Answer:
The measure of angle s is 75 degrees
Step-by-step explanation:
7x+40+8x+25+5x+15=180
20x+80=180
20x=100
x=5
7*5+40=75
SohCahToa
Sin=oposite side/hyptoonuse
Cos=adjacent side/hypotonuse
Tan=oposite side/hypotonuse
oposite side is the side oposite the angle
adjacent side is the side touching the angle that isn't the hypotonuse
hypotonuse is longest side
1.
first solve for hypotonuse using a²+b²=c²
hypotonuse=13
sinA=12/13
cosA=5/13
tanA=12/5
sinB=5/13
cosB=12/13
toa=5/12
2. the missing side is 8
sinD=15/17
cosD=5/17
tanD=15/5=3
sinE=5/17
cosE=15/17
tanE=5/15=1/3
3. missing side is 25
you should be able to do this
sinG=7/25
do the rest
4.
missing side is 6
sinJ=6/10=3/5
do the rest
Here you go, i added a bit of explanation as to why i used the numbers to help you understand the method :)
Steps to solve:
(-5q^2 + 6q + 7) - (-q^2 + 4q)
~Distribute the left side
-5q^2 + 6q + 7 + q^2 - 4q
~Combine like terms
-4q^2 + 2q + 7
Best of Luck!