Answer:
Given a square ABCD and an equilateral triangle DPC and given a chart with which Jim is using to prove that triangle APD is congruent to triangle BPC.
From the chart, it can be seen that Jim proved that two corresponding sides of both triangles are congruent and that the angle between those two sides for both triangles are also congruent.
Therefore, the justification to complete Jim's proof is "SAS postulate"
Step-by-step explanation:
Answer:
False
Step-by-step explanation:
Because the gcf of 10 and 18 is 2
Answer:
Amrita's number is 6
Step-by-step explanation:
x Double the unknown number
2x Add 9
2x + 9 Divide the answer by 3
2/3x + 3 Subtract 1
2/3x + 2 Set this equal to the original number
2/3x + 2 = x
-2/3x -2/3x Subtract 2/3x from both sides
2 = 1/3x Multiply both sides by 3
6 = x
Answer: 
Step-by-step explanation:
The first step is to find the ratio of the lengths.
According to the information given in the exercise, one the solids has edges of 12 feet and the other solid has edges of 24 feet.
Therefore, the ratio of the length of the smaller solid to the length of the is the following:
Now, the ratio to the volumes of the smaller solid to the other one is the following:
Then, knowing that the volume of the smaller solid is:
You get that the volime of the larger solid is:
