Answer: C) ASA = ASA
Refer to the diagram below. I've used color coding to match up the given statements with the drawing. Note how the red segments are between the blue and green angles. So we use ASA to prove the triangles are congruent.
Let x represent lower level tickets that cost $77
Let y represent upper level tickets that cost $99
Cost equation: 77x + 99y = 247,071
Tickets equation: x + y = 2615
Using the elimination method, multiply the second equation by -77:
77x + 99y = 247,071
-77x - 77y = -201,355
--> 22y = 45,716
--> y = 2,078
Now plug "y" into either equation and solve for "x". I chose the Tickets equation. x + y = 2615 → x = 2615 - y → x = 2615 - 2078 → x = 537
Answer: lower level = 537 tickets, upper level = 2078 tickets.
Answer:
mee I'm in 8th
Step-by-step explanation:
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Answer:
Using the Angle Addition Postulate, 20 + m∠DBC = 80. So, m∠DBC = 60° using the subtraction property of equality.
Step-by-step explanation:
If point D is the interior of angle ABC, then the angle addition postulate theory states that the sum of angle ABD and angle DBC is equals to angle ABC. The angle addition postulate is used to measure the resulting angle from two angles placed side by side.
From the attached image, ∠ABD and ∠DBC are placed side by side to form ∠ABC. Given that m∠ABD = 20° and m∠ABC = 80°
Hence, using angle addition postulate:
m∠ABD + m∠DBC = m∠ABC
20 + m∠DBC = 80
subtracting 20 from both sides (subtraction property of equality)
m∠DBC = 80 - 20
m∠DBC = 60°
Answer:
The graph is wider and is reflected across the x axis.
Step-by-step explanation:
See attached image.