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malfutka [58]
3 years ago
9

Point A is the incenter of DEF.What is the value of n?A. 7B. 11C. 14D. 15​

Mathematics
2 answers:
erica [24]3 years ago
6 0

Answer: Answer is B- 11

Step-by-step explanation: got it right on edge

ss7ja [257]3 years ago
4 0

Answer:

B.11

Step-by-step explanation:

It's 27 degrees so,

3 times 11 is 33 and 33 - 6 is 27

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The height of a triangle is 8 centimeters greater than half its base. The area of the triangle is 48 square centimeters what is
emmainna [20.7K]

Answer:

base = 8 cm

height = 12 cm

Step-by-step explanation:

We will need the formula for area of a trianlge, which is

A = (1/2)bh    where b is the base, and h is the height

We are given two formulas...

"The height of a triangle is 8 centimeters greater than half its base" becomes

  h = (1/2)b + 8

"The area of the triangle is 48 square centimeters" becomes

48 = (1/2)bh

Plug the first formula into the second to solve for h

48 = (1/2)b[(1/2) + 8]             (h becomes (1/2)b + 8)

Now solve for b

48 = (1/4)b² + 4b

**This is a quadratic euquation.  Solve using factoring...

(1/4)b² + 4b - 48 = 0       (subtract 48 from both sides)

b² + 16b - 192  =  0       (multiply by 4 so b² is by itself, it's easier to factor this way)

Now factor...

(b + 24)(b - 8) = 0       (you need two numbers that add to 16 and multiply to -192)

Set each binomial equal to zero and solve for b

b + 24 = 0          

    b = -24    

**this anwser is not valid because b is a length, and you can't have negative length

b - 8 = 0

  b = 8        

Since the other solution is invalid, the base is b

If the base is b, then the height is...

h = (1/2)b + 8

 

   h = (1/2)(8) + 8

     h = 4 + 8

 

         h = 12

8 0
3 years ago
If 72 = 12x, what does x equal?
CaHeK987 [17]

Answer:

x=6

Step-by-step explanation:

So, x is our unknown variable. An so you have to ask yourself, what times 12= 72? The answer would be 6, because 12x6=72

The proper way to do it, would be to divide 12/12 so you isolate the variable, and what you do to one side, you do to the other, so divide 72 by 12 and you get 6! Hope this helps!

6 0
2 years ago
What affect does "h" have on the parent function y = 1/x ?
pochemuha
If h moves the graph left or right, y= \frac{1}{x+h} (moves left)
y= \frac{1}{x-h} (moves right)

If a vertical stretch by a factor of |h|, then y =  \frac{h}{x}

If h moves the graph up or down, y= \frac{1}{x} +h (moves up)
y= \frac{1}{x} -h (moves down)

y= \frac{1}{-hx} and h = 1
7 0
3 years ago
Why is 6 is greater than 5/8 but less than 70
AnnyKZ [126]
6 is a whole number and 5/8 is a fraction
Fractions are parts of a whole number
So a fraction is smaller than any whole number
Thats why 6 is greater than 5/8
6 is a number that is in the ones place
Once the ones place is full up the number 9 and is about to go to 10 it goes to the tens place
So anything that is in the tens place is greater than a number in the ones place
6 is in the ones place
70 is in the tens place
Thats why 6 is less than 70
5 0
3 years ago
Read 2 more answers
Simplify. square root (108 x^5 y^6)
sveta [45]
\bf \sqrt{108x^5y^6}\qquad 
\begin{cases}
108=2\cdot 2\cdot 3\cdot 3\cdot 3\\
\qquad 2^2\cdot 3^2\cdot 3\\
\qquad (2\cdot 3)^2\cdot 3\\
\qquad 6^2\cdot 3\\
x^5=x^{4+1}\\
\qquad x^4\cdot  x^1\\
\qquad x^{2\cdot 2}\cdot x\\
\qquad (x^2)^2\cdot x\\
y^6=y^{3\cdot 2}\\
\qquad (y^3)^2
\end{cases}\implies \sqrt{6^2\cdot 3\cdot (x^2)^2\cdot x\cdot (y^3)^2}
\\\\\\
6x^2y^3\sqrt{3x}
3 0
3 years ago
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