Answer: XVR: 125 ; RVS: 55 ; WVS: 125 ; RST: 110 ; RSV: 70
Step-by-step explanation:
XVR: XVR is equal to WVS (alternate angles), and WVS plus XVW equals 180° (definition of a straight line)
So, 180° - 55° = 125° (this is the measure of SVW, but remember, SVW is equal to XVR)
RVS: RVS is equal to XVW since they're alternate angles, so we know that RVS is equal to 55°
WVS: We already solved this in the beginning
RST: First, we need to find the measure of RSV. To find the measure of RSV, use the fact that a triangle adds up to 180°. We know that the angle RVS equals 55°, and that angle VRS is also equal to 55°. So, we can use this equation:
RSV = 180° - (55° + 55°)
RSV = 70°
Now that we know RSV = 70°, we can find RST
180 - (RSV + RST)
180 - (70° + RST)
RST = 110°
RSV: We already found this
Sorry, that was a lot. Hope it wasn't too confusing.
Answer:
18 children
Step-by-step explanation:
Given
<em>Required (missing part of the question):</em>
<em>Number of children that will be able to go to the zoo if 8 adult tickets are purchased</em>
<em>The graph is missing. However, the question can be solved without the graph.</em>
<em />
From the question and equation, we can deduce the following:
- x represents adults
- y represents children
So, when 8 adult tickets were sold.
This means
Substitute 8 for x in
Subtract 96 from both sides
Solve for y
<em>This means that 18 children will be able to go</em>
Answer:
8.
Denote the equation : y = ax + b
Use the first 2 values of x and y in table:
3a + b = 21
5a + b = 35
Subtract the 2 equations:
=> 2a = 14 => a = 7 => b = 21 - 3 x 7 = 0
=> The solution is y = 7x
9.
Denote the equation : y = ax + b
Use the first 2 values of x and y in table:
5a + b = 17
10a + b = 22
Subtract the 2 equations:
=> 5a = 5 => a = 1 => b = 17 - 5 x 1 = 17 - 5 = 12
=> The solution is y = x + 12
Hope this helps!
:)
Answer:
y-intercept: (0, -3)
x-intercept: (5, 0)
Step-by-step explanation:
Trick question! The problem gives you the x and y intercepts. x intercept is when y is 0, and y intercept is when x = 0!
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