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iren2701 [21]
2 years ago
6

​Quadrilateral ABCD​ is inscribed in this circle.

Mathematics
1 answer:
murzikaleks [220]2 years ago
7 0

Answer:

C = 80

Step-by-step explanation:

A cyclic quadrilateral is one where all 4 vertices touch the circumference of a circle.

It has 1 interesting property that should concern you: <B + <D = 180 degrees.

3x - 59 + 2x - 1 = 180          Combine like terms

5x - 60  = 180                     Add 60 to both sides.

5x = 180 + 60

5x = 240

x = 240/5

x = 48

Now go to 2x + 4.

x = 48

A = 2*48 + 4

A = 96 + 4

A = 100

So C = 180 - 100

C = 80

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The admission fee at an amusement park is $1.50 for children and $4 for adults. On a certain day 333 people enter the park, the
liberstina [14]

Answer:

<u>188 children</u> and <u>145 adults</u> were admitted in the park.

Step-by-step explanation:

Given:

The admission fee at an amusement park is $1.50 for children and $4 for adults.

Total $862 collected on a certain day when 333 people enter the park.

Now, to find the children and adults admitted in the park.

<u><em>Let the number of children admitted be </em></u>x.<u><em /></u>

<u><em>And the the number of adults admitted be </em></u>y.<u><em /></u>

So, the total people enter the park:

x+y=333\\\\x=333-y\ \ \ ...(1)

Thus, the total amount collected of the admission fee:

1.50(x)+4(y)=862\\\\

Substituting the value of x from equation (1):

1.50(333-y)+4(y)=862\\\\499.50-1.50y+4y=862\\\\499.50+2.50y=862\\\\Subtracting\ both\ sides\ by\ 499.50\ we\ get:\\\\2.50y=362.50\\\\Dividing\ both\ sides\ by\ 2.50\ we\ get:\\\\y=145.

<u><em>Thus, the number of adults = 145.</em></u>

Now, to get the number of children by substituting the value of y in equation (1) we get:

x=333-y\\\\x=333-145\\\\x=188.

<u><em>Hence, the number of children = 188.</em></u>

Therefore, 188 children and 145 adults were admitted in the park.

4 0
3 years ago
What is the solution of the following system of linear equations?<br> y = x - 7<br> 2y + x=1
andrew-mc [135]

Answer:

x=5

y=-2

Step-by-step explanation:

I just took this!

Hope I helped

5 0
2 years ago
Two months ago, Marty’s dog weighed 3712 pounds. The dog was put on a diet and exercise plan and now weighs 2914 pounds. How muc
deff fn [24]

Answer:

Step-by-step explanation:

3712-2914= 798 pounds

5 0
2 years ago
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Ratling [72]

Answer:

2 17/20

Step-by-step explanation:

1 7/10+1 1/2=1 7/10+1 10/20=2 17/20

Please mark as Brainliest! :)

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6 0
3 years ago
the moon is approximately 240,000 miles from Earth what is the distance written in scientific notation​
Tom [10]

Answer:

2.4 x 10^5

Step-by-step explanation:

4 0
2 years ago
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