Answer:
(3/2, -1/2)
Step-by-step explanation:
add the 2 inequalities together.
you get 2X<3 so x<3/2. plug X back in and solve for y and you get y= -1/2
Answer:
x = 3 y = 5
Step-by-step explanation:
y=x+2
+ y=-x +8
2y = 10
y = 5
y = -x + 8
5 = -x + 8
x = 3
12 for $25 is $2.08 per each. 24 for $46 is $1.90 per each. 50 for $94 is $1.90 per each.
answer:
y = 114° and x = 120°
step-by-step explanation:
part A:
- second inner angle: (180°-87°) = 93°
- third inner angle: (180°-30°) = 150°
- fourth, beside y angle: 360° - 150° - 93° - 51° = 66°
- then y = 180° - 66° = 114°
part B:
- there are 6 sides, so inner angle: (6-2)*180 = 720°
- 160° + 123° + 107° + 90° + x + x = 720°
Ok, so you already know that mQBO = 3x-15°
You just need to find x.
You use mSAO and mQAO to solve for x. You can also see that triangle AOS and triangle AQO are similar. Solve these two equations for x and mAOQ:
90+(2x+6)+mAOQ = 180
90+(4x-12)+mAOS = 180
x=9 and mAOQ=mAOS=66°
Now you can find mQBO, by simple algebra:
3x-15=3*9-15=12
So, mQBO is12 degrees.