Answer:
∠BPZ and ∠APZ
Step-by-step explanation:
These two angles share a common side and their non common side lies on a straight line.
Find how much 3% of $5000 is. Then multiply the 3% by five and add it to 5000. I hope that didn’t sound confusing.
I think the correct answers from the choices listed above are the first and the fourth option. The statements that are true about a reflection would be that it is an isometry and the it flips a plane about a fixed line. <span>A </span>reflection<span> over a line k (notation rk) is a transformation in which each point of the original figure (pre-image) has an image that is the same distance from line k.</span>
Answer:
Step-by-step explanation:
23x-12-4x+5x
24x-12 combine the 23x-4x+5x to get 24x
19-14+3x+12x
15x+5 19-14=5 3x+12x=15x
6x+19-14x+9
-8x+28 -14x+6x= -8x 19+9=28
Smaller Angle: 49 degrees
Bigger Angle: 131 degrees
Note that supplementary angles add up to be 180 degrees. Knowing this and the information provided in the question, we can use the following system of equations:
x + y = 180 (showing they both add up to 180)
x + 82 = y (to show one angle is 82 more than the other)
We can use the substitution method to solve. Since the second equation ends in "= y" we can substitute the value of it into y for the first equation.
x + y = 180; x + 82 = y ==> x + (x + 82) = 180
And now, solve for x:
x + (x + 82) = 180
x + x + 82 = 180 > combine like terms
2x + 82 = 180
2x = 98
x = 49
So now we have the value for one of the angles! Remembering that the other angle is 82 degrees bigger, dd 49 + 82, which equals 131.
So, our two angle values are 131 and 49! This is correct since both angle measures add up to be 180, which also makes them supplementary!
