Answer:
1/4
Step-by-step explanation:
take the negative reciprocal when finding the slope of a perpendicular line.
So, -4 can be written as -4/1
flip it to make -1/4
and remove the negative to make 1/4
Answer:
∠C = 106.7°, ∠D = 73.3°, CD = 104.4
Step-by-step explanation:
As shown in the diagram attached, let a point E be made on line BD.
Hence, BE = 130 m
BE + ED = BD
ED = BD - BE
ED = 160 m - 130 m = 30 m
Also, CE = 100 m
Using Pythagoras theorem in triangle CDE:
CD² = CE² + ED²
CD² = 100² + 30²
CD² = 10000 + 900 = 10900
CD = √10900
CD = 104.4
Using sine rule in triangle CDE:
![\frac{sin(D)}{CE}=\frac{sin(E)}{CD}\\ \\sin(D)=\frac{sin(E)}{CD} *CE\\\\sin(D)=\frac{sin(90)}{104.4}*100\\ \\sin(D)=0.9578\\\\D=sin^{-1}0.9578\\\\D=73.3^o](https://tex.z-dn.net/?f=%5Cfrac%7Bsin%28D%29%7D%7BCE%7D%3D%5Cfrac%7Bsin%28E%29%7D%7BCD%7D%5C%5C%20%20%5C%5Csin%28D%29%3D%5Cfrac%7Bsin%28E%29%7D%7BCD%7D%20%2ACE%5C%5C%5C%5Csin%28D%29%3D%5Cfrac%7Bsin%2890%29%7D%7B104.4%7D%2A100%5C%5C%20%5C%5Csin%28D%29%3D0.9578%5C%5C%5C%5CD%3Dsin%5E%7B-1%7D0.9578%5C%5C%5C%5CD%3D73.3%5Eo)
In trapezoid ABCD, the sum of angles in a quadralateral is 360°, hence:
∠A + ∠B + ∠C + ∠D = 360
90 + 90 + ∠C + 73.3 = 360
∠C + 253.3 = 360
∠C = 360 - 253.3
∠C = 106.7
Answer:
Add 10y to both sides.
Step-by-step explanation:
Answer:
21
Step-by-step explanation: