Angle D is 180° -75° -45° = 60°. Drawing altitude MX to segment DN divides the triangle into ΔMDX, a 30°-60°-90° triangle, and ΔMNX, a 45°-45°-90° triangle. We know the side ratios of such triangles (shortest-to-longest) are ...
... 30-60-90: 1 : √3 : 2
... 45-45-90: 1 : 1 : √2
The long side of ΔMDX is 10√3, so the other two sides are
... MX = MD(√3/2) = 15
... DX = MD(1/2) = 5√3
The short side of ΔMNX is MX = 15, so the other two sides are
... NX = MX(1) = 15
... MN = MX(√2) = 15√2
Then the perimeter of ΔDMN is ...
... P = DM + MN + NX + XD
... P = 10√3 +15√2 + 15 + 5√3
... P = 15√3 +15√2 +15 . . . . perimeter of ΔDMN
Answer:
23/21
Step-by-step explanation:
The slope is computed from ...
m = (y2 -y1)/(x2 -x1)
For the given points, the slope is ...
m = (26 -3)/(18-(-3)) = 23/21
The slope of the trend line is 23/21.
Step-by-step explanation:
-4x - 28 = -4(x + 7) or 4(-x - 7)
Topic: Algebraic factorization
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Answer the answer is 25
Explanation:
One and a half = 1.5, so 1.6 is more than 1.5.
It's very trivial question.
