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:
r = 51.96 inches
Step-by-step explanation:
Answer:
x =105002
Step-by-step explanation:
5x=525010
Divide each side by 5
5x/5=525010/5
x =105002
In the first box is 2.
second box 1.
third 4.
fourth 5.
fifth 3.
Answer:
the principal would earn about 25-50 cents per month on account b and earn,about 2-10 cents on account A, and account b earns you the most and has the most interest.
Step-by-step explanation:
