Look at the figure shown below: P
25
S
12
Patricia is writing statements as shown below to prove that if segment ST is parallel to segment RQ, then x = 35:
Statement
Reason
1. Segment ST is parallel to segment QR. Given
2. Angle QRT is congruent to angle STP. Corresponding angles formed by parallel lines and their transversal are congruent.
3. Angle SPT is congruent to angle QPR. Reflexive property of angles
4. Triangle SPT is similar to triangle QPR. Angle-Angle Similarity Postulate
5.
Corresponding sides of similar triangles are in proportion

Josephine has a great garden with and area of 2x2 + x - 6 square feet

The equation of a circle is (x - 3)2 + (y - 7)2 = 25. determine the length of the radius. 4 25 12.5 5 write the standard equation of the circle with center (2, 3) and a diameter of 12. (x - 2)2 + (y - 3)2 = 36 (x + 2)2 + (y + 3)2 = 12 (x - 2)2 + (y - 3)2 = 6 (x - 3)2 + (y - 2)2 = 36 the equation of a circle is (x + 3)2 + (y + 7)2 = 25. where is (3, 4) located in relation to the circle? on the circle in the interior of the circle in the exterior of the circle at the center of the circle

The accompanying table shows the numbers of male and female students in a particular country who received bachelor's degrees in business in a recent year. complete parts (a) and (b) below. business degrees nonbusiness degrees total male 189131 634650 823781 female 169539 885329 1054868 total 358670 1519979 1878649 (a) find the probability that a randomly selected student is male, given that the student received a business degree. the probability that a randomly selected student is male, given that the student received a business degree, is nothing. (round to three decimal places as needed.) (b) find the probability that a randomly selected student received a business degree, given that the student is female. the probability that a randomly selected student received a business degree, given that the student is female, is nothing. (round to three decimal places as needed.)