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2 years ago

The three angles of a triangle measure x+37, 90, and x+67. Find the measurement of the smallest angle in degrees.

Mathematics

2 answers:

Kisachek [45]2 years ago

7 0

Step-by-step explanation:

so the smallest angle is angle A which is 30 degree

Gelneren [198K]2 years ago

3 0

Answer:

The smallest angle in the triangle is 30°

Step-by-step explanation:

You can solve this by including the fact that the sum of the angles in the triangle has to be 180 degrees. We're given values describing the angles, so we can simply add them together, say the equal 180, and solve for x:

$(x + 37) + 90 + (x + 67) = 180\\2x + 37 + 90 + 67 = 180\\2x + 194 = 180\\2x = 180 - 194\\2x = -14\\x = -7$

The smallest angle then is x + 37, or 37 - 7, giving us 30°

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2 years ago

Last year, the average American used 167 disposable water bottles (16.9 oz or 0.132 gallons). If the cost of 1 gallon of tap wat

Mrrafil [7]

Answer:

The money that could be saved by drinking tap water is $165.46.

Step-by-step explanation:

Given:

Cost of 1 bottle of water = $1.00

Number of bottles consumed = 167

Volume of water used in 1 bottle = 0.132 gallons

So, volume of water used in 167 bottles = 167 × 0.132 = 22.04 gallons

Cost of 1 gallon of tap water = 7 cents = $0.07

In order to determine the money saved using tap water, we first find the cost of 167 bottles.

Using unitary method,

1 bottle cost = $1.00

167 bottles cost = Number of bottles × Cost of 1 bottle

= 167 × $1.00 = $167.00

Now, 167 dollars is spent for consuming 22.04 gallons of water.

Now, cost of 1 gallon of tap water = $0.07

So, cost of 22.04 gallons of tap water = 22.04 × 0.07 = $1.54

Therefore, the money saved by drinking tap water is given as:

Money saved = Money spent in bottles for 22.04 gallons - Money spent in tap water for the same volume

Money saved = $167.00 - $1.54 = $165.46

Hence, the money that could be saved by drinking tap water is $165.46.

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3 years ago

Kim surveyed 80 students at her school and found that 0.65 of the students she surveyed said their favorite class is math. Anoth

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80*.65=52
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3 years ago

Jenny's parents deposit $10,000 for her college tuition in an account with a 3% simple interest rate. How long will it take to e

KiRa [710]

Ok so <span>Interest = Principle * rate * time P = 10,000 R = 3% = 0.03 T (we need to solve for t I = 3600 now we sub.. 3600 = (10,000)(0.03)(t) 3600 = 300t -- divide both sides by 300 3600/300 = t 12 = t check.. I = prt 3600 = (10000)(0.03)(12) 3600 = (300)(12) 3600 = 3600 (correct) It would take 12 years</span>

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2 years ago

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Answer:

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Step-by-step explanation:

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3 years ago