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kumpel [21]
4 years ago
11

PLEASE HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

!!!!!!!!!!!!!!!!!!!

Mathematics
1 answer:
Volgvan4 years ago
8 0
The answer it the 2, 4, 5
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Quadrilateral ABCD ​ is inscribed in a circle.
cupoosta [38]

Answer:

m\angle A=\boxed{135}\,^\circ

Step-by-step explanation:

Opposite angles of an inscribed quadrilateral are supplementary, so ...

  m∠A + m∠C = 180°

Substituting the given expressions, we have ...

  (3x +6)° + (x+2)° = 180°

  4x +8 = 180 . . . . . . collect terms, divide by °

  x +2 = 45 . . . . . . . . divide by 4

  3x +6 = 135 . . . . . . multiply by 3

This is the value of angle A in degrees, so ...

  m∠A = 135°

4 0
3 years ago
Write the equation of a parabola having the vertex (1, −2) and containing the point (3, 6) in vertex form. Then, rewrite the equ
In-s [12.5K]
PART A

The equation of the parabola in vertex form is given by the formula,

y - k = a {(x - h)}^{2}

where

(h,k)=(1,-2)

is the vertex of the parabola.

We substitute these values to obtain,


y  + 2 = a {(x - 1)}^{2}

The point, (3,6) lies on the parabola.

It must therefore satisfy its equation.


6  + 2 = a {(3 - 1)}^{2}


8= a {(2)}^{2}


8=4a


a = 2
Hence the equation of the parabola in vertex form is


y  + 2 = 2 {(x - 1)}^{2}


PART B

To obtain the equation of the parabola in standard form, we expand the vertex form of the equation.

y  + 2 = 2{(x - 1)}^{2}

This implies that

y + 2 = 2(x - 1)(x - 1)


We expand to obtain,


y + 2 = 2( {x}^{2}  - 2x + 1)


This will give us,


y + 2 = 2 {x}^{2}  - 4x + 2


y =  {x}^{2}  - 4x

This equation is now in the form,

y = a {x}^{2}  + bx + c
where

a=1,b=-4,c=0

This is the standard form
7 0
3 years ago
A person accumulates 163,000 grams of trash each year how many kilograms are in this amount
Maurinko [17]
1g= 0.001 kg

163000 * 0.001 = 163 kg
8 0
3 years ago
Whats is the answer for 2(9w+8)
sasho [114]

18w +16 is the answer to this equation



4 0
4 years ago
Read 2 more answers
The point Z(6,2) is rotated 180degrees clockwise around the origin.What arethe coordinates of the resulting point Z'
jok3333 [9.3K]

Answer:

Z' = (-6,-2)

Step-by-step explanation:

Given

Z = (6,2)

Transformation: 180 degrees clockwise around the origin

Required

Determine the new coordinates Z'

<em>When a point (x,y) is rotated 180 degrees clockwise around the origin, the new point is: (-x,-y)</em>

<em></em>

So:

Z = (6,2)

Then:

Z' = (-6,-2)

7 0
3 years ago
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