9514 1404 393
Answer:
Step-by-step explanation:
The angles of a linear pair are supplementary. That is, they total 180°. The angle marked x° and the one marked 72° are a linear pair:
x° +72° = 180°
x = 180 -72 = 108 . . . . . . . divide by °, subtract 72
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Vertical angles are congruent. Angles y° and 72° are vertical angles, so ...
y = 72
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Angles z° and 72° together make a right, which has a measure of 90°.
z° +72° = 90°
z = 90 -72 = 18 . . . . . . . divide by °, subtract 72
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(x, y, z) = (108, 72, 18)
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<em>Additional comment</em>
Angles 72° and x° form a linear pair, as do angles x° and y°. That is, angles 72° and y° are both supplementary to angle x°. Angles that are supplementary to the same angle are congruent. This will be the case for any vertical angles: they are supplementary to the same angle.
<h2>
Answer: ( 2 , -2 )</h2>
Step-by-step explanation:
Mid-point = [ ((x₁ + x₂) ÷ 2) , ((y₁ + y₂) ÷ 2) ]
= [ (6 + (-2)) ÷ 2] , [(1 + (-5)) ÷ 2]
= ( 2 , -2 )
There are 2000 pounds in one ton, so to find the amount of pounds in a set amount of tons, all we need to do is multiply the amount of tons by the amount of pounds in one ton.
12 * 2000 = 24000
There are 24,000 lbs in 12 tons.
Hope that helped! =)
Answer:
539
Step-by-step explanation:
The data downloaded in s seconds will be 94s (megabytes). Since 69 MB were already downloaded, the total is ...
m = 94s +69
When s=5, this is ...
m = 94(5) +69 = 470 +69
m = 539
Answer:
Rectangles
Step-by-step explanation: