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alex41 [277]
3 years ago
10

Point G is thr incenter of the triangle. what is the value of x?a.4b.c.24d.32

Mathematics
1 answer:
Agata [3.3K]3 years ago
4 0

Answer: The value of x =8.


Step-by-step explanation:

We know that the incenter of triangle is constructed by taking the intersection of the angle bisectors of the three vertices of the triangle.

Thus if G is the incenter of \triangle DEF then, it is bisecting \angle{F}

\Rightarrow\angle{GFE}=\angle{GFD}

\\\Rightarrow2x=16\\\Rightarrow\ x=8

Therefore, the value of x=8.

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Help please! Thankyou
Soloha48 [4]

Answer:

Thus, option A is correct.

Explanation:

<u>match the proportions</u>

  • $240,000 → 60%
  • x → 100%

<u>set up a equation:</u>

\sf \dfrac{60}{100}  = \dfrac{240,000}{x}

\sf x = \$400,000

4 0
2 years ago
The height of a ball t seconds after it is thrown upward from a height of 6 feet and with an initial velocity of 80 feet per sec
SVEN [57.7K]

Answer:

f(2) = f(3) = 102 ft

Step-by-step explanation:

The height f at t = 2 seconds is given by:

f(t) = -16t^2 + 80t + 6\\f(2) = -16*2^2 + 80*2 + 6\\f(2)=-64+160+6\\f(2)=102\ ft

The height f at t = 3 seconds is given by:

f(t) = -16t^2 + 80t + 6\\f(3) = -16*3^2 + 80*3 + 6\\f(3)=-144+240+6\\f(3)=102\ ft

For both t =2 and t =3, the expression results in a height of 102 ft, therefore f(2) = f(3) = 102 ft.

4 0
3 years ago
A circular mirror measures 24 cm in diameter.
Basile [38]

Answer:

The perimeter or circumference of a half mirror = 37.68 cm

Step-by-step explanation:

  • The diameter of circular measure = 24 cm

We know that the perimeter of a circular shape is called the 'circumference', with the formula

  • Circumference of a circle = C = 2πr

When the mirror is cut into half, the diameter gets half as well.

  • Thus, the diameter of a half mirror = 24/2 = 12 cm

We know that radius = r = diameter / 2 = 12/2 = 6 cm

Thus, the perimeter of half of the mirror  = C = 2πr

                                                                           = 2(3.14)6

                                                                            = 37.68 cm

Therefore, the perimeter or circumference of a half mirror = 37.68 cm

4 0
3 years ago
-2/3p + 1/5 -1 + 5/6p
Harlamova29_29 [7]

Answer:

p/6−4/5

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
The function ​s(x)equals=startfraction 3600 over 60 plus x endfraction equals 3600 left parenthesis 60 plus x right parenthesis
cricket20 [7]
<span>Answer: The linear approximation, about x= 0, is as you said, s(x)= s(0)+ s'(0)(x- 0)= 60- x. From that, what is s(51)? These are some things that I have been trying: x = 51 a = 0 s(0) = 60 s'(0) = -0.292184076 How in the world did you get this? This appears to be your main error. You said, above, that s'(t)= \frac{-3600}{(60+ x)^2}, Setting x= 0 in that gives, as I said before, -1. s(0) + s'(0)(51 - 0) = 60 - 14.90138787 = 45.098 ... And, x = 0 a = 51 s(0) = 60 s'(0) = -0.292184076 s(0) + s'(0)(0 - 51) = 60 + 14.90138788 = 74.901 ... It's probably something to do with how I am substituting the values but I haven't been able to arrange them in a way that yields anything close to the answer. I did find something that gave me an answer of 9 when I was playing around with the x - a stuff but I cannot remember what it was that I did. Maybe I need to add the answer of 9 that I found to the s(a) = 60 in order to get 69?</span>
3 0
3 years ago
Read 2 more answers
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