b=7×10(opposite angle of parallelogram)
b=70
3x+10+b=180(cointerior angles)
3x=10
x=33.33
a+70=180(cointerior angles)
a=110
Answer:
Step-by-step explanation:
<u>To make the given piecewise function continuous we need:</u>
- ax² - b = 6 and 5ax + b = 6 at x = 1
<u>It gives us the system:</u>
- a(1²) - b = 6 ⇒ a - b = 6
- 5a(1) + b = 6 ⇒ 5a + b = 6
<u>Sum of the two:</u>
- a - b + 5a + b = 6 + 6
- 6a = 12
- a = 2
<u>Then b is:</u>
Answer:
<B = 70°
Step-by-step explanation:
First we need to find x, lets plugin these two equations.
2x - 30 = x + 20
Then find like terms
2x = x + 50 =
x = 50
Then we plugin 50 for x
2(50) - 30 =
100 - 30 = 70
<B = 70°
Answer:
6000
Step-by-step explanation:
In 6320, "320" is the nearest to 6000, so its 6000, if it is nearer to 7000, it will be 7000.
Answer:
−2k=k−7−8
−2k=k+−7+−8
−2k=(k)+(−7+−8)(Combine Like Terms)
−2k=k+−15
−2k=k−15
Step 2: Subtract k from both sides.
−2k−k=k−15−k
−3k=−15
Step 3: Divide both sides by -3.
−3k
−3
=
−15
−3
k=5
Step-by-step explanation: