Answer:
AC = 24
Step-by-step explanation:
DE is the midline of the triangle, parallel to AC. It is half the length of AC, so ...
2·DE = AC
2(2x -14) = 3x -15
4x -28 = 3x -15 . . . . . eliminate parentheses
x = 13 . . . . . . . . . . . . . add 28-3x to both sides
AC = 3x -15 = 3(13) -15
AC = 24
_____
<em>Additional comment</em>
DE = 2(13) -14 = 12, half the length of AC.
Here are the answers for the HW:
Answer:
...
Step-by-step explanation:
none
A, c, and d
Explanation: 30 of the 50 slices have been eaten, 30/50 is the same as 60/100 (which is answer c) which equals 60% (answer d) and it is also equal to 0.6 (answer a) hope this helps :)
Answer:
The answer to your question is 92.4 cm²
Step-by-step explanation:
Data
Side of a square = 6 units
Longest side of a rhombus = 10 units
Process
1.- Calculate the area of the square
Area = 6 x 6 = 36 u²
2.- Calculate the area of the rhombus
-Calculate the length of the short diagonal
6² = x² + x²
6² = 2x²
36 = 2x²
18 = x²
x = √18
-Short diagonal
x = 2√18
-Calculate the length of the long diagonal
10² = (√18)² + b²
b² = 100 - 18
b² = 82
b = √82
-Length of the long diagonal
d = √82 + √18
-Area of the rhombus
Area = (√82 + √18)(2√18) / 2
Area = (√82 + √18)(√18)
3.- Calculate the total area
Total area = (√82 + √18)(√18) + 36
-Simplification
Total area = (13.298)(4.243) + 36
Total area = 56.418 + 36
Total area = 92.4 cm²