Answer:
Step-by-step explanation:
5) 108
6) 55
7) 49
8) 65
m YZ = m ZW
Prove: m XZ = m ZV
Answer:
Step-by-step explanation:
m ∠XOY = m ∠WOV
so, m XY = m WV --- (i)
{ If angle subtended by two arcs at the center are equal, then length of arc are equal}
m YZ = m ZW ------- (ii) {given}
Add (i) and (ii)
XY + YZ = WV + ZW
XZ = ZV
Hence proved.
Answer:
Given that m ∠XOY = m ∠WOV then m XY = m WV, because central angles are equal to arcs.
Given: m YZ = m ZW
The addition of arcs XY and YZ make arc XZ, that is: m XY + m YZ = m XZ
The addition of arcs ZW and WV make arc XZ, that is: m WV + m ZW = m ZV
Then, m XZ = m ZV
Answer:
Factoring
Step-by-step explanation:
To solve the equation , you must apply the factoring method.
You must find two real numbers b and c such that:
and
Then the expression:
You can prove that:
So
or
or
X will be -1 and -3!
• 6 blue marbles
• 3 green marbles
• 4 black marbles
• 2 yellow marbles
Based on this information, how many black marbles could be expected in the box?
Answer:
100 black marbles
Step-by-step explanation:
The experimental probability of a black marble is
P(black) = 4/20 = 1/5
We expect that out of the 500 marbles in the box, 1/5 of them are black
1/5 (500) = 100
There should be 100 black marbles
100 black marbles can be pulled