Equation + angle - practice problems
Number of problems found: 146
- The number 10
The number of sides of two regular polygons differ by 1 the sum of the interior angles of the polygons is in the ratio of 3:2 calculate the number of sides of each polygon. - EE school boarding
Three vectors, A, B, and C, are related as follows: A/C = 2 at 120 deg, A + B = -5 + j15, C = conjugate of B. Find C. - Three angles
The three angles of a triangle are (3x-2)°, (4x+5)°, and (2x-3)°, then find the angles. - Three 235
Three houses form a triangular shape. House A is 50 feet from house C and house B is 60 feet from house C. The measure is angle ABC is 80 degrees. Draw a picture and find the distance between A and B.
- Angles - triangle
Find the measure of the angles of the triangle ABC if: the measure of angle A is the measure of angle C and the measure of angle B =½ of the measure of angle C. - For triangle
For triangle XYZ, ∠X = (6g + 14)° and the exterior angle to ∠X measures (5g + 45)°. Find the measure of ∠X and its exterior angle. - Determine 83240
In triangle ABC, the internal angle beta is twice the size of the angle alpha, and the angle gamma is 20 degrees less than the size of the angle beta. Determine the size of all interior angles of this triangle. - Hypotenuses 83154
In a right-angled triangle ABC with a right angle at the vertex C, the magnitudes of the hypotenuses are given ta=5, tb=2√10. Calculate the side sizes of triangle ABC and the circle's radius described by this triangle. - Calculate 82472
Calculate the interior angles of the triangle. The angle alpha is 16° greater than beta, and the angle gamma is 17° less than alpha.
- Determine 82143
Determine the size of the interior angles in an isosceles triangle if you know that the angle opposite the base is 15° greater than the angles at the base. - X-coordinate 81737
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. - Coefficient 81704
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. - Intersection 81594
Given a trapezoid ABCD and the sizes of the interior angles. Angle SDC 32° SAD angle 33° SDA angle 77° Angle CBS 29°, where S is the intersection of the diagonals. What is the size of the angle BSA? - Determine 81572
In one triangle, one angle is 43°, and the second is 15° less than the third. Determine the unknown angles of the triangle.
- Quadrilateral 81544
In the general quadrilateral ABCD, angle β is 9° greater than angle α, angle γ is 24° greater than angle α, and angle δ is 50° greater than angle β. Determine the sizes of individual angles. - Complementary 81152
In a certain polygon, the ratio of the sum of the sizes of its internal angles and the sum of the sizes of the complementary angles is 2:5. How many vertices does this polygon have? - Quadrilateral 81137
In a quadrilateral, angle α is twice as large as angle β. Angle γ is 80% of angle α, and angle δ is 30° greater than angle α. Determine the angles of this quadrilateral. - Circle's 81078
The chord of a circle is 233 long, and the length of the circular arc above the chord is 235. What is the circle's radius, and what is the central angle of the circular arc? - Right-angled 80745
The area of a right-angled triangle KLM with a right angle at the vertex L is 60 mm square, and its hypotenuse k is 10 mm long. Triangles KLM and RST are similar. The similarity ratio is k=2.5. Calculate the area of triangle RST.
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