Answer: X = -5
Step-by-step explanation:
3(x-5)=2(x-10)
3x - 15 = 2x -20
3x = 2x -5
x = -5
Look at the picture.
Use the Pythagorean theorem:
Yes, you have the right answer for part 1.
But for the second part it should be A. Because if it is a square, it has to be both a rectangle and a rhombus, that is the only way to prove it.
We know it is a rhombus because we are given a right angle. And rhombus' diagonals are the perpendicular bisector of each other. we know the diagonals are both perpendicular bisectors because the segments divided are congruent, and it created a right angle. Therefore, it is a rhombus.
We know it is a rectangle because we know rectangles' diagonals are congruent. We can see all four segments are congruent, so "if congruent segments are added to congruent segments, then the sum is congruent". So the diagonals are congruent, showing it is also a rectangle.
So when a figure is both a rectangle and a rhombus, it is a square.
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9514 1404 393
Answer:
46
Step-by-step explanation:
The length of base CD is twice the length of midsegment FG, so you can write the equation ...
CD = 2×FG
-3x +52 = 2(13 +5x)
52 = 26 +13x . . . . . . . . add 3x, simplify
26 = 13x . . . . . . . . . subtract 26
2 = x . . . . . . . . . . divide by 13
Then the measure of CD is ...
CD = -3x +52 = -3(2) +52 = -6 +52
CD = 46
She would need to work 24 hours because the first 20hrs x $4 is $80 $104-$80 = 24
24\6= 4 20 plus 4 is 24