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Vesnalui [34]
3 years ago
9

What is the value of y?114Answer:

Mathematics
2 answers:
Taya2010 [7]3 years ago
7 0
Y = 57
because is the remaining angle is (180-114) then 2y = 114
2y = 114 : divide it by 2
y = 57
In-s [12.5K]3 years ago
6 0

Answer:

value of y is, 57^{\circ}

Step-by-step explanation:

Exterior angle property of a triangle says that:

Sum of the two opposite interior angles.

From the given triangle:

Sum of two  opposite interior angles = y +y = 2y

Since, 114 degree is an exterior angle of a triangle,

By Exterior angle property of a triangle :

2y = 114

Divide both sides by 2 we have;

y = 57 degree

Therefore, the value of y is, 57^{\circ}

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the third side of an isosceles triangle is 8 inches shorter than the other two sides the perimeter of the triangle is 70 inches
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Isosceles triangle has 2 sides that are the same length. So what you have is three sides that measure: x, x, and (x-8). 70 = x + x + (x-8).
70 = x + x + x - 8
78 = 3x
x = 26.
and 26 - 8 = 18.
So two of your sides are 26 inches and the last side is 18 inches. 
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Write 9/7 as a mixed number. Give your answer in its simplest form.
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1 2/7 ........................................

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Nicola claims that the product of any fraction and 1616 will always be less than 1616. complete the sentences below about nicola
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Two factors of x² +5x+6 are ….. and ….. ​
myrzilka [38]

Hello!

\large\boxed{(x + 2)(x + 3)}

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3 years ago
Suppose that in a casino game the payout is a random variable X . If X is positive, you gain money, if negative, you lose.
Vanyuwa [196]

Answer:

the conditional probability that X = 1 , X = 2 and X = 3 is  0.7333 (73.33%) , 0.25 (25%) and 0.0167 (1.67%) respectively

Step-by-step explanation:

a player wins money when i>0 then defining event W= gain money , then

P(W) = p(i>0) = p(1)+p(2)+p(3)

then the conditional probability can be calculated through the theorem of Bayes

P(X=1/W)= P(X=1 ∩ W)/P(W)

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P(X=1 ∩ W)= probability that the payout is 1 and earns money

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then

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similarly

P(X=2/W)=p(2) /[p(1)+p(2)+p(3)] = 3/32 /(11/40+3/32+1/160 ) = 0.25 (25%)

P(X=3/W)=p(2) /[p(1)+p(2)+p(3)] = 1/160 /(11/40+3/32+1/160 ) = 0.0167 (1.67%)

8 0
3 years ago
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