Given: ΔDFE is isosceles with base FE; FB ≅ EC. Prove: ΔDFB ≅ ΔDEC

Triangle D F E is shown. 2 lines drawn down from point D to points C and B on the base of the triangle to form 3 triangles.
Complete the missing parts of the paragraph proof.

We know that triangle DFE is isosceles with base FE and that segment FB is congruent to segment EC because
. Segment DF is congruent to segment
by the definition of isosceles triangle. Since these segments are congruent, the base angles, angles
, are congruent by the isosceles triangle theorem. Therefore, triangles
are congruent by SAS.

The sat and act tests use very different grading scales. the sat math scores follow a normal distribution with mean 518 and standard deviation of 118. the act math scores follow a normal distribution with mean 20.7 and standard deviation of 5. suppose regan scores a 754 on the math portion of the sat. how much would her sister veronica need to score on the math portion of the act to meet or beat regan's score?

I've been working on this for a few days and i just don't understand, it's due in a few hours. you. the direction of a vector is defined as the angle of the vector in relation to a horizontal line. as a standard, this angle is measured counterclockwise from the positive x-axis. the direction or angle of v in the diagram is α. part a: how can you use trigonometric ratios to calculate the direction α of a general vector v = < x, y> similar to the diagram? part b suppose that vector v lies in quadrant ii, quadrant iii, or quadrant iv. how can you use trigonometric ratios to calculate the direction (i.e., angle) of the vector in each of these quadrants with respect to the positive x-axis? the angle between the vector and the positive x-axis will be greater than 90 degrees in each case. part c now try a numerical problem. what is the direction of the vector w = < -1, 6 > ?

3c2 + 2d)(–5c2 + d) select all of the partial products for the multiplication problem above.