Answer:
A ≈ 269.81 cm²
Step-by-step explanation:
This shape is a hexagon (it has 6 sides) so let's use the formula for the area of a hexagon.
A = 
Where s is the length of the sides
Substitute:
A = 
A = 
Solve:
A = 
A = 
Multiply the numerator:
A = 
A ≈ 
(The numerator reflects a rounded number, but the actual calculations are exact)
Divide the fraction:
A ≈ 
A ≈ 2.6(100)
Multiply:
A ≈ 2.6(100)
A ≈ 269.81 cm²
Therefore, the area is approximately 269.82 cubic centimeters.
Answer:
The options 2,3 and 5 are correct.
Step-by-step explanation:
From the figure it is noticed that the points U,V and W are midpoint of JK,KL and JL respectively.
Midpoints theorem of triangle states that the line connecting the midpoints of two sides is parallel to third side and its length is half of the third side.
The points U and W are midpoint of JK and JL. Using midpoint theorem, we get


The points U and V are midpoint of JK and KL. Using midpoint theorem, we get


The points V and W are midpoint of KL and JL. Using midpoint theorem, we get



Therefore options 2, 3 and 5 are correct.
Answer:
B.
Step-by-step explanation:
A parameter is a summary measure computed to describe a characteristic of the population and it involves the measurement of all in the population numerically/quantitatively. e.g Average of all the values measured in the population
A statistic is a measurement based on sample observations.
Examples of statistics constructed from a random sample : [ 
(a) max
(b) Average of the observed values
(c) Range = max - min
Answer:
( -6, 1 ) is the coordinate of N.
1. 3t + 2b = 16....multiply by -3
5t + 3b = 25...multiply by 2
----------------
-9t - 6b = -48 (result of multiplying by -3)
10t + 6b = 50 (result of multiplying by 2)
---------------- add
t = 2
3t + 2b = 16
3(2) + 2b = 16
2b = 10
b = 5
so tacos (t) cost $ 2 and burritos (b) cost $ 5
===================
d + q = 75......d = 75 - q
0.10d + 0.25q = 10.95
0.10(75 - q) + 0.25q = 10.95
7.50 - 0.10q + 0.25q = 10.95
0.15q = 3.45
q = 23....so there are 23 quarters
=====================
x = 2 point shots, y = 3 point shots
x + y = 24.....multiply by -2
2x + 3y = 54
----------------
-2x - 2y = -48 (result of multiplying by -2)
2x + 3y = 54
----------------add
y = 6.......so there was 6 three point shots
x + y = 24
x + 6 = 24
x = 18......and 18 two point shots
======================
5.50g + 5 = 2.50g + 17
5.50g - 2.50g = 17 - 5
3g = 12
g = 4......they will cost the same with 4 game rentals
less then 4 rentals, use Fun Guys....more then 4, use Game Bank
=======================
(2,5)(4,9)
slope = (9 - 5) / (4 - 2) = 4/2 = 2
y = mx + b
slope(m) = 2
(2,5)...x = 2 and y = 5
now sub and find b, the y int
5 = 2(2) + b
5 = 4 + b
5 - 4 = b
1 = b
so ur equation is : y = 2x + 1 (line A)
(0,5)(3,8)
slope = (8 - 5) / (3 - 0) = 3/3 = 1
y = mx + b
slope(m) = 1
(0,5)...x = 0 and y = 5
now sub
5 = 1(0) + b
5 = b
so ur equation is : y = x + 5 (line B)
y = 2x + 1
y = x + 5
2x + 1 = x + 5
2x - x = 5 - 1
x = 4
y = 2x + 1
y = 2(4) + 1
y = 8 + 1
y = 9
so they will meet at (4,9)
=====================
sorry..not 100% sure about the bonus