Hello from MrBillDoesMath!
Answer:
See below
Discussion:
Triangles BAD and BCD are congruent by the SAS postulate.
* Side AD = DC because BD is the perpendicular bisector of AC.
* Angle ADB and CDB are both right angles, and hence equal, because
BD is the perpendicular bisector of AC)
Corresponding parts of congruent triangles are equal so angle BAD = angle BCD, which was to be proven.
Regards,
MrB
Count the total number of students who prefer fiction novels: In 9th grade there are 35, in 10th grade there are 52, so there are 87 students who prefer fictions. The proportion of 10th grade students out of these 87 students is 52/87=0.60 approximately.
The correct answer is A. x=22
Since the angles of a rectangle are right angles (90 degrees) you would set it up as 90=5x-20. Then combine like terms and solve the equation. (If you need me to show you how step by step tell me)
Answer:
<em>Y = -4/3</em>
Step-by-step explanation:
Subtract 1 from -1/3.
Y = -1/3 - 1
Y = -1/3 - 3/3
Y = -4/3
Answer:
Step-by-step explanation:
Urn U1: 3 red and 2 yellow marbles, in total 5 marbles.
The probability to select red marble is 
Urn U2: 3 red and 7 yellow marbles, in total 10 marbles.
The probability to select red marble is 
Urn U1: 1 red and 4 yellow marbles, in total 5 marbles.
The probability to select red marble is 
The probability to choose each urn is the same and is equal to 
Thus, the probability that the marble is red is
