Line - math word problems - page 22 of 29
Number of problems found: 574
- Intersection of the altitudes
In the acute triangle KLM, the angle KLM is 68°. Point V is the intersection of the altitudes, and P is the foot of the altitude on the side LM. The angle P V M axis is parallel to the side KM. Compare the sizes of angles MKL and LMK.
- MO Z9–I–2 - 2017
VO is a longer base in the VODY trapezoid, and the diagonal intersection K divides the VD line in a 3:2 ratio. The area of the KOV triangle is 13.5 cm². Find the area of the entire trapezoid.
- Points on line segment
Points P and Q belong to segment AB. If AB=a, AP = 2PQ = 2QB, find the distance between point A and the midpoint of segment QB.
- Rhombus construction
Construct ABCD rhombus if its diagonal AC=9 cm and side AB = 6 cm. Inscribe a circle in it, touching all sides.
- Right angled triangle 2
LMN is a right-angled triangle with vertices at L(1,3), M(3,5), and N(6,n). Given angle LMN is 90° find n
- Line segment
Cut a line segment of 15 cm into two line segments so that their lengths are in a ratio of 2:1. What length will each have?
- Quadrilateral 5277
Given a regular quadrilateral pyramid ABCDV, point M is inside its edge AV, and point N is on the long line DC beyond point C. Construct the intersection of the plane MNV with the plane BCV and the intersection of the line MN and the plane BCV.
- Lines
How many lines can be drawn with 8 points if three points lie on one line and the other any three points do not lie on the same line?
- Intersect 5216
At how many points do ten lines intersect if no two are parallel?
- Parcel 4
Send a parcel by messenger within city limits costs 60 cents for the first pound and 48 cents for each additional pound. What is the cost, in cents, of sending a parcel weighing p=4 pounds?
- Rhombus MATH
Construct a rhombus M A T H with diagonal MT=4cm, angle MAT=120°
- Calculate the pool
Calculate how many square meters are needed to line the pool 6 meters long, 4 meters wide, and 1.5 meters deep. Add 10% to waste.
- Equations 5070
Solve in RxRxR a system of 3 linear equations with three unknowns: 1/2 x + 3/4 y = 6z 2x-z = 10 1/2 2z + x = 2y + 7 note: / is a fraction line
- Construct 5029
Try to construct the MNP triangle. p = 6cm, n = 5cm, Vp = 4cm Answer the measured side length m
- Rhombus EFGH
Construct the rhombus EFGH where e = 6.7cm, height to side h: vh = 5cm
- Simultaneously 5010
Construct the circles k1 (S1;r1) and k2(S2;r2), if S1 S2 = 7 cm, d1= 12 cm and r2 = 1/2 r1. Mark the point: a) A lying on circle k1, b) B lying in both circles determined by circles k1 and k2, c) C lying simultaneously on both circles, d) D, for which: (S
- Linear function
What is the equation of linear function passing through points: a) A (0,3), B (3,0) b) C (-2,-6), D (3,4)
- Distribution 4907
A continuous random variable X is specified: distribution function, specify the parameters a; b so that the function F (x) is continuous and was the distribution function of the random variable X and express f(x). P (X
- Sides of the triangle
The sides of the triangle ABC have a length of 4 cm, 5 cm, and 7 cm. Construct triangle A'B'C', similar to triangle ABC, which has a circumference of 12 cm.
- Distance 4869
Two places have a distance of 4 cm on a map with a scale of 1:75 000. What is their distance on a 1:50,000 scale map?
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