could help you out!
If my answer is incorrect, or I provided an answer you were not looking for, please let me know. However, if my answer is explained well and correct, please consider marking my answer as Brainliest! :)
Have a good one.
God bless!
Hi!
We know that Mr. Abraham’s wife is 6 years younger than him, which is 36-6, which means his wife is 30 years old.
We also know that Mr A’s son is 24 years younger than his wife, which is 30-24, which is 6.
As of right now, we now know that:
Mr. A is 36
Mr. A’s wife is 30
Mr. A’s son is 6
It’s asking for the ratio of Him:Wife:Son, so 36:30:6.
BUT, it’s asking for simplest form, so divide each of those numbers by 6.
Your answer is: 6:5:1
Shape b has the shaded area closest to 63%
Answer:
Step-by-step explanation:
For this case we can use the formula for the future value with compound interest given by:
(1)
For this case since the interest is compounded quarterly we have 3 periods each year, since we have 3 quarters in a year.
r represent the rate =0.026
t = 6 represent the number of years
P = 3200 represent the amount invested at the begin
If we apply the formula (1) we got:
So then the balance after 6 years would be approximately 50995 with the conditions provided.
Answer:
The system of inequalities that represents this situation will be:
Step-by-step explanation:
- Let 'f' represent the first number
- Let 's' represent the second number.
Given that the sum of the two numbers is less than 10. As 'less than' can be represented by '<'.
- so the inequality would be: f + s < 10
Given that If we subtract the second number from the first, the difference is greater than 3. As 'greater than' can be represented by '>'.
- so the inequality would be: f-s > 3
Thus, the system of inequalities that represents this situation will be:
