1.<span>
The midpoint </span>MPQ of PQ is given by (a + c /
2, b + d / 2)<span>
2.
Let the x coordinates of the vertices of P_1 be :
x1, x2, x3,…x33
the x coordinates of P_2 be :
</span>z1, x2, x3,…z33<span>
and the x coordinates of P_3 be:
w1, w2, w3,…w33</span>
<span>
3.
We are given with:
</span>
X1
+ x2 + x3… + x33 = 99
We also want to find the value of w1 + w2 + w3… + w33.<span>
4.
Now, based from the midpoint formula:</span>
Z1 = (x1 + x2) / 2
Z2 = (x2 + x3) / 2
Z3 = (x3 + x4) / 2
Z33 = (x33 + x1) / 2<span>
and
</span>
<span>W1
= (z1 + z1) / 2
W2 = (z2 + z3) / 2</span>
<span>W3
= (z3 + z4) / 2
W13 = (z33 + z1) / 2
.
.
5.</span>
<span>W1
+ w1 + w3… + w33 = (z1 + z1) / 2 + (z2 +
z3) / 2 + (z33 + z1) / 2 = 2 (z1 + z2 + z3… + z33) / 2</span>
<span>Z1
+ z1 + z3… + z33 = (x1 + x2) / 2 + (x2 + x3) / 2
+ (x33 + x1) / 2
</span>2 (x1 + x2 + x3… + x33) / 2 = (x1 + x2 +
x3… + x33 = 99<span>
<span>Answer: 99</span></span>
Answer:
the teacher had 503 dominoes for the game.
Step-by-step explanation:
In order to find the answer, first you have to find the amount of dominoes the teacher purchased by multiplying the number of packs for the number of dominoes in each pack:
7*55=385
Now, since the stament indicates that the teacher already had 118 dominoes to use in the game, you have to add this amount to the number of dominoes that were purchased:
385+118=503
According to this, the answer is that the teacher had 503 dominoes for the game.
The answer is C. (2, -8)
I hope this helps!!!
