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kodGreya [7K]
3 years ago
15

Geometry, Triangle in a circle. Find X show work and explain please

Mathematics
1 answer:
nikklg [1K]3 years ago
7 0

Answer: x=7

Step-by-step explanation:

By the Intersecting Secants Theorem, we know that:

(5)(x+5)=(6)(6+4)

Having this, we can find the value of "x" by solving for "x":

Applying Distributive property:

(5)(x+5)=(6)(24)\\5x+25=60

Subtract 25 from both sides of the equation:

5x+25-25=60-25\\5x=35

And finally dviding both sides of the equation by 5, we get:

\frac{5x}{5}=\frac{35}{5}\\x=7

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Shane and Abha earned a team badge that required their team to collect no less than 2000 cans for recycling. Abha collected178 m
Agata [3.3K]

Answer:

Let number of cans collected by Shane =S

Number of cans collected by Abha=S+178

As, it is given that ,Abha collected 178 more cans than Shane did.

Also, the statement about inequality is

Both Shane and Abha have to collect no less than 2000 cans for recycling.

Writing the statement in terms of inequality

S +S+178 ≥ 2000

2 S ≥ 2000 - 178

2 S ≥ 1822

Dividing both sides by 2, we get

S≥ 911

So, Shane must have collected At least 911 cans.

6 0
3 years ago
Read 2 more answers
Please i need some help on this question
Pachacha [2.7K]

Answer:

1) For 3 tickets, the cost is $12

2) For 5 tickets, the cost is $20

3) $28 can purchase 7 tickets

4) For 10 tickets, the cost is $40

Step-by-step explanation:

1) For 3 tickets

8 = 2

x = 3

(8 ÷ x) = (2 ÷ 3)

Cross multiply,

2x = 8 x 3

2x = 24

x = 24 ÷ 2

x = $12

Use the same principle for the other questions. Use X (or any other variable) to represent the missing value, I e. the value you are calculating.

I hope this helps.

7 0
2 years ago
Arati posted a comment on her blog. Each day the number of responses to her comment was 125% of the number she received on the p
zvonat [6]

If the next number is 125% of the previous number, that means that the previous number is increasing by 25% each time.

The multiplier for increasing by 25% is:

(100 + 25) ÷ 100 = 1.25

So on day one, there are 64 responses. That means on day two, there will be:

---> 64 x 1.25 = 80 responses

On day 3, there will be:

---> 80 x 1.25 = 100 responses

Finally, on <u>day 4</u>, there will be:

---> 100 x 1.25 = 125 responses

A quicker way of getting this would be to do:

64 x 1.25³      since you are multiplying by 1.25  3 times

--------------------------------------------------

Answer:

125 responses

5 0
3 years ago
4. The highest paid weekly wage of a group of
Pavel [41]

Answer:

77.5

Step-by-step explanation:

105-27.5

3 0
3 years ago
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Michael is constructing a circle circumscribed about a triangle. he has partially completed the construction. what should be his
earnstyle [38]

Answer:

Connect the arcs to make a perpendicular bisector

6 0
1 year ago
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