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r-ruslan [8.4K]
3 years ago
11

I need help with his math maze please

Mathematics
1 answer:
Aneli [31]3 years ago
8 0

With these transversals across parallel lines the angles are either congruent or supplementary (adding to 180) and its pretty easy to figure out which is which, obtuse verse acute in the figure.

Each yellow circle indicates x and the path to the next square.  So for example the Start has alternate interior angles, which are congruent, so x is 141 degrees.

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Susan has a rectangular fence around her swimming pool. The fence she built was 15 ft long, 10 ft wide and 6ft tall. How many sq
Dmitriy789 [7]

Answer:

300 Square feet

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Susan built a rectangular fence around her swimming pool.

Length=15ft

Width(or Breadth)=10ft

Height=6ft

To solve this, picture a cuboid with the top and bottom open, that is the key to finding the Surface Area of the Fence.

Surface Area of a Cuboid= 2(LW+LH+WH)

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3 years ago
Find the total area the regular pyramid.
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Answer: 14\sqrt{3}

Step-by-step explanation:

1. You must apply the following formula for calculate  the total surface area the regular pyramid:

SA=\frac{pl}{2}+B

Where p is the perimeter of the base, l is the slant height and B is the area of the base.

2. The perimeter is, where s is the side length:

p=3s=3*4=12

3. The faces are isosceles traingles. So, to find the slant height you can divide one base into two equal right triangles and calculate the slant height with Pythagorean Theorem:

l=\sqrt{4^2-2^2}=2\sqrt{3}

4. The base is equal to any face, then both have equal areas. As previously you divide one base into two equal righ triangle to find the slant height, you can calcualte the area of one right triangle and multply it by 2 to calculate B:

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Finally substitute values:

SA=\frac{12*2\sqrt{3}}{2}+2\sqrt{3}=14\sqrt{3}

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