A number cube with the numbers 1 through 6 is rolled. What is the probability of the number cube showing a 2 or a number less than 5?

2/3

Step-by-step explanation:

The possible rolls are 1,2,3,4,5,6  total of 6

2 or less than 5 rolls are 1,2,3,4  total of 4

P (2 or less than 5) = total number of choices of 2 or less than 5 / total

                                 =4/6

                                    =2/3

⅔

Step-by-step explanation:

2 or less than 5:

1,2,3,4

4/6 = 2/3

m∠cdf = 43° , m∠gdf = 114°, m∠gde = 23°, m∠edh = 23° , m∠cdh = 157°

step-by-step explanation:

since, it is given that de bisects the angle gdh ⇒ de divides the angle gdh into two equal angles.

⇒ m∠gde = m∠edh

⇒ 8·x   - 1 = 6·x + 5

⇒ x = 3

so, m∠gde = 8·x - 1 = 23°

and m∠edh = 23°

now, it is given ∠cde is an straight angle so, m∠cde = 180°

⇒ m∠cdf + m∠fdg + m∠gde = 180°

⇒ 43° + m∠fdg + 23° = 180°

⇒ m∠fdg = 114°

again, m∠cde = m∠cdh + m∠edh = 180°

m∠cdh + 23° = 180°

⇒ m∠cdh = 157°

1 x=22.52

2: 65/39=604+39x

65x-39x=604

26x=604

x=604/26

×=23.23