Through the midpoint of each side of a triangle,a line is drawn parallel to the bisector...

Through the midpoint of each side of a triangle,a line is drawn parallel to the bisector of the opposite angle. Prove that these three lines are concurrent and that the point of concurrency is collinear with the centroid and the incenter of the triangel. (hint :use dilation)

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For triangle ABC, the lines: - through A, parallel to BC; - through B, parallel to...

For triangle ABC, the lines: - through A, parallel to BC; - through B, parallel to AC; - through C, parallel to AB intersect to form a triangle. Prove that the triangle is similar to triangle ABC.

If a vertical line is drawn through a normal distribution at each of the following z-score...

If a vertical line is drawn through a normal distribution at each of the following z-score locations, then determine whether the tail is on the left side or the right side of the line and determine what proportion of the distribution is located in the tail. a. z = +1.00 b. z = +0.50 c. z = -1.50 d. z = -2.00

Give a vector parametric equation for the line that passes through the point (2,0,5), parallel to...

Give a vector parametric equation for the line that passes through the point (2,0,5), parallel to the line parametrized by 〈t−3,t−3,−3−3t〉: Find the simplest vector parametric expression r⃗ (t) for the line that passes through the points P=(0,0,−1) at time t = 1 and Q=(0,−4,−1) at time t = 5 Need help with Calculus III

A triangle has side lengths of 3cm, 4cm, and, 6cm. Is it a right triangle explain?

The drawing shows an equilateral triangle, each side of which has a length of 3.99 cm....

The drawing shows an equilateral triangle, each side of which has a length of 3.99 cm. Point charges are fixed to each corner, as shown. The 4.00 C charge experiences a net force due to the charges qA and qB. This net force points vertically downward and has a magnitude of 305 N. Determine (a) charge qA, (b) charge qB.

Find the height of equilateral triangle if side is = 10in

Suppose that an oblique triangle has side a = 12 ft, side b = 31 ft...

Suppose that an oblique triangle has side a = 12 ft, side b = 31 ft and angle ? = 20.5°. Find all possible values for angle C (round your answer to the nearest hundredth position). A. 94.72° B. 94.72° ?? 44.28° C. 64.78° ?? 115.22° D. 23.92 E. none of these

1.) Write a slope-intercept equation for a line passing through the point (5,−3) that is parallel...

1.) Write a slope-intercept equation for a line passing through the point (5,−3) that is parallel to the line 5x+7y=8. Then write a second equation for a line passing through the point (5,−3) that is perpendicular to the line 5x+7y=8. 2.) Write a slope-intercept equation for a line passing through the point (4,−3) that is parallel to the line 4x+5y=7. Then write a second equation for a line passing through the point (4,−3) that is perpendicular to the line 4x+5y=7....

The metal equilateral triangle in the figure, 20 cm on each side, is halfway into a 0.1 T magnetic field.

The metal equilateral triangle in the figure, 20 cm on each side, is halfway into a 0.1 T magnetic field. A) What is the magnetic flux through the triangle? B) If the magnetic field strength decreases, what is the direction of the induced current in the triangle?

A parallel-plate capacitor has square plates that are 8.20 cm on each side and 4.80 mm...

A parallel-plate capacitor has square plates that are 8.20 cm on each side and 4.80 mm apart. The space between the plates is completely filled with two square slabs of dielectric, each 8.20 cm on a side and 2.40 mm thick. One slab is Pyrex glass and the other slab is polystyrene. If the potential difference between the plates is 88.0 V, find how much electrical energy (in nJ) can be stored in this capacitor.

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