Answer:
10
Step-by-step explanation:
because 6+10=16. I feel so bad for all of the flowers.
-12x+3 greater than or equal to 5
-12x greater than or equal to to 2
To turn the negative sign of -12x into positive, we multiply both sides by minus, which shifts the inequality sign.
So, 12x less than or equal to 2
x is less than or equal to 1/6
Therefore, 0, -1, -3, -4 and -6 satisfy this inequality.
xis less than or equal to -3
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
{-1, 5, 11, 17, 23} ................