A bag contains 9 marbles: 4 are green, 2 are red, and 3 are blue. Laura chooses a marble at random, and without putting it back,
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Answer:
The partial quotients are 100, 20 and 6. The quotient is 126.
Step-by-step explanation:
The dividend is 378 and the divisor is 3.
First find the factors of 3, near to 300.
The value 300 is less than 378, so record the partial quotient 100 and subtract 300 from 378. Repeat the same process until the dividend has been zero.
Now the remaining divide is 78.
First find the factors of 3, near to 78.
Since 90>78, therefore 30 is not a partial quotient. The value 60 is less than 78 , so record the partial quotient 20 and subtract 60 from 78.
Now the remaining divide is 18.
The number 6 is a partial quotient.
Therefore partial quotients are 100, 20 and 6. Add the partial quotient to find quotient.
Let C be the center of the circle. The measure of arc VSU is , so the measure of the minor arc VU is
. The central angle VCU also has measure
.
Triangle CUV is isosceles, so the angles CVU and CUV are congruent. The interior angles of any triangle are supplementary (they add to 180 degrees) so
UT is tangent to the circle, so CU is perpendicular to UT. Angles CUV and VUT are complementary, so
So finally,
degrees.
