Answer:
Step-by-step explanation:
(2n+ 2)(6n+ 1)
2n+6n=8n
1+2=3
=8n+3
1. Area of the right angled ∆ = 1/2 × base × height
height = 16m
base = √20² – 16²
= √400 –256
= √144
= 12 m
Area of the unshaded portion
= 1/2 × base × height
= 1/2 × 12 × 16
= 96m²
2. Area of the rectangle = 300ft × 150ft
= 45000sq. ft
Area of the shaded portion = 100² + (1/2×b×h)
= 10000 + (1/2×120×150)
= 10000 + 9000
= 19000 sq. ft
Area of the unshaded part of the rectangle
= (45000 – 19000)sq. ft
= 26000 sq. ft
Answer:
D
Step-by-step explanation:
goodluck!
Yes it is possible to prove this is a parallelogram.
XN = NZ means the diagonal XZ has been bisected
The same goes for diagonal WY (because NY = NW)
Furthermore, we have the pair of vertical angles XNY and ZNW which are congruent
Through SAS, we can say that triangles XNY and ZNW are congruent
Using CPCTC, we can get to the fact that angle NWZ = angle NYX which are alternate interior angles leading to proving that XY || WZ
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If you repeat those steps above, but focus on triangles WNX and YNZ, we can prove that XW || YZ
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After proving that XY || WZ and XW || YZ, this is enough to prove we have a parallelogram as the opposite sides are parallel.
Solve each of the equations independently, then determine if the are continuous or discontinuous.
15≥-3x [start here]
-5≤x [divide both sides by (-3). *Dividing by a negative number means the direction of the sign changes!]
x≥-5 [just turned around for analysis]
Next equation:
2/3x≥-2 [start here]
x≥-2(3/2) [multiply both sides of the equation by the reciprocal, 3/2)
x≥-3
So, (according to the first equation) all values of x must be greater than, or equal to -5.
(According to the second equation) all values of x must be greater than, or equal to -3.
So, when graphed on a number line, both equations graph in the same direction, so they are continuous.
