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3 years ago

The answer to the question above and it’s not 75

Mathematics

2 answers:

madreJ [45]3 years ago

6 0

Answer:

The 2 triangles on the right and left are isosceles, so they have 2 equal sides. Consequently, the angles at the base are equal.

Because the opposite angles of a vertix are equal, the triangle in the lower part has the angles x, 58° and 47°.

Because the sum of the inner angles of a triangle is 180, x= 180- (58+47)

x= 180-105 = 75°

Pls mark as brainliest

GrogVix [38]3 years ago

5 0

Answer: x = 72

Step-by-step explanation:

The triangle with ∠a is an isosceles triangle; the other two angles are congruent, let them be y

a + y + y = 180 (sum of angles in triangles)

58 + 2y = 180

Subtract 58 from both sides

2y = 122

Divide both sides by 2

y = 61°

In the triangle with ∠b, b is congruent to another angle, (isosceles triangle) let it be b.

b = 47°

y and b have a relationship with the other two of the angles with ∠x (vertical angles); let them be y and b.

y + b + x = 180

61 + 47 + x = 180

108 + x = 180

Subtract both sides by 108

x = 72

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4 years ago

Janine is considering buying a water filter and a reusable water bottle rather than buying bottled water. Will doing so save her

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The cost of each option is given by the total amount required to obtain

the volume of water Janine drinks in a year.

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The cheapest option is the faucet-mounted water filter

The cheapest option saves her $79.11 over a year

<h3>How are the different options evaluated?</h3>

Number of bottles of water Janine drinks in a day = 3 bottles

Volume of a bottle = 16.9 ounces

Volume of water Janine drinks in a year = 3 × 16.9 × 365 = 18505.5

Volume of water Janine drinks in a year = 18,505.5 ounces

Volume of water = 18,505.5 ounces = 547.273 liters

The cost of 24-packs of 16.9 ounces bottles = $3.29

Number of packs she will buy in a year is therefore;

$Number \ of \ packs= \dfrac{3 \times 365}{24} = \mathbf{45.625}$

Cost per year = 45.625 × $3.29 ≈ $150.11

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Cost of each option to filter 547.723 liters of water.

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Therefore;

The cheapest option over one year is the faucet-mounted filter

The amount saved over one year = $150.11 - $71.0 = $79.11

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