If events E1 and E2 are mutually exclusive, it means that it is impossible for them to happen together. The probability of the occurrence of one or more of these events is the sum of their individual probabilities. The answer for this item would be,
P(E) = P(E1) + P(E2) + ...
The value of x is 77 cm which will make the triangles similar by SSS similarity theorem
Given length of the three sides of one triangle are 35 , 20 and 20
and length of the three sides of another triangle are x, 44,44
We need to find the values of x by using SSS Similarity theorem
We know that triangles are are similar by side - side - side similarity creation and hence the sides are in the same ratio
As both the triangles are isosceles triangles
Therefore ,
x/35 = 44/20=44/20 (Using ratio)
Solving the equation we get
x=44*35/20
x= 77
Hence the value of x is 77cm
Learn more about similarity of triangles here brainly.com/question/14285697
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2x+6 is the base
Then the equation is logarithm of 144 on basis 2x + 6 = 2
Then [2x + 6]^2 = 144
Now expand the square binomial
4x^2 + 24x + 36 = 144
4x^2 + 24x + 36 - 144 = 0
4x^2 + 24x - 108 = 0
Divide by 4
x^2 + 6x - 27 = 0
Factor: (x + 9 ) (x - 3) = 0
x = -9 and x = 3
The only valid is x = 3, because x = -9 yields 2x + 6 = - 12 and the logarithm function cannot have negative basis.
Then the answer is x = 3.
Step-by-step explanation:
The slope of given line is 4.
So the slope of line perpendicular to it will be -1/4.
So the equation is
(y-10) = - 1/4 (x-4)
4y-40 = 4 - x
x+4y=44
Yea they are cuz they have the same side and angle measurements
