Answer: 11/12
Step-by-step explanation:
First find the LCM of 4 and 3(12). Then make the denominator of both fractions 12(3/12 and 8/12). Then add the fractions to get that they ate 11/2 of the lasagna.
Hope it helps <3
Answer:
x = 8.69
Step-by-step explanation:
we know that the perimeter of the dodecagon is 54, so each edge will be 54/12
54/12 = 4.5 cm
if we draw the lines to remove 6 vertices and form a hexagon, 6 triangles with 2 sides of 4.5 cm are formed.
we know that the angle of each vertex is 150 ° because it is a dodecagon
if we apply the law of cosines we can take the other side of the triangle, since we only need 2 side and the opposite angle to the side we want to know
a would be our x
b = 4.5
c = 4.5
A = 150°
a^2 = b^2 + c^2 - 2bc * cos (A)
x^2 = 4.5^2 + 4.5^2 - 2 * 4.5 * 4.5 * cos (150)
x^2 = 20.25 + 20.25 - 40.50 * -0.866
x^2 = 40.50 + 35.07
x = √ 75.57
x = 8.69
<h3>
Answer: Choice D) </h3>
y + 2 = -(x - 4)
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Explanation:
The slope of this line is -1 because each time we move down 2 units, we move to the right 2 units. So slope = rise/run = -2/2 = -1
The slope formula says the same thing more or less. Let's pick the two points (0,2) and (2,0) to find the slope through them
m = (y2-y1)/(x2 - x1)
m = (0-2)/(2-0)
m = -2/2
m = -1
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Using that slope and a point on the line, we can form the equation. We can pick any point really as long as it's on the line. However, to have it match with the answer choices, we'll have to pick the point (4,-2)
Turn to point slope form
y - y1 = m(x - x1)
y - y1 = -1(x - x1) ... plug in the slope
y - (-2) = -(x - 4) ... plug in the point (x1,y1) = (4, -2)
y + 2 = -(x - 4)
