Answer: 40
Step-by-step explanation: 60/3= 20 20x3= 60 20x2=40
Answer:
366.6 mm²
Step-by-step explanation:
Step 1: find XY using the Law of sines.
Thus,
![\frac{XY}{sin(W)} = \frac{WY}{sin(X)}](https://tex.z-dn.net/?f=%20%5Cfrac%7BXY%7D%7Bsin%28W%29%7D%20%3D%20%5Cfrac%7BWY%7D%7Bsin%28X%29%7D%20)
m < W = 180 - (70+43) (sum of angles in a triangle)
W = 180 - 113 = 67°
WY = 24 mm
X = 43°
XY = ?
![\frac{XY}{sin(67)} = \frac{24}{sin(43)}](https://tex.z-dn.net/?f=%20%5Cfrac%7BXY%7D%7Bsin%2867%29%7D%20%3D%20%5Cfrac%7B24%7D%7Bsin%2843%29%7D%20)
Cross multiply:
![XY*sin(43) = 24*sin(67)](https://tex.z-dn.net/?f=%20XY%2Asin%2843%29%20%3D%2024%2Asin%2867%29%20)
![XY*0.68 = 24*0.92](https://tex.z-dn.net/?f=%20XY%2A0.68%20%3D%2024%2A0.92%20)
Divide both sides by 0.68 to solve for XY
![\frac{XY*0.68}{0.68} = \frac{24*0.92}{0.68}](https://tex.z-dn.net/?f=%20%5Cfrac%7BXY%2A0.68%7D%7B0.68%7D%20%3D%20%5Cfrac%7B24%2A0.92%7D%7B0.68%7D%20)
![XY = 32.47](https://tex.z-dn.net/?f=%20XY%20%3D%2032.47%20)
XY ≈ 32.5 mm
Step 2: find the area using the formula, ½*XY*WY*sin(Y).
Area = ½*32.5*24*sin(70)
Area = ½*32.5*24*0.94
= 32.5*12*0.94
Area = 366.6 mm² (nearest tenth)
Answer:
D) (4,5)
Step-by-step explanation:
the ordered pair (4, 5) is the only one that, when substituted into each inequality statement, made both of them true