Answer:
Oranges: 3/2
Apples: 1 4/5
Blueberries: 3/4
Peaches: 2
Step-by-step explanation:
1 1/2 or 3/2 because there is 4 more than 8 which is a half.
So all of the internal angles of a triangle will add up to 180 degrees. So if we add all of the expressions given and set them equal to 180, we can solve for x, then solve for each angle...
(2x + 1) + (3x - 3) + 9x = 180
2x + 3x + 9x + 1 - 3 = 180
14x - 2 = 180
14x = 182
x = 13
Now we can substitute 13 into each expression to find the value of each angle...
2x + 1 =
2(13) + 1 =
26 + 1 = 27 degrees
3x - 3 =
3(13) - 3 =
39 - 3 = 36 degrees
9x =
9(13) = 117 degrees
So the 3 angles are 27 degrees, 36 degrees, and 117 degrees.
The smallest is 27 degrees
** Note-- I don't see 27 degrees in the answer choices you gave, so I double checked my math (I didn't find any mistakes). Please check to see that the question is written correctly (pay close attention to plus and minus signs).
<h3>
Answer: B) the function g(x) has a larger slope</h3>
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Explanation:
The slope of f(x) is 4, since the equation y = 4x+2 has slope m = 4. Compare this to y = mx+b.
The slope of g(x) is 5. Note how if we started at (0,-2) on the red line and moved up 5 and to the right 1, we arrive at (1,3) which is another point on the red line. You could use the slope formula
m = (y2-y1)/(x2-x1)
to get the same result.
Since the slope of f(x) is 4 and the slope of g(x) is 5, we see that g(x) has a larger slope. The g(x) line is steeper compared to f(x).
Answer:
5 or 6 (or 2 or 7)
Step-by-step explanation:
Any quadrilateral can be covered by 2 triangles, so the integer number in 7/3 = 2 1/3 quadrilaerals will require 2×2 = 4 triangles.
The meaning of (1/3) trapezoid determines the number of additional triangles required. If 1/3 trapezoid is a triangle, only one is needed. If 1/3 trapezoid is a quadrilateral, then 2 triangles are needed.
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If the 7/3 trapezoids are butted against each other so they make a larger quadrilateral figure, then only 2 triangles are needed.
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If each trapezoid is constructed from 3 equilateral triangles, and you want to know the total number of those equilateral triangles in 7/3 such figures, it will be 3 × 7/3 = 7.
The answer depends on problem details not provided here.
