Explanation

Explanation

The measure of the angle that is equal to its complement is 45 degrees.

Explanation

Explanation

Convert all fractions to decimals for comparison:

• 3/5 = 0.6
• 6/7 ≈ 0.857
• 2/3 ≈ 0.667 (greater than 0.6 and less than 0.857).

Explanation

Explanation

LCM of 2, 4 and 8 is 8.

In the given set of numbers 2, 4 and 8,

8 is the first(least or smallest) number that is common in the set of multiples of 2, 4 and 8.

Explanation

To find the actual length and breadth, multiply the map dimensions by the scale factor (140).

Length = 5cm x 140 = 700cm = 7m

Breadth = 3.75cm x 140 = 525cm = 5.25m

Explanation

Given:

Expression: lim x -> 1 5 * (2x + 3) ^ -1

1. Substitute x = 1 into the expression:

lim x -> 1 5 * (2x + 3) ^ -1

= 5 * (2(1) + 3) ^ -1

= 5 * (2 + 3) ^ -1

= 5 * (5) ^ -1

2. Simplify the expression:

To simplify, we can rewrite (5) ^ -1 as 1/5.

5 * (5) ^ -1

= 5 * 1/5

= 1

Therefore, the limit of the given expression as x approaches 1 is 1.

Explanation

If A and B are disjoint sets, then A ∩ B is equal to ∅ (the empty set).

Disjoint sets have no elements in common, so their intersection is empty.

Explanation

• To solve (124/2) × 2:
• First, calculate 124/2 = 62.
• Then, multiply 62 by 2:
• 62 × 2 = 124
• So, the answer is 124.