Answer:
The answer to your question is x = 14.7
Step-by-step explanation:
Data
∠A = 20°
∠B = 46
a = 7
b = x
Process
To solve this problem use, the law of sines. This law states that the ratio of a side of a triangle to the sine of the opposite angle is the same for all three sides.
The law of sines for this problem is
x / sin 46 = 7 / sin 20
-Solve for x
x = 7 sin 46 / sin 20
-Simplification
x = 7 (0.719) / 0.342
x = 5.035/0.342
-Result
x = 14.7
Answer:
(0,8)
Step-by-step explanation:
D is the answer because all you have to do is solve
Answer:
Yes, the given parallelogram is a rectangle.
Step-by-step explanation:
The vertices of parallelogram are J(-5,0), K(1,4), L(3,1) and M(-3,-3).
The slope formula is
![m=\frac{y_2-y_1}{x_2-x_1}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7By_2-y_1%7D%7Bx_2-x_1%7D)
![JK=\frac{4-0}{1-(-5)}=\frac{4}{6}=\frac{2}{3}](https://tex.z-dn.net/?f=JK%3D%5Cfrac%7B4-0%7D%7B1-%28-5%29%7D%3D%5Cfrac%7B4%7D%7B6%7D%3D%5Cfrac%7B2%7D%7B3%7D)
![KL=\frac{1-4}{3-1}=\frac{-3}{2}](https://tex.z-dn.net/?f=KL%3D%5Cfrac%7B1-4%7D%7B3-1%7D%3D%5Cfrac%7B-3%7D%7B2%7D)
![LM=\frac{-3-1}{-3-3}=\frac{-4}{-6}=\frac{2}{3}](https://tex.z-dn.net/?f=LM%3D%5Cfrac%7B-3-1%7D%7B-3-3%7D%3D%5Cfrac%7B-4%7D%7B-6%7D%3D%5Cfrac%7B2%7D%7B3%7D)
![JM=\frac{-3-0}{-3-(-5)}=\frac{-3}{2}](https://tex.z-dn.net/?f=JM%3D%5Cfrac%7B-3-0%7D%7B-3-%28-5%29%7D%3D%5Cfrac%7B-3%7D%7B2%7D)
The slopes of opposites sides are same it means they are parallel to each other.
The product of slopes of two consecutive sides is
![\frac{2}{3}\times \frac{-3}{2}=-1](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B3%7D%5Ctimes%20%5Cfrac%7B-3%7D%7B2%7D%3D-1)
Since the product of slopes of two consecutive sides is -1, therefore the consecutive sides are perpendicular to each other.
Yes, the given parallelogram is a rectangle.
Answer:
a cone
Step-by-step explanation:
a cone would be formed due to the point on the graph forming a triangle, and when a triangle is spun around an axis on one of its sides it will form a cone