daniel1480
14.10.2019 •
Mathematics
1. a quadrilateral has vertices (5, 3) (5,-1) (-1,3) and (-1,-1). what special quadrilateral is formed by connecting the midpoints of the sides?
a. rectangle
b. rhombus
c. kite
d. trapezoid
2. what type of quadrilateral is formed by connecting the points (0,9) (3,6) (0,1) and (-3,6)?
a. rhombus
b. trapezoid
c. kite
d. quadrilateral
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Ответ:
1. Kite,
2. Kite.
Step-by-step explanation:
1. The quadrilateral form will have 2 equal pairs of adjacent sides which is a kite.
2. Find the slope and length of the sides:-
slopes (9-6)/ 0-3) = -1
(6-1) / (3-0) = 5/3
(6-1) / (-3-0) = -5/3
(9-6)/(3) = 1
Lengths = sqrt(9 + 9) = sqrt18
sqrt(25 + 9) = sqrt34
sqrt (25 + 9) = sqrt34
sqrt (9 + 9) = sqrt18.
This is another kite.
Ответ:
The distance Ted will run in 285 minutes is 60 km
Step-by-step explanation:
The information in the question states as follows;
The distance Ted can run in 95 minutes = 20 km
Therefore, from the equation of speed, we have;
Speed = Distance covered ÷ Time taken
Ted speed, s = 20 km/(95 minutes) = 4/19 = 0.21 km/minute
Therefore, the distance, d Ted will cover in 285 minutes is given as follows;
d = Speed × Time = 0.21 km/minute × 285 minutes = 60 kilometres
The distance Ted will run in 285 minutes = 60 kilometres.