the missing angle is 
° .
<u>Step-by-step explanation:</u>
Here we have , a triangle knowing that one angle measures 63 degrees and the the other measures 48. We need to tell e what the missing angle measure must be. Let;s find out :
We know that , by the property of triangle : Sum of all the three angles of a triangle is always 180° . Let angles of triangle be a,b,c :
⇒ 
In question we have following parameters as :
Putting these value in we get :
⇒
⇒ 
⇒ 
⇒ 
⇒ °
Therefore , the missing angle is ° .
Answer:
x - 51 
43
x - 99 -104
75 < 69 - x
150 + x ≤ 144
Step-by-step explanation:
True. While the triangle are not congruent, their sides are proportional to each other. This is usually accomplished via a <em>scale factor</em>. For example a triangle with the side lengths 3, 3, and 3, might be similar to a triangle with a scale factor of two, which will have side lengths of 6, 6, and 6.
:)
Answer:
.13
Step-by-step explanation:
172-162 = 10
We can find the standard deviation of D by adding the variances of the heights and taking the square root:
σ
D
2
σ
D
2
σ
D
=σ
M
2
+σ
W
2
=7.2
2
+5.4
2
square root of 81
=9
Representing probability with area
When D= M-W =0, their heights are equal. When the man is taller, D is positive, and when the woman is taller, D is negative. Since we know the distribution of the difference D is normally distributed, the probability that the woman is taller than the man can be found by calculating the shaded area below D=0, in the corresponding normal distribution:
A standard normal curve is plotted on a horizontal axis representing D, that goes from negative 17 to 37. The mean, or mu sub D, = 10. The standard deviations, or sigma sub D = 9. The value 0 is marked. The area under the curve to the left of 0 is shaded, representing the probability that the woman is taller. The area to the right represents the probability that the man is taller.
normalcdf:
lower bound: −9999
upper bound: 0
μ=10
σ=9
set up the triangle with the information given. then just solve for x.
