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polet [3.4K]
3 years ago
6

Two sides of a triangle have lengths 11 and 18. What must be true about the length of the third side

Mathematics
1 answer:
Anit [1.1K]3 years ago
4 0
It can either be equivalent to 11 or 18.
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Which is a factor of 6x^3y+6xy-12x^2-12
vredina [299]

6x³y + 6xy − 12x² − 12 = 6(xy-2) * (x²+1)


(x²+1) is a factor of 6x³y + 6xy − 12x² − 12

6 0
3 years ago
The sum of the measures of the angles of a triangle is 180. The sum of the measures of the second and third angles is four times
prohojiy [21]

Answer:

{36, 66, 78}

Step-by-step explanation:

Let the measures of the three angles be f, s and t, for first, second and third.  Then s + t = 4f, t = 12 + s, and f + s + t = 180.

Subbing 12 + s for t in the first equation, we get s + 12 + s = 4f.

Subbing the same in the third equation, we get f + s + 12 + s = 180

This results in two equations in two unknowns (f and s):

2s - 4f = -12

2s  + f  = 168.

Let's eliminate s by subtracting the first of these two equations from the second.  Doing so yields 5f = 180.  Then the first angle, f, or x, is 36.

Then, from 2s + f = 168, we get 2s + 36 = 168, or 2s = 132.  Thus, the second angle is s = y = 66.

The sum of the three angles must be 180.  Thus, 36 + 66 + t = 180, or

102 + t = 180, or t = z = 78.

The three angles are

{36, 66, 78}.

3 0
3 years ago
The surface area of rectangular prism is 48 ft.². The area of its front is 4 ft.², and the area of one side is 10 ft.². What is
DaniilM [7]
I think the answer is 20.
3 0
3 years ago
HELP ASAP 15 POINTS!!!<br> What is the solution to this equation?<br> 6(x-5)=4x+20
Andre45 [30]

Answer:

<h2><u><em>x = 25</em></u></h2>

Step-by-step explanation:

What is the solution to this equation?

6 * (x - 5) = 4x + 20

6x - 30 = 4x + 20

2x = 20 + 30

2x = 50

x = 50 : 2

x = 25

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

check

6 * ( 25 - 5) = 4 * 25 + 20

6 * 20 = 100 + 20

120 = 120

the answer is good

3 0
1 year ago
Read 2 more answers
A 5-column table has 4 rows. The first column has entries A, B, C, Total. The second column is labeled X with entries 45, 20, 25
Setler [38]

Answer:

Step-by-step explanation:

To see if two events are independent you can use the formula P(a|b) = P(a)

In this problem P(C|Y) = 35/75 = .4667 and P(C) = 110/300 = 3.667,

therefore C and Y are not independent events because P(C∣Y) ≠ P(C).

The answer is choice D

4 0
3 years ago
Read 2 more answers
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