Answer:
Step-by-step explanation:
The geometric mean relations for this geometry tell you the length of each segment (x or y) is the root of the product of the hypotenuse segments it touches.
x = √(9×5) = (√9)(√5) = 3√5
y = √(9×(9+5)) = (√9)(√14) = 3√14
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<em>Additional comment</em>
The geometric mean of 'a' and 'b' is √(ab).
The geometric mean relations derive from the fact that the three triangles in this geometry are similar. That means corresponding sides are proportional.
Segment x is both a long side (of the smallest triangle) and a short side (of the medium-size triangle). Then it will be involved in proportions involving the relationship of the long side and the short side of the triangles it is part of:
long side/short side = x/5 = 9/x
x² = 5·9
x = √(9×5) . . . . as above
In like fashion, y is both a long side and a hypotenuse, so we have ...
long side/hypotenuse = y/(9+5) = 9/y
y² = (9+5)(9)
y = √(9×14) . . . . . as above
The same thing holds true on the other side of the triangle. The unmarked segment is both a short side and a hypotenuse, so its measure will be the geometric mean of 14 and 5, the hypotenuse and its short segment.
Answer:
y = -x +8
Step-by-step explanation:
The slope intercept form of a line is given by
y = mx+b where m is the slope and b is the y intercept
4x + 4y = -32
Subtract 4x from each side
4x-4x + 4y =-4x -32
4y = -4x -32
Divide each side by 4
4y/4 = -4x/4 -32/-4
y = -x +8
The slope is -1 and the y intercept is 8
Answer:
The answer should be 2.5b + 2a + 5 = Answer
Step-by-step explanation:
Answer:
Proved: PM ≅ ON
Step-by-step explanation:
A parallelogram is a quadrilateral with two opposite sides equal and parallel.
Find attached the diagram obtained from the information
From the above definition, quadrilateral MNOP is a parallelogram if:
Line MN is parallel to Line OP
Line ON is parallel to Line PN
From the diagram
Line MN is parallel to Line OP
Side MN is = side OP
Line ON is parallel to Line PN
Side ON is = side PN
Since the geometric size is equivalent
PM ≅ ON
Where ≅ means congruent to
Proved.
Answer:
30x8
8x0=0
8x3=24
30x8=240
Step-by-step explanation: