<span>This is pretty easy, the answer is 124</span>
The answer is A = 2x² + 6x - 20
The area of the rectangle is:
A = l * w
l = x + 5
w = 2x - 4
A = (x + 5)(2x - 4)
Use the distributive property to calculate this:
A = (x + 5)(2x - 4)
A = x * 2x + x * (-4) + 5 * 2x + 5 * (-4)
A = 2x² - 4x + 10x - 20
A = 2x² + 6x - 20
Problem 1
<h3>Answers:</h3><h3>angle 6 = 50</h3><h3>angle 7 = 50</h3><h3>angle 8 = 40</h3>
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Work Shown:
point E = intersection point of diagonals.
x = measure of angle 6
y = measure of angle 8
angle 7 is also x because triangle AED is isosceles (AE = ED)
Focus on triangle AED, the three angles A, E, D add to 180
A+E+D = 180
x+80+x = 180
2x+80 = 180
2x = 180-80
2x = 100
x = 100/2
x = 50
So both angles 6 and 7 are 50 degrees.
Turn to angle 8. This is adjacent to angle 7. The two angles form a 90 degree angle at point A. This is because a rectangle has 4 right angles.
(angle7)+(angle8) = 90
50+y = 90
y = 90-50
y = 40
angle 8 = 40 degrees
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Problem 2
<h3>Answers:</h3><h3>angle 2 = 61</h3><h3>angle 3 = 61</h3>
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Work Shown:
Angle 5 is 29 degrees (given). So is angle 4 because these are the base angles of isosceles triangle DEC (segment DE = segment EC)
angle 3 and angle 4 form a 90 degree angle
x = measure of angle 3
(angle 3)+(angle 4) = 90
x+29 = 90
x = 90-29
x = 61
Angle 2 is congruent to angle 3 since triangle BEC is isosceles (BE = EC), so both angle 2 and angle 3 are 61 degrees each.
Answer:
37.70
Step-by-step explanation:
radius=6 so diameter=12 and circumference is diameter x pi so 12pi = 37.69911184...
Answer:
Hand sanitizer=135 bottles
Bar soap=83 bottles
Step-by-step explanation:
Let x represent the hand sanitizer and y the sop.
-Our problem can be expressed as:
#Make x the subject in i then substitute in ii to solve;
Hence, 135 bottles of hand sanitizer and 83 bottles of bar soap were sold.
