5. A gym charges a membership fee plus an additional fee per spin class. The table below shows the
linear relationship between the number of spin classes taken and the total cost including the
membership fee.
Number of Spin Classes
Total Cost
$83.50
$93
$102.50
$121.50
$150
Which statement is true?
©
©
©
©
The additional fee per
spin class is $4.75
The additional fee per
spin class is $750
The membership fee is
$45
The membership fee is
$65

When turned about its axis of rotation, which shape could have created this three-dimensional object?

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)

Gabrielle's age is two times mikhail's age. the sum of their ages is 84. what is mikhail's age?