The two lines with arrows are parallel, which means angles A and B are supplementary.
So we have
A + B = 180º
(6<em>x</em> - 35)º + (3<em>x</em> + 53)º = 180º
(9<em>x</em> + 18)º = 180º
(9<em>x</em>)º = 162º
<em>x</em> = 18
This means angle A has measure
A = (6<em>x</em> - 35)º = 73º
Here, we have to find the number of guests who can attend their weeding without exceeding the set budget of $10,000
Since the catering fee of $150 is waived, we do not consider this figure in our analysis
There is a constant which is the venue costs of $2,000 and a variable cost of $80 per guest for the reception.
Let us assume "X" guests arrive for the reception, so we can form the equation as shown below:
80X + 2,000 = 10,000 (Since the total budget for the wedding is $10,000)
80X = 8000
8X = 800
X =100
Therefore, Selena and Ronald can invite 100 guests for the wedding without going over their budget
12y = 132
Now, solve for y.
Do the inverse operation.
12y = 132
12y/12 = 132/12
y= 132/12
y= 11
Equation: 12y = 132
Y equals: 11
Five laps? I don’t know if you meant to put that the track is a mile around, but if the track is a half mile around, an athlete would have to run 10 laps around the track to run 5 miles.
X=5/y, so x would be how many laps the athletes run, and y would be the length of the track. Hope this helps
Answer:your welcome
Step-by-step explanation: