We have a case of two parallel lines with a transversal intersecting these lines. To find the m∠G, we are going the use the Alternate Exterior Angles Theorem, stating that two angles who lie on opposite sides of the transversal, not located in the interior, are congruent.
Therefore, the m∠G = 34°
Hope this helps! :^)
Answer:
slope: 5
y-intercept: 3
therefore y=5x+3
Step-by-step explanation:
the slope is the value that is changing; as time passes the price increases by $5 per hour
the y-intercept is where the function crosses the y-axis (when x is 0); so when no time has passed.
Answer:
4x +3y = 7; 1 ≤ x ≤ 9; 1 ≤ y ≤ 9
(x, y) = (1, 1)
Step-by-step explanation:
If you simply add the numbers, you have ...
(x+y) +(3x+2y) +8 +9 = 24
This simplifies to ...
4x +3y = 7
Perhaps the other "equations" in the "system of equations" are the constraint inequalities ...
The smallest possible value of both x and y is 1, which would satisfy this equation:
4·1 + 3·1 = 7
Using the expression (x+y) +(3x+2y) +8 +9 = 24, suitable values for x and y are 1 and 1.
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We have written one equation, which in this context only has one solution for the two variables. It seems likely that we need to know more about the game card in order to write a system of equations.
