Answer:
As applied to a polygon, a diagonal is a line segment joining any two non-consecutive vertices. Therefore, a quadrilateral has two diagonals, joining opposite pairs of vertices. For any convex polygon, all the diagonals are inside the polygon, but for re-entrant polygons, some diagonals are outside of the polygon.
Step-by-step explanation:
<em>*Remember that A = angle and S = side.</em>
So remember that <u>similar figures have congruent angles and proportional sides.</u> Looking at triangles ABC and DEF, they both share 85° and 30° angles. <u>With this, the two triangles are similar by AA, or the first option.</u>
Answer:
A = 5x³ + 17x² - 35x - 30
Step-by-step explanation:
the shaded area (A) is calculated as
A = outer area - inner area
= (5x + 3)(x² + 4x - 10) - 3x(2x - 1) ← distribute parenthesis
= 5x³ + 20x² - 50x + 3x² + 12x - 30 - (6x² - 3x)
= 5x³ + 23x² - 38x - 30 - 6x² + 3x ← collect like terms
= 5x³ + 17x² - 35x - 30
Answer:
Category Relative Frequency
male survivors 17.3%
males who died 63.7 %
Female survivors 15.1 %
Females who died 3.8%
Step-by-step explanation:
- The relative frequency is the proportion of the number of times the event occurs to the total number of trials.
Given : Total people on ship = 2274
Number of male survivors = 394
⇒ Relative Frequency of male survivors =
In percent , 
Number of males who died =1449
⇒ Relative Frequency of male who died =
In percent , 
Number of female survivors =344
⇒ Relative Frequency of female survivors =
In percent , 
Number of females who died = 87
⇒ Relative Frequency of females who died =
In percent , 
Hence, the complete table would be :
Category Relative Frequency
male survivors 17.3%
males who died 63.7 %
Female survivors 15.1 %
Females who died 3.8%