Line - practice problems - page 5 of 30
Number of problems found: 600
- Line segments
Triangle ABC is divided by line segments. Lines DE and AB are parallel. Two lines are drawn from vertex C. The first line intersects points H and F on segments DE and AB. The second line intersects points I and G on segments DE and AB. Triangles CDH, CHI, - Hare 2024m
A hare participated in a race 2024 metres long. From the starting line he pushed off with his left foot and throughout the race he regularly alternated left, right, and both feet. When the hare pushed off with his left foot, he jumped 35 dm, when he pushe - Crane load path
The crane lifts the load in a uniform, straight line to a height of 8 m and simultaneously moves in a horizontal direction to a distance of 6 m. What path did the load cover? What was the resulting velocity of the load if it took 50 seconds to move it - Fraction halfway number
Which number is halfway between a quarter of a fifth and a half of a third on the number line? - Parabola focus equation
Determine the equation of the parabola that has the point F = [3,2] as its focus and the line x+y+1=0 as its shift line. - Triangle height line
In the right triangle KLM, the hypotenuse l = 9 cm and the perpendicular k = 6 cm. Calculate the size of the height vl and the line tk. - Segment ratio reduction I will reduce a segment of length 16 cm in the ratio 7:8, what will its length be in cm?
- Circle equation points
Determine the equation of the circle that passes through the point M(-1,2) and N( 3,0) and whose center lies on the line p: x=-3+t, y=-1+t, - Hypotenuse - construct problem A line segment AA1 of length 6 cm is given. Construct all triangles ABC for which AA1 is the hypotenuse, side length BC is 5 cm, and angle gamma is 60°.
- Segment ratio reduction
If I reduce a segment of length 72 cm in a ratio of 5:8, it will have a length of x cm. Calculate x. - Segment ratio reduction If I reduce a segment of length 72 cm in a ratio of 5:8, how many cm will it be?
- Snowman column shadow
Near the lamppost, the children built a 1.65 m tall snowman. The snowman's shadow is 135 cm long. The shadow of the lamppost is 4.05 m. How tall is the lamppost? - Line parametric equation
Convert the parametric expression of the straight line to a general equation. x=3-5t y=-4+10t - Closest point
On the line p: 2x + y + 1 = 0, find the point A ∈ p that is closest to the point P =(1,0) - Rhombus construction sides
Construct a rhombus that has a side length of 5 cm and a height of 4.5 cm. Outline: Analysis: Construction: Method: - Classroom plan width
The classroom is 6.8 m wide. Determine its width on a 1:50 scale plan. - Triangle point coordinates In triangle ABC, determine the coordinates of point B if you know that points A and B lie on the line 3x-y-5=0, points A and C lie on line 2x+3y+4=0, point C lies on the x-coordinate axis, and the angle at vertex C is right.
- Line coefficient determination
In the equation of the line p: ax-2y+1=0, determine the coefficient a so that the line p: a) it formed an angle of 120° with the positive direction of the x-axis, b) passed through point A[3,-2], c) was parallel to the x-axis, d) had a direction of k = 4. - Heptagon triangle probability
We randomly select three different points from the vertices of a regular heptagon and connect them with line segments. The probability that the resulting triangle will be isosceles is equal to: (A) 1/3 (B) 2/5 (C) 3/5 (D) 4/7 - Triangle height intersection
Given a triangle ABC: A (-1,3), B(2,-2), C(-4,-3). Determine the coordinates of the intersection of the heights and the coordinates of the intersection of the axes of the sides.
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