Answer:


Step-by-step explanation:

( Being vertically opposite angles)
Vertically opposite angles are always equal.
Move variable to L.H.S and change it's sign
Similarly, Move constant to R.H.S and change it's sign
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Collect like terms
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Subtract 18 from 50
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Divide both sides of the equation by 2
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Calculate
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The value of x is 16
Now, let's find value of m<AFD :
( sum of angle in straight line )
plug the value of x
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Multiply the numbers
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Add the numbers
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Move constant to R.H.S and change it's sign
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Subtract 98 from 180
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Value of m<AFD = 82
Hope I helped!
Best regards!!
Answer:
2412 mm³
Step-by-step explanation:
In the figure attached, the composite figure is shown.
Dimension of top rectangular prism:
Volume of top rectangular prism: length*width*height = 13*12*12 = 1872 mm³
Dimension of bottom rectangular prism:
Volume of bottom rectangular prism: length*width*height = 15*12*3 = 540 mm³
Volume of the composite figure: 1872 + 540 = 2412 mm³
Make sure you go ahead and plot your point on the graph that you are using dilation means the graph got smaller then the original graph so starting from your original point your going to rotate it on the graph to your new point which is 1/2
Answer:
1) D
2) D
Step-by-step explanation:
1. Use 360 - x˚ - y˚ - 117˚ - 62˚
2. Recognize that 1) can be either 62 or 63
3. Plug either number into x to get y
4. y = 118 when x = 63