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galben [10]
4 years ago
9

Two parallel lines are crossed by a transversal. What is the value of x?

Mathematics
2 answers:
olga_2 [115]4 years ago
8 0
5x + 5 + 115 = 180
5x + 120 = 180
5x = 180 - 120
5x = 60
x = 60/5
x = 12
Radda [10]4 years ago
6 0

<u>Answer</u>

x = 12


<u>Explanation</u>

The two given angles are supplementary angles. That means that the add up to 180 degrees.

(5x + 5) + 115 = 180

5x +5 + 115 = 180

5x + 120 = 180

5x= 180 - 120

5x = 60

x = 12

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Conditional probability is probability of a second event given a first event has already occurred.

Step-by-step explanation:

6 0
3 years ago
Suppose there are 6 runners in the finals of a 100 m sprint, Abbie, Becca, Clarice, Danna, Emma, and Francine. Answer each of th
riadik2000 [5.3K]

Step-by-step explanation:

1. Abbie's chance to place first is 12÷100 = 0.12              12÷100 = 0.12

and Becca's chance to place second is 8÷100= 0.08     8÷100= 0.08

We can determine the probability that Abbie will place first and Becca will place second because ., Abbie gets more chance than Becca                             (0.12 -0.08 =0.04) to get first place

2. Danna's chance to place first is P(A) = 48÷100 = 0.48   48÷100 = 0.48

Francine's chance to place second is P(B) = 32 ÷100 = 0.38    32 ÷100 = 0.38

The probability that Danna or Francine wins the race is

=  P(A or B) = P(A) +P(B) - P(A and B)

= 0.48 +0.32 - (0.48× 0.32)  0.48 +0.32 - (0.48× 0.32)

= 0.8 - 0.15 = 0.65       0.8 - 0.15 = 0.65

3. Yes .,that Grace's probabilities were wrong  Because Grace only informs about the winning chance of  Abbie, Becca ,Danna,and Francine.

Grace gives 12% to Abbie and 48% to Danna ., in real Abbie won the first place ., so ., Grace's probabilities were wrong

4 0
3 years ago
Can someone help me with this and explain it?
Softa [21]

Answer:

4 pizzas

Step-by-step explanation:

Equation:

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4 0
3 years ago
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motikmotik

Answer:

D

Step-by-step explanation:

An angle of depression is measured from the horizontal downwards.

this is angle D in the diagram

3 0
2 years ago
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Alexxandr [17]

9514 1404 393

Answer:

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Step-by-step explanation:

The graph of this equation on an x-y plane is a vertical line. The input value x=15 maps to an infinite number of outputs (y-values). For a relation to be a function, each input can only map to one output.

  x = 15 is not a function

7 0
3 years ago
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