See the attached figure to better understand the problem
we know that
1) First way to find the value of ain the triangle ABC
<span>applying the Pythagorean theorem
AC</span>²=AB²+BC²--------> BC²=AC²-AB²-----> BC²=25²-15²-----> BC²=625-225
BC²=400--------> BC=20 units
a=BC
a=20 units
2) Second way to find the value of a
in the triangle ABD
AB²=AD²+BD²--------> BD²=AB²-AD²-----> BD²=15²-9²---> BD²=144
BD=12 units
in the triangle BDC
a=BC
BC²=BD²+DC²-----> 12²+16²----> 144+256------> BC²=400
BC=20 units
a=20 units
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Step-by-step explanation:
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Answer:
x = -2bm/(m²+1)
Step-by-step explanation:
One line has equation
... y = mx + b
The slope of the perpendicular line is the negative reciprocal of the slope of the original line. The perpendicular line with the opposite y-intercept has equation
... y = (-1/m)x - b
The point of intersection is where the x- and y-values are equal, so ...
... mx + b = (-1/m)x - b
... (m +1/m)x = -2b . . . . . . . add 1/m - b to both sides
... (m²+1)x = -2bm . . . . . . . multiply by m
... x = -2bm/(m²+1) . . . . . . divide by the coefficient of x
Answer:Clockwise rotation of 180° about the origin
Step-by-step explanation: my friend told me and it was right trust
Answer:
x = 15m
Step-by-step explanation:
The second triangle (large) is 3 times greater than the first triangle (small).
6 x 3 = 18 4 x 3 = 12 5 x 3 = x
5 x 3 is 15, so x is 15m