Answer:
One solution.
Step-by-step explanation:
3(x + 9) = 2x + 54
3x + 27 = 2x + 54
3x + 27 - 2x = 2x + 54 - 2x
x + 27 = 54
x + 27 - 27 = 54 - 27
x = 27
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:
C. 3
Step-by-step explanation:
This is a 30 60 90 triangle. To get from 3 rad 3 to x you need to divide rad 3 which gives you 3.
Answer:
60
Step-by-step explanation:
(20x15)0.5
Answer:
4 .c is the right answer
Step-by-step explanation:
16=100%
20÷16=1.25 or 125%
125%-100%= 25% increase
