En una encuesta aplicada a 90 personas sobre dos de las fobias más comunes (claustrofobia: miedo a los espacios cerrados y acrofobia: miedo a las alturas), se obtuvo que 45 personas sufrían de claustrofobia, 50 de acrofobia, 35 no sufrían de ninguna de las dos fobias y otras cuantas sufrían de las dos fobias simultáneamente. Realice el correspondiente diagrama de Venn-Euler y responda, ¿Cuántos encuestados sufren de las dos fobias simultáneamente?

Identify the converse of the following conditional: if a point is in the first quadrant, then its coordinates are positive. if the coordinates of a point are not positive, then the point is not in the first quadrant. if the coordinates of a point are positive, then the point is in the first quadrant. if a point is in the first quadrant, then its coordinates are positive. if a point is not in the first quadrant, then the coordinates of the point are not positive.

Eric has challenged himself to walk 24,000 steps in 4 days. if eric walks the same number of steps each day, which function represents the number of steps eric still needs to walk to reach his goal with respect to the number of days since he started his challenge? a. y = 8,000x − 24,000 b. y = -8,000x + 24,000 c. y = 6,000x − 24,000 d. y = -6,000x + 24,000

Look at the figure below: triangle abc is a right triangle with angle abc equal to 90 degrees. the length of ac is 5 units and the length of ab is 4 units. d is a point above c. triangle adc is a right triangle with angle dac equal to 90 degrees and dc parallel to ab. what is the length, in units, of segment cd?