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astraxan [27]
3 years ago
11

Quadrilateral ABCD is a rectangle.

Mathematics
1 answer:
jeka943 years ago
5 0

Answer:

A

Step-by-step explanation:

The diagonals of a rectangle are congruent and bisect each other, so

AC = BD

2AG = 2DG, that is

AG = DG, substitute values

- 7y + 5 = 2y + 68 ( subtract 2y from both sides )

- 9y + 5 = 68 ( subtract 5 from both sides )

-9y = 63 ( divide both sides by - 9 )

y = - 7

Hence

BD = 2(2y + 68)

     = 4y + 136

     = (4 × - 7) + 136

     = - 28 + 136

     = 108 → A

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8.<br><br> Find the slope of the line.<br><br> A. 0<br> B. -2<br> C. Undefined<br> D. 2
KATRIN_1 [288]

Answer:

C. Undefined

Step-by-step explanation:

Input Data :

Point A  

(

x

A

,

y

A

)

= (2, 5)

Point B  

(

x

B

,

y

B

)

= (2, -2)

Objective :

Find the slope of a line that passes through points A and B.

Formula :

Slope

 

m

=

y

B

−

y

A

x

B

−

x

A

Solution:

Slope

 

m

=

−

2

−

5

2

−

2

=

−

7

0

m = -INF

6 0
3 years ago
Read 2 more answers
The original price p of an item less a discount of 15%
Snowcat [4.5K]
P-.15p this is the expression for cost after discount

and its just .15p for just the discount

7 0
2 years ago
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Some fireworks are fired vertically into the air from the ground at an initial speed of 80 feet per second. The equation for thi
EastWind [94]

Answer:

Vertex (-2.5,-300)

Step-by-step explanation:

We are given with h(t)=-16 t^2 +80 t.  We are asked to find the vertex.

X-coordinate of vertex =\frac{-b}{2a}

Where 'a' is coefficient of t^{2} term

'b' is coefficient of 't' term.

From given function, a= -16

b=80

So,

x-coordinate of vertex =\frac{-80}{2(-16)}

                                =-2.5

y-coordinate of vertex =-16(-2.5)^{2} +80(-2.5)

Simplify it,

            =-100 -200

           = -300

So, vertex is at (-2.5, -300).

4 0
3 years ago
Please help guys I’m really struggling
tatiyna

Answer: y = -4x - 4

Step-by-step explanation:

Point slope form: y - y1 = m(x - x1)

Plug in y1 and x1, and m. M is the slope, x1 and y1 are the values for a coordinate. You don't need to plug anything in for y or x, just y1 and x1.

First, find the slope. To find the slope, use this "formula" : slope=\frac{rise}{run} =\frac{y1-y2}{x2-x1}

Find two coordinate points. Let's use (-2,4) and (0,-4). Based on this, we know that y1 is 4, y2 is -4, x1 is -2, and x2 is 0. Plug these into the formula:

\frac{4--4}{-2-0} =\frac{4+4}{-2} =\frac{8}{-2}=-4

Then, pick any point to plug into the equation. Let's use (0,-4)

Finally, plug everything into the equation:

y - - 4 = -4(x - 0)

y + 4 = -4x

y = -4x - 4

3 0
2 years ago
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Create an equivalent ratio to 10:16 by dividing both sides by 2. What is the equivalent ratio?
Darya [45]

10 / 2 = 5

16 / 2 = 8

The equivalent ratio is 5:8

5 0
2 years ago
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