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lbvjy [14]
2 years ago
6

I) Consider the following figure, ​ ​ ​

Mathematics
1 answer:
qwelly [4]2 years ago
4 0

Step-by-step explanation:

If PQRS is a quadrilateral inscribed in a circle, then the opposite angles of the quadrilateral are <u>supplementary</u><u>.</u>

y + 68° = 180° { being opposite angles of cyclic quadrilateral }

y = 180° - 68°

y = 112°

x + 82° = 180° { being opposite angles of cyclic quadrilateral }

x = 180° - 82°

x = 98°

Hope it will help :)❤

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What is the value of x in the triangle?
Ksivusya [100]

Answer:

X = 102

Step-by-step explanation:

41 + 37 + x = 180

78 + x = 180

X = 180 - 78 = 102

7 0
2 years ago
1. Solve and verify each of the following systems of linear equations.
kakasveta [241]
5x - 2y = -6 ⇒ 10x - 4y = -12
2x - 1y =  1 ⇒ <u>10x - 5y =    5</u>
                                  y = -17
                   5x - 2(-17) = -6
                       5x + 34 = -6
                       <u>      - 34 - 34</u>
                               <u>5x</u> = <u>-40</u>
                                5       5
                                 x = -8
                           (x, y) = (-8, -17)

2x + 3y = 432 ⇒ 10x + 15y = 2160
5x + 2y =   16 ⇒ <u>10x +   4y =     32</u>
                                     <u>11y</u> = <u>2128</u>
                                      11       11
                                         y = 193.4545455
          2x + 3(193.4545455) = 432
              2x + 580.3636364 = 432
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                                       <u>2x</u> = <u>-148.3636364</u>
                                        2                2
                                         x = -74.1818182
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6 0
3 years ago
Read 2 more answers
At the beginning of the week Fayez writes drown the mileage of his limousine - 2529 At the end of the week the mileage is 2834,
Alexandra [31]
2834 - 2529 = 305 miles traveled
75.2 / 4.64 = 16.4 gallons used
305 / 16.4 = 18.5 miles per gallon
The limo did not use 1 gallon every 20 miles.
The limo used 1 gallon every 18.5 miles
4 0
3 years ago
A group of 4 friends went to lunch and spent a total of $40, which included the $34 food bill and the tip. They decided to split
Ber [7]

The amount each friend paid for food is $8. 50 for the food and $1. 50 for the tip.

<h3>What is division?</h3>

The division is one of the most basic mathematical operators. It is used when a number is to be distributed equally in n number of parts.

As it is given that the total of 4 friends went to the lunch, the total amount paid by them is $40, but the food bill was just $34, therefore, the rest of the amount was paid in the tip. If we calculate the tip,

Tip = Total spent - Food bill

Tip = $40 - $34

Tip = $6

Now, as it is that the total amount spend by all on the food is $34, and it is to be divided among the four friends, therefore, the amount paid by each of the friends is,

\text{Total amount to be paid by each friend}=\dfrac{\text{Total amount spent by all on food}}{\text{Number of friends}}\\\\\text{Total amount to be paid by each friend}=\dfrac{\$34}{4}\\\\\text{Total amount to be paid by each friend}=\$8.5

Further, the total amount tip by all is $6, and it is to be divided among the four friends, therefore, the amount paid by each of the friends is,

\text{Total amount to be paid by each friend}=\dfrac{\text{Total Tip}}{\text{Number of friends}}\\\\\text{Total amount to be paid by each friend}=\dfrac{\$6}{4}\\\\\text{Total amount to be paid by each friend}=\$1.5

Hence, the amount each friend paid for food is $8. 50 for the food and $1.50 for the tip.

Learn more about Division:

brainly.com/question/369266

8 0
2 years ago
Find the product. Estimate to check if the answer is reasonable.
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Hope that helps!!
Have a wonderful day!!
5 0
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