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IceJOKER [234]
2 years ago
9

Label based on triangle inequality

Mathematics
1 answer:
grigory [225]2 years ago
4 0

Answer:

8 < X < 12

Step-by-step explanation:

12 is the measure of the longest side & 8 is the measure of the smallest side. So just arrange it in ascending order.

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Find the value of x. If​ necessary, write your answer in the simplest radical form.
Paul [167]

Answer:

x = 4\sqrt{5}

Step-by-step explanation:

Using Pythagoras' identity in the right triangle.

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

x² + 1² = 9²

x² + 1 = 81 ( subtract 1 from both sides )

x² = 80 ( take square root of both sides )

x = \sqrt{80} = \sqrt{16(5)} = \sqrt{16} × \sqrt{5} = 4\sqrt{5}

3 0
2 years ago
Read 2 more answers
The sum of the lengths of two opposite sides of the circumscribed quadrilateral is 10 cm, and its area is 12 cm2. Find the radiu
PtichkaEL [24]

Answer:

1.2 cm

Step-by-step explanation:

The area of sircumscribed quadrilateral over a circle is equal to

A=s\cdot r,

where s is semi-perimeter of the quadrilateral and r is the radius of the circle.

Use property of circumscribed quadrilateral: The sums of the opposite sides are equal.  

So, if the sum of two opposite sides of the circumscribed quadrilateral is 10 cm, then the sum of another two sides is also 10 cm and the perimeter of the quadrilateral is 20 cm. Hence,

s=\dfrac{20}{2}=10\ cm

Now,

A=s\cdot r\\ \\12=10r\\ \\r=\dfrac{12}{10}=1.2\ cm

8 0
3 years ago
Using the pie chart below, if 300 students were polled on their favorite ice cream flavor, how many more students preferred stra
Paladinen [302]
Since there are 300 students you have to use proportions to solve the percents. First for strawberry you need to set up a proportion such as x/300=30/100 to show you are trying to find 30%of 300. Then you must cross multiply so 300 times 30 and 100 times x. Then you have 9,000 and 100, so you divide 9,000 by 100 and then you get 90 which is the portion of kids who liked strawberry flavored ice cream. You should do the exact same thing for vanilla ice cream like this: x/300=29/100 but since you’re finding 29% you need to put a 29 over 100. Then you cross multiply and do 300 times 29 and do x times 100. Which makes you get 8,700 and 100, and then you divide 8,700 by 100 and get 87 for vanilla ice cream. Lastly you need to subtract 87 from 90 since it asked how many more students liked strawberry than vanilla: 90-87=

Can you please mark branliest? Thank you!
3 0
2 years ago
Which statement best describes the expression 3 y ÷ 2?
babymother [125]
The answer is c so i would pick that beacuse its sounds like a correct answer.
4 0
3 years ago
E
KonstantinChe [14]
The bench costs $450.
You first need to subtract the difference between the garden table and the bench from the total so they are equivalent, and then divide by two to find what the bench is on its own.
(The garden table costs $536, by the way. To find that, you just need to add its half of 900, 450, to the 86 you subtracted initially.)
Tell me if this doesn’t make sense, it’s sort of hard to explain!

4 0
2 years ago
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