{"id":"cb_question_bank:84122363-e5b6-464c-a789-05363f3f1e60","source_id":"cb_question_bank","source_item_id":"84122363-e5b6-464c-a789-05363f3f1e60","external_id":null,"ibn":"070631-DC","question_id":"eeb4143c","program":"SAT","module":"math","domain_code":"S","domain":"Geometry and Trigonometry","skill_code":"S.B.","skill":"Lines, angles, and triangles","difficulty":"H","score_band":7,"answer_type":"spr","answer_source":"rationale","layout_warning":null,"form_id":null,"module_number":null,"position":null,"stem":"The area of triangle ABC above is at least 48 but no more than 60. If y is an integer, what is one possible value of x ?","stimulus":"The figure presents right triangle A B C, where angle C is a right angle. Side A C is horizontal, such that vertex A is to the left of vertex C, and vertex B is directly above vertex C. A vertical line segment is drawn from a point on side A B to a point on side A C and divides side A C into two segments. The length of the segment between vertex A and the vertical line segment is labeled 5 and the length of the segment between the vertical line segment and vertex C is labeled 7. The vertical line segment is labeled x. Side B C is labeled y. A note states the figure is not drawn to scale.","stimulus_html":"
\n
\n \"The
\n
\n","stem_html":"

The area of triangle ABC above is at least 48 but no more than 60. If y is an integer, what is one possible value of x ?

\n","rationale_html":"

The correct answer is either \"the, \"the, or \"the. The area of triangle ABC can be expressed as \"one or \"6. It’s given that the area of triangle ABC is at least 48 but no more than 60. It follows that \"48. Dividing by 6 to isolate y in this compound inequality yields \"8. Since y is an integer, \"y. In the given figure, the two right triangles shown are similar because they have two pairs of congruent angles: their respective right angles and angle A. Therefore, the following proportion is true: \"the. Substituting 8 for y in the proportion results in \"the. Cross multiplying and solving for x yields \"the. Substituting 9 for y in the proportion results in \"the. Cross multiplying and solving for x yields \"the. Substituting 10 for y in the proportion results in \"the. Cross multiplying and solving for x yields \"the. Note that 10/3, 15/4, 25/6, 3.333, 3.75, 4.166, and 4.167 are examples of ways to enter a correct answer.

\n","correct_answer":["10/3","15/4","25/6"],"has_media":true,"has_mathml":false,"has_table":false,"source_created_at":"2023-08-02T20:25:59.632000+00:00","source_updated_at":"2023-08-02T20:25:59.632000+00:00","options":[],"attribution":{"source_id":"cb_question_bank","source_name":"College Board digital SAT question bank (community dump)","rights_holder":"College Board","canonical_url":"https://satsuitequestionbank.collegeboard.org/","retrieved_from":"https://raw.githubusercontent.com/mdn522/sat-question-bank/main/data/cb-digital-questions.json","attribution":"SAT practice questions © College Board, from the official SAT Suite Question Bank. Retrieved via the community dump at github.com/mdn522/sat-question-bank.","disclaimer":"SAT® and PSAT/NMSQT® are trademarks registered by the College Board, which is not affiliated with, does not sponsor, and does not endorse this project.","license":"College Board copyright; source repository carries no licence. Local use only.","redistributable":false,"item_count":2017}}