Answer:
PB = 1.8
Step-by-step explanation:
PQ = 8 cm, BC = 10 cm and AB = 9 cm
∆ABC is similar to ∆APQ.
Therefore:
Plug in the values
Cross multiply
AP × 10 = 8 × 9
AP × 10 = 72
Divide both sides by 10
AP = 7.2
PB = AB - AP
PB = 9 - 7.2
PB = 1.8
Answer:
The formula for circumference is: C = 2πr or C = πd
Step-by-step explanation:
C = 2πr
(Circumference equals two times pi times radius)
C = πd
(Circumference equals pi times diameter)
Circumference is the distance around a circle.
Diameter is the measure of one side of the circle to the other.
Radius is half of the diameter.
<em>I hope this helps!</em>
He assumes that 60-x and 2x-6 are vertical angles, so he equated these two expressions.
60-x=2x-6
60+6=2x+x
66=3x
x=22
90-69=21 degrees. This is our target answer. We'll write an equation to do this:
2x-1=21
Add 1 to each side to get:
2x=22
Divide by 2 to get that x=11
Plugging this in, we see that 2(11)-1+69=90, so our answer is correct.
:)
Isolate the variable on one side of the equation and everything else to the opposite side of the variable.
You can isolate the variable by undoing the operations done to the variable.
For example, if we added 5 to x (x + 5) then we would need to undo that operation. We would need to use the inverse of addition. Which is subtraction.
5x + 6 = 2(2x - 3)
5x + 6 = 4x - 6 <-- Distribute the 2
x + 6 = -6 <-- Subtract 4x from each side
x = -12 <-- Subtract 6 from each side
So, x is equal to -12.