Explain the difference between the union and intersection of two sets.

Union between sets (lets call them A and B) is when all of the elements in set A and B are together. For example, say set A is x, y, z, and set B is l, m, n. A U B would be l, m, n, x, y, z.

Intersection between sets is only for shared elements in each set. For example, if set A is a, b, c, x and set B is  x, y, z, a, then the intersection of sets A and B is a, x

11

step-by-step explanation:

32.50-7.50=25

225/25=11

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°