<h3>
Answer:</h3>
48
<h3>
Step-by-step explanation:</h3>
Let x represent the distance OC. Then CD = x+2, and DP = 16-x. The radius of circle P is ...
... CD +DP = (x+2) +(16-x) = 18
The radius of circle O is ..
... OC + CD = (x) + (x +2) = 2x+2
The length OP is ...
... OC + CP = (x) + (18) = x+18.
Now, the perimeter of ΔAOP is ...
... radius of circle O + radius of circle P + OP = 80
... = (2x+2) + 18 + (x+18) = 3x+38 = 80
Then x is ...
... x = (80 -38)/3 = 14
and the radius of circle O is
... 2x +2 = 2·14 +2 = 30
The desired sum is ...
... OB + BP = (radius of circle O) + (radius of circle P) = 30 + 18
... OB + BP = 48
Answer:
18
Step-by-step explanation:
3/1 x 6/1 = 18/1 = 18
Answer:
you must add 2 to the equation
Step-by-step explanation:
the answer is 60.
all you have to do is multiply all the numbers.
3 × 4 × 5 = 60
first:
multiply two of the numbers together. anything you like.
4 × 3 is 12
and now multiply the left number with the
result.
which is
5 × 12 = 60
You cannot rely on the drawing alone to prove or disprove congruences. Instead, pull out the info about the sides and angles being congruent so we can make our decision.
The diagram shows that:
- Side AB = Side XY (sides with one tick mark)
- Side BC = Side YZ (sides with double tickmarks)
- Angle C = Angle Z (similar angle markers)
We have two pairs of congruent sides, and we also have a pair of congruent angles. We can't use SAS because the angles are not between the congruent sides. Instead we have SSA which is not a valid congruence theorem (recall that ambiguity is possible for SSA). The triangles may be congruent, or they may not be, we would need more information.
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So to answer the question if they are congruent, I would say "not enough info". If you must go with a yes/no answer, then I would say "no, they are not congruent" simply because we cannot say they are congruent. Again we would need more information.
