Answer:
Option C is the right choice.
Step-by-step explanation:
The given coordinates define a rectangle, and our objective is to show that the diagonals JL and KM are congruent.
We know that rectangles possess four right angles.
To prove the congruence of the diagonals JL and KM, we will utilize the Pythagorean theorem.
In triangle KLM, KL has a length of b units while LM has a length of a units. By applying the Pythagorean theorem 
In triangle JML, JM is b units long, and LM remains a units long. We again can apply the Pythagorean theorem
Thus, we find that
and option C is the correct choice.
Answer:
The appropriate ratio to convert 45 cm into feet is 1 foot / 2.54 cm since the centimeters will cancel out.
Step-by-step explanation:
We aim to find the ratio that will allow us to convert from centimeters to feet for 45 cm.
The right ratio here is 1 foot / 2.54 cm, as the cm unit will be eliminated, resulting only in feet.
This works as follows;
1 foot / 2.54 cm * 45 cm.
This simplifies to;
(45 cm * 1 foot) / 2.54 cm.
B. f(x) ≤ 0 over the interval [0, 2]. D. f(x) > 0 over the interval (–2, 0). E. f(x) ≥ 0 over the interval [2, ).
Answer:
5 ft
Step-by-step explanation:
Denote the height of the previous jump as j. Therefore, it follows that 1.1j equals 5.5 ft.
By dividing both sides by 1.1, we derive j = 5 ft. This indicates the height from the prior jump.
Total amount = $8.00; 30% of this total is 0.3 * $8.00 = $2.40. There are twenty 5-cent coins in 1 dollar; therefore, the quantity of 5-cent coins in $2.40 is calculated as 2.40 * 20 = 48. Answer: 48.