Answer:
VPQ = 83°
Step-by-step explanation:
You can draw a circle around the point P, and a circle have 360°, so it means that the sum off all the angles have ro be 360°. Some of these angles have the same measure, because they're formed by the same lines segments, they are:
SPR = UPV; TPU = RPQ; TPS = VPQ
360 - SPR - UPV - RPQ - TPU = VPQ + TPS
As some of they are equal, we can just multiply they by 2:
360 - 2×SPR - 2×RPQ = 2× VPQ
360 - 2×35 - 2×62 = 2×VPQ
360 - 70 - 124 = 2×VPQ
2 VPQ = 166
VPQ = 166/2
VPQ = 83°
If you mean greatest common factor then that means
factor each and group the ones that are same
81=3 times 3 times 3 times 3
108=2 times 2 times 3 times 3 times 3
117=3 times 3 times 13
so we look for the group common to all (I bolded it)
81=3 times 3 times 3 times 3
108=2 times 2 times 3 times 3 times 3
117=3 times 3 times 13
the answeis 3 times 3=9
greates common denomenator of these nubers is 9
The point P(–4, 4) that is of the way from A to B on the directed line segment AB.
Solution:
The points of the line segment are A(–8, –2) and B(6, 19).
P is the point that bisect the line segment in .
So, m = 2 and n = 5.
By section formula:
P(x, y) = (–4, 4)
Hence the point P(–4, 4) that is of the way from A to B on the directed line segment AB.
<h3>
Answer: 0.3125</h3>
As a fraction, 0.3125 = 5/16
================================================
Work Shown:
n = 5 trials
p = 0.5 is the probability of landing tails
x = 3 = number of tails we want to happen
Use the binomial PDF formula to get
(n C x)*(p)^x*(1-p)^(n-x)
(5 C 3)*(0.5)^3*(1-0.5)^(5-3)
10*(0.5)^3*(0.5)^(2)
0.3125
note: flipping a single coin 5 times is the same as flipping 5 independent coins one time