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BARSIC [14]
3 years ago
8

Find the value of x for which abcd must be a parallelogram 3x 4x-5

Mathematics
1 answer:
Aliun [14]3 years ago
3 0
Let's first denote the intersection point of diagonals with O. In this parallelogram, we can observe that ΔAOB is congruent to ΔCOD because of AB=CD and the angles ∠BAO and ∠OCD are equal (They are alternate angles). According to the rule of congruency, 3x=4x-5 and x=5
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Write a translation rule that maps point D ( 7 , − 3 ) onto point D ' ( 2 , 5 ). I NEED HELPPPP!
anzhelika [568]

Answer:

T_{ - 5 ,8} \: or \: D'(x,y) →D(x - 5,y + 8)

Step-by-step explanation:

T _ { ? ,?}

D'(x,y) →D(x \pm ?,y \pm ?)

given D : (7,-3), and D' : (2,5)

the coordinates of D can be represented as (x1,y1), and the coordinates of D' can be represented as (x,y).

you can simply take the difference in the x values and difference in the y values from the preimage to image.

like this:

f'(x,y) → f(x+(x-x1),y+(y-y1)) : T _ {(x-x_1),(y-y_1)}

D'(x,y) → D(x+(2-7),y+(5--3))

D'(x,y) → D(x<u>-5</u>,y<u>+8</u>) : T _ {-5 ,8}

7 0
3 years ago
Read 2 more answers
Subtract -2k3 + k2 - 9 from 5k3 - 3k + 7.
tankabanditka [31]
5k3-3k+7-(-2k3+k2-9)
basically rewrite with simple algebra principles
15k-3k+7-(-6k+2k-9)
split up the parenthesis
15k-3k+7+6k-2k+9
sort them
15k-3k+6k-3k+7+9
short down by adding up the similar factors
answer: 18k+18
factorise
18(k+1)
both forms are right
8 0
3 years ago
Read 2 more answers
An open box with a square base is to have a volume of 18 ft^3.
kotegsom [21]

Answer:

2.29 ft of side length and 1.14 height

Step-by-step explanation:

a) Volume V = x2h, where x is side of square base and h is hite.

Then surface area S = x2 + 4xh because box is open.

b) From V = x2h = 6 we have h = 6/x2.

Substitude in formula for surface area: S = x2 + 4x·6/x2, S = x2 + 24/x.

We get S as function of one variable x. To get minimum we have to find derivative S' = 2x - 24/x2 = 0, from here 2x3 - 24 = 0, x3 = 12, x = (12)1/3 ≅ 2.29 ft.

Then h = 6/(12)2/3 = (12)1/3/2 ≅ 1.14 ft.

To prove that we have minimum let get second derivative: S'' = 2 + 48/x3, S''(121/3) = 2 + 48/12 = 6 > 0.

And because by second derivative test we have minimum: Smin = (12)2/3 + 4(12)1/3(12)1/3/2 = 3(12)2/3 ≅ 15.72 ft2

5 0
2 years ago
4. Escribe<br> 5. Escribe la ecuación 3x + 4y - 20 = 0 en su forma simétrica.<br> 62
navik [9.2K]

Answer:

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7 0
3 years ago
In △RST, RW=27 cm.
sertanlavr [38]

Hello!

I just completed this test and if I'm correct in assuming that this is the same problem I did, then your answer would be 18 cm.


Hope this helps! :)

7 0
3 years ago
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