Answer:
3*(7 + 2) = 3*7 + 3*2
Option 3
Step-by-step explanation:
Distributive property of multiplication over addition:
a*(b+ c) = (a*b ) + (a * c)
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
4th root is even so there can be negative solutions.
0.0001
0.001 * 0.1
0.01 * 0.1 * 0.1
0.1 * 0.1 *0.1 * 0.1
4th root (0.0001) = 0.1 or -0.1
Answer:
Is this the full question?
Step-by-step explanation:
