1. To find the point E on CD¯¯¯¯¯¯¯¯ such that the ratio of CE¯¯¯¯¯¯¯¯ to CD¯¯¯¯¯¯¯¯ is 34, we can set up a proportion. Since the ratio of CE to CD is 34, we can write:
CE/CD = 34/100 (since 34 is the numerator and CD is the denominator)
To find CE, we can set up the equation:
CE = (34/100) * CD
Given that point C is at -9 and point D is at 7, the length of CD is:
CD = 7 - (-9) = 7 + 9 = 16
Substituting this value into the equation, we get:
CE = (34/100) * 16 = 5.44
Therefore, the point E on CD¯¯¯¯¯¯¯¯ such that the ratio of CE¯¯¯¯¯¯¯¯ to CD¯¯¯¯¯¯¯¯ is 34 is approximately 5.44. Since this is not one of the given answer choices, none of the options are correct.
2. To determine which segment on the number line is congruent to KL, we need to find the segment that has the same length as KL. Since the lengths of the segments are not provided, it is not possible to determine which segment is congruent to KL based on the given information.
3. To find the midpoint of MG¯¯¯¯¯¯¯¯¯, we can use the midpoint formula. The coordinates of point M are (5, 1) and the coordinates of point G are (-5, 5). The midpoint formula states that the x-coordinate of the midpoint is the average of the x-coordinates of the endpoints and the y-coordinate of the midpoint is the average of the y-coordinates of the endpoints.
For the x-coordinate of the midpoint: (5 + (-5)) / 2 = 0/2 = 0
For the y-coordinate of the midpoint: (1 + 5) / 2 = 6/2 = 3
Therefore, the midpoint of MG¯¯¯¯¯¯¯¯¯ is (0, 3). The correct answer is B: I.
4. The perimeter of a rectangle is given by the formula P = 2w + 2l, where w is the width and l is the length. Given that the width is 11 inches and the length is 14 inches, we can substitute these values into the equation:
P = 2(11) + 2(14) = 22 + 28 = 50
Therefore, the perimeter of the rectangle is 50 inches.
5. The area of a triangle is given by the formula A = (1/2)bh, where b is the base and h is the height. Given that the base is 20 inches and the height is 12 inches, we can substitute these values into the equation:
A = (1/2)(20)(12) = 120
Therefore, the area of the triangle is 120 square inches.
6. The area of a circle is given by the formula A = πr^2, where r is the radius. Given that the radius is 7 inches, we can substitute this value into the equation:
A = π(7)^2 ≈ 153.94
Therefore, the area of the circle is approximately 153.94 square inches.
7. The midpoint of UV is given as (4,3), and the coordinates of one endpoint are U(11, -2). To find the coordinates of the other endpoint V, we can use the midpoint formula. The midpoint formula states that the x-coordinate of the midpoint is the average of the x-coordinates of the endpoints, and the y-coordinate of the midpoint is the average of the y-coordinates of the endpoints.
For the x-coordinate of the other endpoint V: 2 * 4 = 8, and 8 - 11 = -3
For the y-coordinate of the other endpoint V: 2 * 3 = 6, and 6 - (-2) = 8
Therefore, the coordinates of the other endpoint V are (-3, 8).
8. To find the distance from X(-9,2) to Y(5, -4), we can use the distance formula. The distance formula states that the distance between two points (x1, y1) and (x2, y2) is given by:
d = sqrt((x2 - x1)^2 + (y2 - y1)^2)
Substituting the coordinates into the formula, we get:
d = sqrt((5 - (-9))^2 + (-4 - 2)^2) = sqrt((14)^2 + (-6)^2) = sqrt(196 + 36) = sqrt(232) ≈ 15.23
Therefore, the distance from X to Y is approximately 15.23.
1 If point C is at -9 and point D is at 7, find a point E on CD¯¯¯¯¯¯¯¯
such that the ratio of CE¯¯¯¯¯¯¯¯ to CD¯¯¯¯¯¯¯¯ is 34
(1 point)
A-7
B 3
C 5
D12
2 Using the numberline, which segment is congruent to
A KL
B LN
C JM
D GO
3 Using the number line above, what is the midpoint of MG¯¯¯¯¯¯¯¯¯
?(1 point)
A J
B I
C L
D O
4 What is the perimeter of a rectangle with a width of 11 inches and a length of 14 inches?(1 point)
5 What is the area of a triangle with a base of 20 inches and a height of 12 inches?(1 point)
6 What is the area of a circle with a radius of 7 inches. round to the nearest tenth. (1 point)
7 The midpoint of UV
is (4,3). The coordinates of one endpoint are U (11, -2). Find the coordinates of the other endpoint, V. (1 point)
8 Given the points below, find the distance from X to Y. Round to the nearest hundredth.
X(-9,2) and Y(5, -4)
1 answer
1 answer