Answer:
The measure of the shortest side is 851 miles
Step-by-step explanation:
Let
x ----> the measure of the shortest side
y ---> the measure of the middle side
z ---> the measure of the longest side
we know that
The perimeter of triangle is equal to
so
----> equation A
the shortest side measures 71 mi less than the middle side
so
----> equation B
the longest side measures 372 mi more the the middle side
so
----> equation C
substitute equation B and equation C in equation A
solve for y
Find the value of x
therefore
The measure of the shortest side is 851 miles
Answer:
D
Step-by-step explanation:
Has the correct y-axis and has the graph going the correct way for both functions.
Answer:
There is no change.
Step-by-step explanation:
Z- score is a statistical tool that is used to determine the probability of finding a number or a value under a normal distribution plot. A normal distribution assumes that the mean is equal to zero and that the standard deviation is equal to 1. Using the z-score table, we can find the probability either on the right side or the left side. Using the table hence, we find the probability to the left of the value. The probability that is equivalent to the unknown z should be equal to 0.5 + (0.27/2) = 0.635. 0.5 comes from the assumption that the area under the curve on each side is 50% of the total. The equivalent z score is equal to z = 0.345.
Answer:
see the explanation
Step-by-step explanation:
see the attached figure to better understand the problem
we know that
m∠PQS+m∠SQR=m∠PQR ----> equation A (by Addition Angle Postulate)
we have that
m∠PQR=90° ----> equation B given problem (because is a right angle)
substitute equation B in equation A
m∠PQS+m∠SQR=90°
Remember that
Two angles re complementary is their sum is equal to 90 degrees (Definition of complementary angles)
therefore
m∠PQS and m∠SQR are complementary angles
