The measure of an exterior angle of triangle is equal to the sum of measures of two interior angles of triangle that are not supplementary with this exterior angles.
In the case of this question this fact sounds as
m∠XBC = m∠BAC + m∠BCA (option 1).
Now if
- m∠XBC=(3p-6)°
- m∠BAC=(p+4)°
- m∠BCA=84°,
then
3p-6=p+4+84 (option 2),
3p-6=p+88 (option 3),
3p-p-6=p-p+88,
2p-6=88 (option 4),
2p-6+6=88+6,
2p=94 (option 5),
p=47.
Then m∠XBC=(3p-6)°=(3·47-6)°=135°.
Answer: m∠XBC=135°.
i'm sure it's 208 because i used the area formula
For the answer to the question above asking to <span>Find a rational number that is between 9.5 and 9.7. Explain why it is rational. </span>
I think the answer is 9.6, because it does not have a repeating or continuous decimal.
I hope my answer helped you.
For an instance, i stands for the money that you have, and b stands for the money that brother has.
An equation system based on the problem would be
i + b = 42 (equation 1)
i = 3b (equation 2)
Use substitution method to solve the problem
substitute 3b into i in the equation 1
i + b = 42
3b + b = 42
4b = 42
b = 42/4
b = 10.5
substitute the value of b into the equation 1
i = 3b
i = 3(10.5)
i = 31.5
You have $31.5 and your brother has $10.5