Answer:
Step-by-step explanation:
2) definition of angle bisector
4) division property of equality
5) division property of equality
6) substitution property
7) SAS similarity
Answer:
the answer is below
Step-by-step explanation:
We have the total number of possible samples = 4 * 4 = 16 (As 4 choices for each value)
in addition we have to as all sample occur with equal probability, probability of each sample = 1/16, below is samling distribution of mean
x1 x2 probabilityP(x1,x2) sample mean
190 190 1/16 190
190 100 1/16 145
190 272 1/16 231
190 74 1/16 132
100 190 1/16 145
100 100 1/16 100
100 272 1/16 186
100 74 1/16 87
272 190 1/16 231
272 100 1/16 186
272 272 1/16 272
272 74 1/16 173
74 190 1/16 132
74 100 1/16 87
74 272 1/16 173
74 74 1/16 74
Summarizing above with adding duplicate values
sample mean probability
74 1/16
87 1/8
100 1/16
132 1/8
145 1/8
173 1/8
186 1/8
190 1/16
231 1/8
272 1/16
Answer: X is equal to either 0 or -42
Step-by-step explanation:
Answer:
The diameter will increase at a rate of 1/30π cm/min
Step-by-step explanation:
Here we want to calculate the rate at which the diameter will increase
Mathematically, the area of a sphere is given as;
A = 4πr^2
But r = d/2
so A = 4 * π * d/2 * d/2 = πd^2
dA/d(d) = 2πd
Thus dd/dA = 1/2πd = 1/2 * π * 15 = 1/30π
Given dA/dt = 10
Mathematically;
d(d)/dt = d(d)/dA * dA/dt
dd/dt = 1/30π * 10 = 10/30π = 1/3π cm/min