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2 years ago

2. Please answer attached Parallel Lines with Multiple Transversal

Mathematics

1 answer:

Zielflug [23.3K]2 years ago

5 0

Answer:

Step-by-step explanation:

( x )° + 60° + ( x - 20 )° = 180°

x + 60 + x - 20 = 180

2x + 40 = 180

2x = 140

x = 70

m ( ∠A ) = 70°

m ( ∠B ) = 50°

m ( ∠C ) = 60°

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Answer:

∠3 = 22°

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Step-by-step explanation:

86 + 72 = 158

180 - 158 = 22

∠3 ≅∠4 they're verticle angles

22+ 70 = 92

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3 years ago

Your family is installing a new square pool in the backyard. The existing patio has a side length of 8 feet. How much of the pat

trasher [3.6K]

The question is an illustration of perimeters.

The amount of patio to remove to install the pool is 8 feet.

From the question, we have:

$\mathbf{Length\ of\ the\ pool = 8}$

$\mathbf{Length\ of\ walkway = 1}$

The perimeter of the patio is:

$\mathbf{P_p = 4 \times Length\ of\ the\ pool}$

$\mathbf{P_p = 4 \times 8}$

$\mathbf{P_p = 32}$

A 1ft walkway means that;

1ft would be subtracted from both sides of the patio before installing the pool

So, the perimeter of the patio in terms of the length of the pool is:

$\mathbf{P_p = 4 \times (x +2)}$

Equate both expressions

$\mathbf{P_p = P_p}$

$\mathbf{4 \times (x +2) = 32}$

Divide both sides by 4

$\mathbf{x +2 = 8}$

Subtract 2 from both sides

$\mathbf{x = 6}$

So, the perimeter of the pool is:

$\mathbf{P_{pool} = 4 \times 6}$

$\mathbf{P_{pool} = 24}$

The amount of patio to remove is:

$\mathbf{Amount = P_p - P_{pool}}$

So, we have:

$\mathbf{Amount = 32 - 24}$

$\mathbf{Amount = 8}$

Hence, 8ft of the patio would be removed to install the pool

See attachment for illustration