By definition of supplementary angles,
∠ABD + ∠BDE = 180
5x + 17x - 18 = 180
22x = 198
x = 9
∠ABD = 5(9) = 45°
∠BDE = 180 - 45 = 135°
Answer: 28 dots
Step-by-step explanation: In this pattern,
we can see the the first figure is just 1 dot.
The second figure has a new row on the bottom with 2 dots.
The third figure has a new row on the bottom with 3 dots
and the fourth figure has a new row on the bottom with 4 dots.
So continuing with this pattern,
the next figure will have a new row with 5 dots,
the next will have a new row with 6 dots,
and the next will have a new row with 7 dots.
So in the 7th picture, we will have 7 + 6 + 5 + 4 + 3 + 2 + 1 dots.
This simplifies to 28 dots.
Take a look below.
I don’t know what the options are but I think it is 95 because 120-25 = 95
Answer:
The term 2lw is independent of the height
Step-by-step explanation:
This formula is usually obtained reasoning like this: the rectangular prism has 6 faces, thus the surface area is the sum of the areas of these faces.
2 faces are l×w rectangles, so their area is lw+lw=2lw. Note that we are not using the height to compute the area, then this is the independent term.
The 4 remaining rectangles involve the height as one of their dimensions, so their areas (2hw+2lh) depend on the height.
Answer:

Step-by-step explanation:
Angles on a straight line add up to 180 degrees.
We can create an equation.
x + 165 = 180
Solve for x.
Subtract 165 from both sides.
x + 165 - 165 = 180 - 165
Simplify the equation.
x = 15