∠PXS = (180 - 106) ÷ 2 // isosceles triangle
∠PXS = 37°
∠XQR = 180 - 106 //parallelogram
∠XQR = 74°
∠RXQ = 74° //Isosceles triangle
∠SXR = 180 - 37 - 74 // Adjacent angles on a straight line
∠SXR = 69°
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Answer: ∠SXR = 69°
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I’m from the U.K. and prefer using the pound sign, so just change it back to dollars.
Last Week: £30 + £20 = £50
This week
Babysitting sister = £20 (x4) = £80
Pet sitting for 2 days = £30
Total this week: £110
Monthly total: £110 + £50 = £160
Answer is: £160
X-2y = 3
-2y=3-x move the x over to the other side
-y=3/2 -1/2x divide both sides by 2
y=1/2x - 3/2 divide both sides by -1
The image of vertex L after the triangle is rotated 180 degrees about the origin= (-2, -1).
Option B.
First let's stae the the original location of the figure on the graph.
From the graph:
L (2, 1)
W(1, -3)
O (-1, -2)
A rotation of 180 degrees about the origin will change the x and y axis of each location to the opposite of those numbers;
Positive numbers becomes negative and negative numbers becomes positive.
The new location for L = L'
L' = (-2, -1)
The new location for W = W'
W' = (-1, 3)
The new location for O = O'
O' = (1, 2)
Hence, the image of vertex L after the triangle is rotated 180 degrees about the origin= (-2, -1).
Option B.