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
Ok so the first one is
1.x=135
2.x=-23
3.x=3
4.x=70
Answer:
Step-by-step explanation:
-5+-15= -20
4+15= 19
-20+19
-1
Answer:
Solve for the first variable in one of the equations, then substitute the result into the other equation.
Point Form:
(−1/2,1/2)
Equation Form:
x=−1/2,y=1/2
Step-by-step explanation:
Answer: D: 17.3
Step-by-step explanation:
I believe its D because the house and the ground is a 90 degree angle, and at 60 degree angle is a 20 foot ladder. alright then 90 plus 60 = 150 degrees.
then add the twenty foot ladder with each choice for the answer:
A: 20 + 6.1 = 26.1
B: 20 + 10.0 = 30
C: 20 + 14.1 = 34.1
D: 20 + 17.3 = 37.3
The answer would be D because it is the closer number to 150. Because it says " which is the closest height up the house the ladder reaches?" The answer is D the closest number. I HOPE THIS HELPS YOU! =D
