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lbvjy [14]
3 years ago
10

ABCD is a quadrilateral inscribed in a circle, as shown below:

Mathematics
1 answer:
german3 years ago
3 0

Answer:

  • A. (x + 16) + (6x − 4) = 180

Step-by-step explanation:

Inscribed quadrilateral has opposite angles supplementary.

<u>So</u>

  • m∠A + m∠C = 180°

or

  • m∠B + m∠D = 180°.

<u>Since</u>

  • m∠A = x + 16,
  • m∠B = x,
  • m∠C = 6x - 4,
  • m∠D = 2x + 16

we can use either pair of angle measures to work out the value of x and then find the value of each angle.

<u>We can verify the first option is the only correct one.</u>

  • m∠A + m∠C = 180°
  • (x + 16) + (6x − 4) = 180
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Step-by-step explanation:

https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-ratio-proportion/cc-7th-equations-of-proportional-relationships/v/equations-of-proportional-relationships#:~:text=Learn%20how%20to%20write%20a,called%20%22constant%20of%20proportionality%22.

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3 years ago
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PLEASE ANSWER ASAP: Miriam bought 64 pounds of popcorn she kept 1/4 for her family then gave 1/8 of the remainder to her club an
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Answer:

84 ounces

Step-by-step explanation:

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A truck can be rented from Company A for ​$70 a day plus ​$0.50 per mile. Company B charges ​$20 a day plus ​$0.60 per mile to r
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Answer:

The rental cost for Company A and Company B will be the same after 500 miles

Step-by-step explanation:

The total cost of renting a truck from Company A can be expressed as;

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where;

Cost per day=70

Total rate=rate per mile×number of miles (m)=(0.5×m)=0.5 m

replacing;

Total rental cost(Company A)=70+0.5 m...equation 1

2. The total cost of renting a truck from Company B can be expressed as;

Total rental cost(Company B)=Cost per day+Total rate

where;

Cost per day=20

Total rate=rate per mile×number of miles (m)=(0.6×m)=0.6 m

replacing;

Total rental cost(Company B)=20+0.6 m...equation 2

Equating equation 1 to equation 2

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The rental cost for Company A and Company B will be the same after 500 miles

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