Question 7 il pont)
(2 +377)(2 – 377)

Final answer:

The two angles are 13 degrees and 77 degrees respectively. Since they are complementary, they add together to make a total of 90 degrees.

Explanation:

In this question, we are seeking the measure of two angles. These angles are complementary, meaning together they add up to 90 degrees. Let's denote the first angle as 'x' and the second angle (which is 64 degrees more than the first) as 'x+64'.

Since they are complementary, this indicates that:

x + (x + 64) = 90

This simplifies into:

2x + 64 = 90

We can then subtract 64 from both sides, giving:

2x = 90 - 64, so 2x = 26

Therefore, if we divide both sides by 2 to isolate 'x', we get:

x = 13

So, the first angle measures 13 degrees. The second angle, as specified in the question, is 64 more than the first angle, so it measures:

x + 64 = 13 + 64 = 77 degrees

Result:

The first angle measures 13 degrees and the second angle measures 77 degrees.

Learn more about Complementary Angles here:

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b) The probability of Lydia rolling pairs of the same number is 1/6.

c) The probability that at least one number will be a 3 is 11/36

What is Probability?

Probability refers to potential. A random event's occurrence is the subject of this area of mathematics.

The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.

The degree to which something is likely to happen is basically what probability means.

a) The Sample Space is

(1, 1)       (1, 2)   (1, 3)        (1, 4)         (1, 5)         (1, 6)

(2, 1)     (2, 2) (2, 3) (2, 4) (2, 5) (2, 6)

(3, 1)     (3, 2) (3, 3) (3, 4) (3, 5) (3, 6)

(4, 1)     (4, 2) (4, 3) (4, 4) (4, 5) (4, 6)

(5, 1)     (5, 2) (5, 3) (5, 4) (5, 5) (5, 6)

(6, 1)     (6, 2) (6, 3) (6, 4) (6, 5) (6, 6)

b) The probability of Lydia rolling pairs of the same number

= 6/36

= 1/6

c) The probability that at least one number will be a 3

= 11/36

Learn more about Probability here:

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Answer:

Step-by-step explanation:

A) {1,2,3,4,5,6}{1,2,3,4,5,6}

B) The probability of rolling the same number is 2/12

C) the probability of one of the numbers being a three is 1/6