on the map, seattle, portland, and boise form a triangle whose sides are shown in the figure below. if the actual distance from seattle to boise is 400 miles, find the distance from seattle to portland.

provide your answer below:

Question

on the map, seattle, portland, and boise form a triangle whose sides are shown in the figure below. if the actual distance from seattle to boise is 400 miles, find the distance from seattle to portland.

provide your answer below:

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "blank_filling_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [], "new_concepts": [ "Scale Drawings", "Proportional Reasoning" ], "current_concepts": [ "Scale Drawings", "Proportional Reasoning", "Ratios and Proportions" ] } ## Set up the proportion using map distances and actual distances $$ \frac{\text{Actual Distance (Seattle to Portland)}}{\text{Map Distance (Seattle to Portland)}} = \frac{\text{Actual Distance (Seattle to Boise)}}{\text{Map Distance (Seattle to Boise)}} $$ ## Substitute the given values and solve for the unknown distance $$ \begin{aligned} \frac{x}{1.5\text{ in}} &= \frac{400\text{ mi}}{4\text{ in}} \ x &= 1.5 \times \frac{400}{4} \ x &= 1.5 \times 100 \ x &= 150 \end{aligned} $$ On the map, Seattle, Portland, and Boise form a triangle whose sides are shown in the figure below. If the actual distance from Seattle to Boise is 400 miles, find the distance from Seattle to Portland. Provide your answer below: 150 mi { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Geometry", "Scale Drawings" ] }

Sovi.AI - AI Math Tutor

QUESTION IMAGE

Question

Explanation:

Set up the proportion using map distances and actual distances

Substitute the given values and solve for the unknown distance

Answer: