Answer:
1. <PNK and <PNJ
2. <HJE
3. 143°
4. <PNK and <JNV
5. False.
Step-by-step explanation:
1. Those angles are equivalent to 180°, as a linear pair should be.
2. Vertical Angles.
3. Supplementary Angles, 180-37=143°
4. Vertical Angles Theorem.
5. They do not share the same vertex or corresponding ray.
Answer:
Step-by-step explanation:
x = the quantity to find
This quantity added to ¼ of itself gives 15.
Thus, this problem can be represented as given above:
Solve for x
Multiply both sides by 4
Divide both sides by 5
Answer:
a) the probability of A students study for more than 10 hours per week
P(X>10) = 0.117
b) The probability that an student spends between 7 and 9 hour
P(7<x< 9) = 0.9522
Step-by-step explanation:
Step(I):-
Let 'X' be random variable of the normal distributed with a mean of 7.5 hours and standard deviation of 2.1 hours
mean of the Population is = 7.5 hours
standard deviation of the Population = 2.1 hours
Z = 1.1904
The probability of A students study for more than 10 hours per week
P(X>10) = 0.5-A(Z₁) = 0.5 -A(1.1904) = 0.5 - 0.3830 = 0.117
Step(ii):-
Put x=7
put x=9
The probability that an A student spends between 7 and 9 hour
P(7 < x< 9) = A(9) - A(7)
= 0.7142 +0.238
= 0.9522
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Answer:
The values of y would be -9 and 15
Step-by-step explanation:
we know that
the formula to calculate the distance between two points is equal to
we have
S(-2,3) and T(3,y)
substitute the given values in the formula and solve for y
squared both sides
take square root both sides
therefore
The values of y would be -9 and 15