4 500-60 = 4 440
4 440/38 = 116.8
At most they would be able to invite 116 people to the reception with their budget.
Answer:
The values of x which would give an area of 240m² would be:

Step-by-step explanation:
Given
The base of triangle b = 2x+1
The height of triangle h = 6x-3
The Area of the triangle A = 240 m²
The Area of the triangle has the formula
A = 1/2 × b × h
substituting b = 2x+1, h = 6x-3 and A = 240



Subtract 480 from both sides




Using the zero factor principle
if ab=0, then a=0 or b=0 (or both a=0 and b=0)

solving


Divide both sides by 2


also solving


Divide both sides by 2


Therefore, the values of x which would give an area of 240m² would be:

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A qualitative prediction is made by using senses and educated guesses, unlike quantitative observations which use scientific methods. For example, you take a rock and examine it. One qualitative observation of this rock is it is smooth and gray. A quantitative observation is it is two pounds.
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Answer:
47 degrees
Step-by-step explanation:
You have a straight line, which has an angle measure of 180 degrees.
180-133=47
Your answer can come from the line with 133 on it because the two lines are parallel with a transversal line. Because the two lines are parallel, they have the same interior angle measurements.