Equation :
[x(x+4)]/2=6 (as (b*h)/2=A)
x*x + 4*x -12 = 0
so, x = 2 units(as -6 is negative)
[x(x+4)]/2=6 (as (b*h)/2=A)
x*x + 4*x -12 = 0
so, x = 2 units(as -6 is negative)
Solve the equation
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1 answer:
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By applying the theorem of intersecting secants, the measure of angle XYZ is equal to: A. 35°.
<h3>How to determine angle <XYZ?</h3>By critically observing the geometric shapes shown in the image attached below, we can deduce that they obey the theorem of intersecting secants.
<h3>What is the theorem of intersecting secants?</h3>The theorem of intersecting secants states that when two (2) lines intersect outside a circle, the measure of the angle formed by these lines is equal to one-half (½) of the difference of the two (2) arcs it intercepts.
By applying the theorem of intersecting secants, angle XYZ will be given by this formula:
<XYZ = ½ × (m<WZ - m<XZ)
Substituting the given parameters into the formula, we have;
<XYZ = ½ × (175 - 105)
<XYZ = ½ × 70
<XYZ = 35°.
By applying the theorem of intersecting secants, we can infer and logically deduce that the measure of angle XYZ is equal to 35°.
Read more on intersecting secants here: brainly.com/question/1626547
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Answer:
$1170
Step-by-step explanation:
Let the sells for economy seats be =x
Let the sells for deluxe seats be=y
The inequalities that can be obtained are;
x≥1 --------------------at least 1 economy seats
y≥6 --------------------at least 6 deluxe seats
x+y=30-----------------maximum number of passengers allowed on each boat
Graph the inequalities
Use the graph tool to locate the point of maximum profit.The intersecting point for the three graphs
The point is (24,6)
Hence, x=24 and y=6
Profit for each
Economy seats 24×$40=$960
Deluxe seats 6×$35=$210
Maximum profit for one tour
$960+$210=$1170
