Let x = hours to meet
train one has a 2 hour head start or 210 km head start
210 + 105x = 135x
30x = 210
x = 7 hours to meet
Answer:
Place the compass point on vertex Y and draw an arc that intersects YX and YZ
Step-by-step explanation:
Given the construction of dividing an angle inteo two equal parts.
we have to find the first step of construction.
As seen in figure the angle ∠XYZ is dividing into two equal parts.
The first step of construction is to place the needle of compass at Y and draw an arc that intersects YX and YZ.
Hence, the correct option is option C.
Place the compass point on vertex Y and draw an arc that intersects YX and YZ
Answer:
BZ = 64/23 = 2 18/23
Step-by-step explanation:
The angle bisectors divide the triangle into proportional parts, so we have ...
CB/CY = AB/AY
CB = CY(AB/AY) = 4(8/6) = 16/3 . . . . multiply by CY and evaluate
and ...
BZ/CB = AZ/AC
BZ = AZ(CB/AC) . . . . multiply by CB
But we have ...
AZ = 8 -BZ, so this becomes ...
BZ = (8 -BZ)(16/3)/(10)
BZ(1 +8/15) = 64/15 . . . . add the BZ term on the right to both sides
BZ = (64/15)(15/23) = 64/23 . . . . divide by the coefficient of BZ
BZ = 64/23 = 2 18/23
Answer:
The cardinality is 6.
Step-by-step explanation:
The cardinality of a set is a measure of the number of elements in the set. The set S has 6 elements, characters as listed, therefore we say the cardinality of the set S is 6, or |S|=6.
