Answer:
35/30
Step-by-step explanation:
10q equals 7p because of the difference
We first need to factorize (if possible) the denominators:
we can see that
![p^2+7p+10=(p+2)(p+5)](https://tex.z-dn.net/?f=p%5E2%2B7p%2B10%3D%28p%2B2%29%28p%2B5%29)
as 2 and 5 are two numbers whose sum is 7 and product is 10.
Similarly, we can see that
![p^2+5p+6=(p+3)(p+2)](https://tex.z-dn.net/?f=p%5E2%2B5p%2B6%3D%28p%2B3%29%28p%2B2%29)
as 2 and 3 are two numbers whose sum is 5 and product is 6.
Thus, the expression is:
![\displaystyle{ \frac{p+3}{(p+2)(p+5)} + \frac{p+5}{(p+3)(p+2)}](https://tex.z-dn.net/?f=%5Cdisplaystyle%7B%20%20%5Cfrac%7Bp%2B3%7D%7B%28p%2B2%29%28p%2B5%29%7D%20%2B%20%5Cfrac%7Bp%2B5%7D%7B%28p%2B3%29%28p%2B2%29%7D%20)
.
Now to make the denominators equal, but to also keep them as small as possible, the common denominator must be (p+3)(p+2)(p+5).
Answer: (p+3)(p+2)(p+5).
The measurement of the second angle is 42°. All of the angles of a triangle add up to a total of 180°. If two angles add up to 138°. Then the last angle has to be 42° (180-138).