Answer:
3/2
Step-by-step explanation:
The multiplicative inverse also known as reciprocal implies it is something that is the opposite.
The given value is 2/3, so the opposite would just mean you flip the numerator and denominator. Thus, the reciprocal of 2/3 is 3/2.
The equation should be
j = 30 + 3a
j + a = 210
Solving the equation
j + a = 210
(30 + 3a) + a = 210
30 + 4a = 210
4a = 180
a = 45
j = 30 + 3a
j = 30 + 3 × 45
j = 30 + 135
j = 165
Aiden's weight is 45 pounds, Jonathan's weight is 165 pounds
Answer:
The minor arc PR is 42 degrees
Step-by-step explanation:
The picture of the question in the attached figure
we know that
The inscribed angle is half that of the arc comprising
so
![m\angle PSR=\frac{1}{2}(arc\ PR)](https://tex.z-dn.net/?f=m%5Cangle%20PSR%3D%5Cfrac%7B1%7D%7B2%7D%28arc%5C%20PR%29)
we have
![m\angle PSR=21^o](https://tex.z-dn.net/?f=m%5Cangle%20PSR%3D21%5Eo)
substitute
![21^o=\frac{1}{2}(arc\ PR)](https://tex.z-dn.net/?f=21%5Eo%3D%5Cfrac%7B1%7D%7B2%7D%28arc%5C%20PR%29)
![arc\ PR=21(2)=42^o](https://tex.z-dn.net/?f=arc%5C%20PR%3D21%282%29%3D42%5Eo)
Remember that the minor arc in a circle is less than 180 degrees
therefore
The minor arc PR is 42 degrees