Answer:
x(2x-17)
Step-by-step explanation:
2x^2 -11x-6x
2x^2-17x
x is common
x(2x-17)
Step-by-step explanation:
15/36 = 41.6%
because there are 36 total marbles. and 15 of them are either red or yellow.
34). take the value on the right and subtract the value on the left.
PQ = -52 - -137 = 85
QR = 91 - -52 = 143
36). if M is the midpoint of LN, then M divided the segment in to 2 equal pieces. Thus, LM =LN.
or,. 8(x-2)=4(x+2)
8x-16=4x+8
4x=24
x=6
LM is 32,. LN= 64
Answer:
45 degrees
Step-by-step explanation:
The formula to find the sum of all the interior angles in an "n-gon" (n is a variable that stands for the numbers of sides, ex) 20-gon --> 20 sided polygon) is .
Let's plug in 100 to find the sum of all the interior angles in a 100-gon.
I would rather distribute than simplify the parentheses and have to multiply 180 by 98.
So:
= degrees
[REMEMBER, IT WAS NOT GIVEN THAT THIS POLYGON IS REGULAR, SO <u>DO NOT</u> DIVIDE 17640 BY 100]
Now to find the last angle, we can just subtract since we are given the value of 99 of the 100 angles (17595 degrees).
So the last angle is degrees
If we consider "a" as the edge length, and "D" the cube's diagonal, we have that the square cube's diagonal is equal to the edge length's square plus the side diagonal (d) square (Pythagoras theorem)
a² + d² = D²
And since:
d² = a² + a²
Clearing a, we have:
a² = D²-d²
<span>a² = D²-2a²
</span><span>3a² = D²
</span>
a = √(<span>
D²/3)</span>
Surface area is equal to 6·a², so the surface area will be 6·(D²/3) =
2D²The volume is a³, so the volume will be √(D²/3)³ = √
(<span>/3</span>³<span>) =
D</span>
³/√27