Answer:
110 degrees is the largest angle
Step-by-step explanation:
The angles in a pentagon add up to 540 degrees. In general, an n-sided polygon has angles that add up to 180*(n-2) where n is the number of sides. So, we're looking for 5 consecutive numbers that add up to 540. So, the five angles are 106, 107, 108, 109, and 110.
In order to prove that this quadrilateral is a parallelogram, we need to get the opposite sides to be parallel.
The answer would be D because it shows 2 triangles to be equal. If they are equal then they must have corresponding sides.
To divide by decimals, put the decimal right where it is above it, and you just do regular dividing
Answer:
Adult: 50 tickets
Child: 34 tickets
Step-by-step explanation:
Let a be the amount of adult tickets
Let c be the amount of child tickets
Equation:
a + c = 84
14a + 9c = 1,006
Step 1: Multiply a + c = 84 with -9, to canceled c.
-9 (a + c = 84) → -9a - 9c = -756
14a + 9c = 1006 → 14a + 9c = 1006
Step 2: Combined the 2 equation together, and solved it.
-9a - 9c = -756
<u>14a + 9c = 1006</u>
<u> 5a</u> = <u>250</u>
5 5
a = 50
Step 3: Plug 50 into the one of the equation, and solved it.
a + c = 84 → 50 + c = 84
<u>-50 -50</u>
c = 34
Answer: Adult tickets (a) = 50 and Child tickets (c) = 34
To check the answer plug the two number into the equation ( Make sure to add 50 for a and 34 for c).
Answer:
Your answer would be Slope m = -3
Step-by-step explanation:
Step 1: Graph the points on a <u>coordinate plane</u>( <em>refer to image!)</em>
Whenever your trying to find a slope of 2 order pairs, remember this
m = rise/run. ( Slope = rise over run.) = Δy/Δx
Now we solve:
M = rise/run = Δy/Δx
M = y2 - y1/x2-x1
M = 5 - (-4) / -5-(-2)
<u>So we get M = 9/-3 and </u><u>9 divided by -3 is -3 </u>
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So, the slope of (-2,-4) and (-5,5) is -3.
