Match the reasons with the statements in the proof to prove overline PT < overline PR given that PT Is perpendicular to Glven: overline PT perp mathfrak R Prove: overline PT < overline PR P m angle T>m angle R Given The measure of a right angle is greater than the measure of an acute angle. Perpendicular lines form right angles. If two angles of a triangle are not equal, then the side opposite the larger angle is longer than the side opposite the smaller angle. Tis a right angle angle T; overline PT perp overline RT; overline PT < overline PR

Answer: d. 39 cmin the diagram, the approximate length of the minor arc de is 39 centimetres.step-by-step explanation: the formula for the length of an arc in a circle is as displayed below.let the length of the minor arc de = xx = 2( pi )r × angle of sector / 360°from this, we will substitute the values given from the problem into the formula to obtain the length of the minor arc de.x = 2( pi )r × angle of sector / 360°r = radius = 25cmpi as an approximate value = 3.14angle of sector = 120°x = 2( 3.14 )( 25 ) × 120° / 360°x = 157 × 1 / 4x = 39.25x = 39 ( rounded to the nearest whole number as an approximate value )