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3 years ago

6

O is the center of the circle. Assume that lines that appear to be tangent are tangent. What is the value of x? 23 78.5 337 314

1 answer:

GaryK [48]3 years ago

4 0

I would have to say the answer is 23.

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Find the perimeter AND area of the parallelogram ABCD. Show all work

nexus9112 [7]

Since, this is parallelogram

so, opposite sides are equal

We will find value of sides

Calculation of AB:

we are given point A=(-2,3)

point B=(4,0)

we can use distance formula

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

now, we can plug values

$AB=\sqrt{(4+2)^2+(3-0)^2}$

$AB=3\sqrt{5}$

Since, this is parallelogram

so, opposite sides are equal

so,

$CD=AB=3\sqrt{5}$

Calculation of AD:

point A =(-2,3)

point D=(-5,2)

we can use distance formula

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

now, we can plug values

$AD=\sqrt{(-5+2)^2+(2-3)^2}$

$AD=\sqrt{10}$

Since, this is parallelogram

so, opposite sides are equal

so,

$BC=AD=\sqrt{10}$

Calculation of AE:

point A=(-2,3)

point E=(-3,1)

we can use distance formula

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

now, we can plug values

$AE=\sqrt{(-3+2)^2+(1-3)^2}$

$AE=\sqrt{5}$

(a)

we know that

perimeter of a parallelogram is sum of all sides

so,

perimeter is

$=AB+BC+CD+DA$

now, we can plug values

$=3\sqrt{5}+\sqrt{10}+3\sqrt{5}+\sqrt{10}$

$=6\sqrt{5}+2\sqrt{10}$ ...........Answer

(b)

we can use area of parallelogram formula

$A=AE\times CD$

we can plug values

$A=\sqrt{5}\times 3\sqrt{5}$

$A=15$ ............Answer

4 0

3 years ago

Suppose that the home you are buying sits on a rectangular shaped lot that is 240 feet by 139 feet. Convert this area to square

spin [16.1K]

Answer:3099.25

Step-by-step explanation:

240 feet * 139 feet = 33360 ft.

Divide 33360 by 10.764= 3099.245

"Round to the nearest hundredth = 3099.25

6 0

4 years ago

Which pair of angles are congruent?<br> A) 1 and 8 <br> B) 4 and 6 <br> C) 5 and 6 <br> D) 1 and 7

taurus [48]

Answer:

A

Step-by-step explanation:

because it makes more sense

6 0

4 years ago

Help please!!!!! :) its kind of hard for me..

adoni [48]

It would have to be 5/8.

5 0

4 years ago

Read 2 more answers

(Fog)(x) where f(x)=1/x^2+3 and g(x)= square root x-2

Sati [7]

Answer:

(fog)(x) = 1/(x-2) + 3

Step-by-step explanation:

f(x) = 1/x² +3 g(x) = √(x-2)

(fog)(x) = f(g(x)) = f( √(x-2)) = 1/(√(x-2))² +3

(fog)(x) = 1/(x-2) + 3

5 0

3 years ago