2 kg is bigger because 1 kg=1000 g and so 1500 g would equal 1.5 kg which is smaller than 2 kg
Answer: C is the correct statement " In ΔADC and ΔBCD AD=BC, opposite sides of a rectangle are congruent"which completes the proof .
Step-by-step explanation:
Given: A figure shows a rectangle ABCD having diagonals AC and DB.
Anastasia wrote the proof given in picture to show that diagonals of rectangle ABCD are congruent.
We can see the Statement 2 which tells that AB=CD, opposite sides of a rectangle are congruent. In Statement 3 she used Pythagoras theorem to show AC²= BD² by using Statement 1 and 2.
Thus we can see she need to introduce two triangles named as ACD and BCD and the remaining sides to write the proof is AD=BC with correct reason i.e. opposite sides of a rectangle are congruent.
Therefore Statement 1 would be In ΔADC and ΔBCD AD=BC, opposite sides of a rectangle are congruent.
Answer:
Music land has the better deal with each CD costing only $7.44 compared to $9.80 at CD City.
Step-by-step explanation:
In order to find the price per CD, you must divide the cost by the number of CDs in the bundle.
<u>Music Land</u>
$59.50/8 CDs = $7.44 per CD
<u>CD City</u>
$49/5 CDs = $9.80 per CD
Therefore, we know that Music Land is a better deal.
From the given triangle in the photo, the lengths of the sides are 3m and a, the hypotenuse is c. One angle, opposite of 3m is given to be 50 degrees C. The right equation that would solve c is,
sin (50 degrees C) = 3m / c
Thus, the answer is the first choice.
Answer: 15
<u>Step-by-step explanation:</u>
varies directly means: 
Plug in the given values of x and y to solve for k:
→ 7 = k
Next, plug in the k-value of 7 and the given y value of 105 to solve for x:



15 = x