The Saxena family plans to install a light to illuminate part of their rectangular yard. Nikki and Dylan each proposed a different spot to place the light. The proposed placements and the lit area that each produces are shown below. Nikki's proposed placemat has a triangular light area with a base of 60 feet and height of 38 feet. Dylan's proposed placemat has a base of 60 feet and a height of 38 feet. How do Nikki’s and Dylan’s proposals compare? Check all that apply. Nikki’s proposed placement will light a greater area than Dylan’s placement. Dylan’s proposed placement will light a greater area than Nikki’s placement. Both proposed placements will light the same sized area. Nikki’s proposed placement will light more than half the yard. Dylan’s proposed placement will light more than half the yard. Dylan’s proposed placement will light exactly half of the yard. Nikki’s proposed placement will light less than half of the yard.

In δabc shown below, ∠bac is congruent to ∠bca: triangle abc, where angles a and c are congruent given: base ∠bac and ∠acb are congruent. prove: δabc is an isosceles triangle. when completed (fill in the blanks), the following paragraph proves that line segment ab is congruent to line segment bc making δabc an isosceles triangle. (4 points) construct a perpendicular bisector from point b to line segment ac . label the point of intersection between this perpendicular bisector and line segment ac as point d: m∠bda and m∠bdc is 90° by the definition of a perpendicular bisector. ∠bda is congruent to ∠bdc by the definition of congruent angles. line segment ad is congruent to line segment dc by by the definition of a perpendicular bisector. δbad is congruent to δbcd by the line segment ab is congruent to line segment bc because consequently, δabc is isosceles by definition of an isosceles triangle. 1. corresponding parts of congruent triangles are congruent (cpctc) 2. the definition of a perpendicular bisector 1. the definition of a perpendicular bisector 2. the definition of congruent angles 1. the definition of congruent angles 2. the definition of a perpendicular bisector 1. angle-side-angle (asa) postulate 2. corresponding parts of congruent triangles are congruent (cpctc)

Which of the following is an example of a rational number? a. π b. √ 9 c. √ 8 d. 3.8362319

Urgent question in mathematics. solve this to get 15 points[tex] {2}^{100} - {2}^{99} - {2}^{98} {2}^{2} - {2}^{1} - {2}^{0}[/tex]a) 0 b) 1 c) 2 d) 2^50