Answer:
DE=11 UNITS
Step-by-step explanation:
Given AC=CD
And AC=2AB as B is the mid point of AC
Hence 2(3x+4)=11x-17
6x+8=11x-17
11x-6x=17+8
5x=25
x=5
Hence AC=11(5)-17= 55-17=38
AC =CD = 38
CE = 49
Hence DE = CE-CD= 49-38 = 11
units
Joshua has $6.25 more than Evie does, and Adam has $10 less than Joshua. Together, the three have $49. How much money does each
1 answer:
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A picture can help.
The median to the long side divides the isosceles triangle into two right triangles with hypotenuse 10 and short leg 6. Thus the long leg (median of interest) is found by the Pythagorean theorem to be
... √(10² -6²) = √64 = 8
Then the midpoint of the short side is found to be 6 + (6/2) = 9 units to the side and 8/2 = 4 units above the opposite vertex. Hence the square of the length of that median is 9² + 4² = 97.
The sum of squares of interest is
... 8² + 2×97 = 258
