Answer:
366.6 mm²
Step-by-step explanation:
Step 1: find XY using the Law of sines.
Thus,
m < W = 180 - (70+43) (sum of angles in a triangle)
W = 180 - 113 = 67°
WY = 24 mm
X = 43°
XY = ?
Cross multiply:
Divide both sides by 0.68 to solve for XY
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:
When you rotate the regular pentagon \begin{align*}72^\circ\end{align*} about its center, it will look exactly the same. This is because the regular pentagon has rotation symmetry, and \begin{align*}72^\circ\end{align*} is the minimum number of degrees you can rotate the pentagon in order to carry it onto itself.
Step-by-step explanation:
Answer:
5. A.
6. F
Step-by-step explanation:
5. Perpendicular lines have slopes that are negative reciprocals of one another, so slope is 3
y = 3x + b
using coordinates (-6,3)
3 = 3(-6) + b
b = 21
y = 3x + 21
6. I think F is the right answer
Answer:
B
Step-by-step explanation:
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The larger number is 30.
Set up your equation.
x + y = 25
The question tells us one number is 5 less than the other.
The equation now becomes
x -5 = 25
Add 5 to each side to isolate x.
x=30