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
9>n>17
it means that n can be whatever number between 9 and 17
12+18=30 so together they have $30.00 in all.
Answer:
(b) ln(33/5)
Step-by-step explanation:
Remember that in general
Answer:
sorry i wish i knew how but i would like to give you aomething other than an answer for your question and i hope this is ok.
Step-by-step explanation:
every day is a new day and a new opportunity to change the world no matter how BIG or how small. even if you make mistakes. always remember this though. whatever you put into the world, whether it be good or bad, it will always come back three times.
meaning that when you do something good something three times as good will happen to you. The same is so for bad except it would be 3 times as bad as will happen to you. I hope your day is great and may you do many great things.
