Complete the proofs using the most appropriate method. Some may require CPCTC: 7. Given: KN≅ML, KN || LM Prove: ΔKLN≅ΔMNL *there is five steps*
8. Given: ΔPQR and ΔTSR are right triangles, R is the midpoint of PT, PQ≅TS Prove:
ΔPQR≅ΔTSR *there is five steps*
9. Given: AC bisects 10. Given: WV || YZ, X is the midpoint of VY Prove: PLEASE I NEED IT TODAY

Find the arc length parameter along the given curve from the point where tequals=0 by evaluating the integral s(t)equals=integral from 0 to t startabsolutevalue bold v left parenthesis tau right parenthesis endabsolutevalue d tau∫0tv(τ) dτ. then find the length of the indicated portion of the curve r(t)equals=1010cosine tcost iplus+1010sine tsint jplus+88t k, where 0less than or equals≤tless than or equals≤startfraction pi over 3 endfraction π 3.

David is spreading mulch on a triangular area of his flower bed. the coordinates of the vertices of the area are (1, 3), (9, 3), and (4, 6). what is the area of the triangle if each square has an area of 3 square feet?

Astudent draws two parabolas on graph paper. both parabolas cross the x-axis at (-4, 0) and (6,0). the y-intercept of thefirst parabola is (0, –12). the y-intercept of the second parabola is (0-24). what is the positive difference between the avalues for the two functions that describe the parabolas? write your answer as a decimal rounded to the nearest tenth.