Answer:
B. 5√3 is your answer.
Step-by-step explanation:
This is an equilateral triangle, which means that all external sides (that make up the triangle) have the same measurement.
This means that line segment AC = 10.
Solve for the measurement of line segment AB. Line Segment AB is 1/2 of AC, making it: 10/2 = 5
Line AB = 5
Line AD = 10
This is a 1, √3, 2 triangle, in which:
1 = 5
2 = 10
Solve for √3. Multiply √3 with the 1:
5 x √3 = 5√3
B. 5√3 is your answer.
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After adding 8 students to each of 6 same-sized teams, there were 72 students altogether.
After adding an 8-pound box of tennis rackets to a crate with 6 identical boxes of ping pong paddles, the crate weighed 72 pounds.
The first situation has all equal parts, since additions are made to each team. An equation that represents this situation is 6( x + 8 ) = 72, where x represents the original number of students on each team. Eight students were added to each group, there are 6 groups, and there are a total of 72 students.
In the second situation, there are 6 equal parts added to one other part. An equation that represents this situation is 6x + 8 = 72, where x represents the weight of a box of ping pong paddles, there are 6 boxes of ping pong paddles, there is an additional box that weighs 8 pounds, and the crate weighs 72 pounds altogether.
In the first situation, there were 6 equal groups, and 8 students added to each group. 6( x + 8 ) = 72.
In the second situation, there were 6 equal groups, but 8 more pounds in addition to that. 6x + 8 = 72.
Here is how to solve it with long division and synthetic division.
Estimation for addition: 86 rounds up to 90 and 17 rounds up to 20 so:
90 + 20 = 110
Estimation for subtraction is the same thing but with subtraction
90 - 20 = 70
Now for the exact answers:
86 + 17 = 103
86 - 17 = 69
Your answers are 110, 70, 103, and 69.
