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3 years ago

In the diagram below DE is parallel to XY. What is the value of y?

Mathematics

2 answers:

jeka943 years ago

7 0

it would be 94 hope this helps

Alenkasestr [34]3 years ago

7 0

Answer:

Option A

Step-by-step explanation:

Straight lines DE and XY are parallel lines and a transverse is intersecting these lines at two distinct points.

As evident from the figure ∠Y and angle having the measure of 94° are alternate interior angles.

Since alternate interior angles are always equal, so ∠y = 94°

Option A is the answer.

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Suppose you are given either a fair dice or an unfair dice (6-sided). You have no basis for considering either dice more likely

hoa [83]

Answer: Our required probability is 0.83.

Step-by-step explanation:

Since we have given that

Number of dices = 2

Number of fair dice = 1

Probability of getting a fair dice P(E₁) = $\dfrac{1}{2}$

Number of unfair dice = 1

Probability of getting a unfair dice P(E₂) = $\dfrac{1}{2}$

Probability of getting a 3 for the fair dice P(A|E₁)= $\dfrac{1}{6}$

Probability of getting a 3 for the unfair dice P(A|E₂) = $\dfrac{1}{3}$

So, we need to find the probability that the die he rolled is fair given that the outcome is 3.

So, we will use "Bayes theorem":

$P(E_1|A)=\dfrac{P(E_1)P(A|E_1)}{P(E_1)P(A|E_1)+P(E_2)P(A|E_2)}\\\\(E_1|A)=\dfrac{0.5\times 0.16}{0.5\times 0.16+0.5\times 0.34}\\\\P(E_1|A)=0.83$

Hence, our required probability is 0.83.

8 0

3 years ago

Which of the following will result in a rational answer?

Brrunno [24]

I think the answer is d

7 0

2 years ago

Enter the y coordinate of the solution to this system of equations. <br> -2x+3y=-6<br> 5x-6y=15

julia-pushkina [17]

Y coordinate on solving both equations comes out to be 0
-2x+3y=-6
3y = -6+2x
put the value of 3y in equation 2nd
5x-2(-6+2x) =15
5x+12-4x = 15
x=3
put value of X in 3y = -6+2x
3y = -6+2*3 = -6+6 = 0
thus y = 0

7 0

3 years ago

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Step-by-step explanation:

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2 years ago

Question 8 of 10

Levart [38]

Answer:

Step-by-step explanation:

Indicates leg lengths of 1 and√3 and hypotenuse 2, the desired ratio is √3/2

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2 years ago