Answer:
∠SVU = 49°
Step-by-step explanation:
∠SVU is an inscribed angle and arc SU is the arc it intercepts
If you didn't know an inscribed angle is equal to half the measure of its intercepted arc.
Hence ∠SVU = arc SU / 2
if arc SU = 98
Then ∠SVU = 98/2 = 49
Formula for standard deviation sample calculation is:
SD = sqrt (( ∑( x - m)²) / ( n - 1 )),
where x stays for each value in the data set, m stays for mean of all values in the data set, and n stays for the number of values in the data set.
For example: Find the sample standard deviation for the set of numbers: 10, 11, 11, 12, 12.
First we will find mean of all avlues: m = ( 10 + 11 + 11 + 12 +12 ) / 5 = 11.2
SD = sqrt (( 1.2² + 0.2² + 0.2² + 0.8² + 0.8² ) / ( 5 - 1 ))=
= sqrt ( 2.8 / 4 ) = √0.7 = 0.837
Answer:
Step-by-step explanation:
Looking at the diagram,
Line DT is parallel to line line BM, therefore, triangle DHT is similar to triangle BHM. This means that
DH/DB = TH/MH
DH = 15 + 6 = 21
TH = 9 + x
Therefore
(9 + x)/21 = 9/6
Cross multiplying, it becomes
6(9 + x) = 21 × 9 = 189
54 + 6x = 189
Subtracting 54 from the left hand side and the right hand side of the equation, it becomes
6x + 54 - 54 = 189 - 54
6x = 135
Dividing the left hand side and the right hand side of the equation by 6, it becomes
6x/6 = 135/6
x = 22.5
Correct answer: D. Upon Itself
A line segment has an angle that is exactly 180°. As perpendicular lines are lines meeting at the right angle, or 90°. If we then use paper folding to construct a line perpendicular to a given line, the given line should be directly above each other once folded.
Answer:
obtuse
Step-by-step explanation:
When c, the hypotenuse, is greater than the legs (a and b), it's an obtuse triangle
