Answer:
w = 32
Step-by-step explanation:
Remark
The value of the exterior angle (marked w + 33) = the sum of the two angles not connected to it. w and w + 1
Equation
w + w + 1 = w + 33
Solution
2w + 1 = w + 33 Subtract w from both sides.
2w - w + 1 = 33 Combine
w + 1 = 33 Subtract 1 from both sides.
w = 33 - 1
w= 32
Answer:
Option B and D
Step-by-step explanation:
Subtract 9 from both sides :
4x² + 4x - 8 = 0
Divide both sides by 4 :
x² + x - 2 = 0
Factorise using factorisation method :
x² - x + 2x -2 = 0
x(x - 1) +2(x-1) = 0
(x+2)(x-1) = 0
Solve for x
x +2 = 0 OR x - 1 = 0
x = -2 OR x = 1
Answer will be Option B and D
Hope this helped and have a good day
Answer:
14
Step-by-step explanation:
Lateral surface area is the sum of all sides of a 3D object EXCEPT it's top and bottom bases.
<h3>
Answer: Choice D</h3>
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Explanation:
The inequality sign has an "or equal to", which means the boundary line will be solid. We can rule out choices B and C because they have dashed boundary lines.
A solid boundary line means that points on the boundary are part of the solution set.
Now let's see what happens when we plug in a point like (x,y) = (4,0). This will tell us how to shade the blue region.

This is false because -20 is not larger than -1. It's the other way around.
This tells us the point (4,0) is not in the blue shaded region, and it's not on the boundary line either. We can rule out choice A because of this.
The only thing left is choice D, which is the final answer. I recommend plugging a point from this region into the inequality to confirm we have a true statement.