Answer: x = 7
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Angle STU is 15x. This is the exterior angle on the right side of the triangle
Subtract this from 180 to get angle RTS
angle RTS = 180 - (angle STU)
angle RTS = 180 - 15x
Focus solely on triangle RTS. If needed, erase the portion that extends out toward point U
If we focus on the triangle only, then angle R = angle T since they are the base angles of the isosceles triangle. We know that triangle RST is isosceles since RS = ST is given to us.
Because angle R = angle T, we know
angle R = 180-15x
angle T = 180-15x
and we also know
angle S = 4x+2
since that's given as well
Add up the three angles and set that sum equal to 180. Then solve for x
R+S+T = 180
(180-15x)+(4x+2)+(180-15x) = 180
(-15x+4x-15x) + (180+2+180) = 180
-26x + 362 = 180
-26x + 362-362 = 180-362
-26x = -182
-26x/(-26) = -182/(-26)
x = 7
Convert the fraction to a decimal by dividing the numerator by the denominator to approximate the decimal result.
Answer=0.6666666666666
Answer:
a) 
b) 
c) 
Step-by-step explanation:
From the question we are told that
Sample space S=50
Sample size n=30
a)Generally the sample space S is
The probability measure is given as
b)
Generally the probability that the class hangs Wisconsin’s flag on Monday, Michigan’s flag on Tuesday, and California’s flag on Wednesday is mathematically given as
Probability of each one being hanged is
Therefore
c)Generally the probability that Wisconsin’s flag will be hung at least two of the three days is mathematically given as
Probability of two days hung +Probability of three days hung
Therefore
Answer:
B= 50
Step-by-step explanation:
Step-by-step explanation:
similar triangles means that if the angles are the same in both triangles, then the lengths of the corresponding sides relate to each other via the same multiplication factor.
in our example here, both triangles are similar, because they have the same angles.
the side of 6m length corresponds to the side of 72m length. that is a multiplication factor of 72/6 = 12.
now, also the other 2 sides would use the exactly same factor.
therefore, the height of the building is 2×12 = 24m.
