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Hitman42 [59]
2 years ago
14

So I know the answer I just need to know the process. Could someone pls help?

Mathematics
1 answer:
Maslowich2 years ago
6 0

Answer:

FIGURE 1:

x = 118; y = 96

FIGURE 2:

x = 85; y = 65

Step-by-step explanation:

FIGURE 1:

You know that x = 118 because of the Corresponding Angles theorem.

Because of the Exterior Angle Theorem (triangles), you can then figure out what y is with the following equation: y + 22 = 118 to get y = 96.

FIGURE 2:

In this figure, you first need to determine what the third angle in the bottom right triangle is. Using the Triangle Sum Theorem, you would find that the third angle is 70.

Because of the Vertical Angles Theorem, you know that the third angle in the top left triangle is also 70. With this information, you can now solve for x using the Triangle Sum Theorem to get x = 85.

Now that you know x, you can solve for y. The other 3 angles in the quadrilateral in which y is a part of are 90, 110, and 95. These could be figured out using the Linear Pair Postulate, the Vertical Angles Theorem, and the Linear Pair Postulate respectively. Now you can figure out y by using the Quadrilateral Sum Conjecture to get y = 65.

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Write L if it is likely to happen and U if unlikely to happen.
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Answer:

Probabilities

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a.      4/5                                 5/8

b.     3/5                                  3/8

c.     4/5                                  4/7

d.    0.3                                  0.09

e.    5/6 and 4/5                   2/3

Step-by-step explanation:

Probabilities in Percentages:

a. The probability of 4/5 = 80% and 5/8 = 62.5%

b. The probability of 3/8 = 37.5% and 3/5 = 60%

c. The probability of 4/5 = 80% and 4/7 = 57%

d. The probability of 0.3 = 30% and 0.09 = 9%

e. The probability of 2/3 = 67% and 4/5 = 80% and 5/6 = 83%

b) To determine the relative values of the fractional probabilities, it is best to reduce them to their fractional or percentage terms.  When this is done, the relative sizes become obvious, and then, comparisons can be made.

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Answer:

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Step-by-step explanation

Find the diagram attached

First you must note that the sum of two supplementary angles is 180°

Also, since the sum of angle on a straight line is 180°, the angles that are supplementary must lie on the same straight line.

Based on the diagram, the pair of angles that lies on the same straight line are ∠4 and ∠3, ∠4 and ∠5 and ∠3 and ∠6. If that is the case, hence this angles are supplementary.

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Step-by-step explanation:

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Step-by-step explanation:

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