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Ronch [10]
3 years ago
13

Determine the relationship

Mathematics
1 answer:
crimeas [40]3 years ago
4 0
The correct answer is A
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ABCD is a rectangle. if AC = 3y/5 anf BD= 3(y-4), find the length of each diagonal
Digiron [165]
Remember please that Diagonals of a Rectangle are equal to each other:<span> 3y/5 = 3(y-4)
So 
</span><span>3y = 15(y-4)
3y = 15y - 60
60 = 12y
y = 5 Diagonals are both 3 units
With that you will be able to know which is the answer from your options</span>
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Pentagon P and pentagon Q, shown above, are congruent
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Pastries made out of filo dough are brushed with either olive oil or butter (but not both). Pastries made out of shortcrust doug
givi [52]

Answer:

3X/20 (option a) of the pastries submitted by Rashid and Mikhail were brushed with butter

Step-by-step explanation:

Rashid pastries (R)

Mikhail pastries (M)

Rashid and Mikhail submitted a total of x pastries

R+M=x (I)

Rashid made 2/3 as many pastries as Mikhail

(2/3)*R=M (II)

Using II in I

R+(2/3)*R=x

(5/3)*R = x

R=(3/5)*x (III)

Using III in I

(3/5)*x+M=x

M=x-(3/5)*x

M=(2/5)*x (IV)

Mikhail filo dough (MF)

Mikhail shortcrust dough (MS)

Rashid filo dough (RF)

Rashid shortcrust dough (RS)

Mikhail used filo dough for all of his pastries

MF=M

MS=0

Rashid used shortcrust dough for all of his pastries

RS=R

RF=0

Filo dough (FD)

FD=RF+MF=0+MF=MF=M (V)

5/8 of the filo dough pastries were brushed with olive oil

pastries brushed with olive oil (OI)

(5/8)*FD=OI

Using V

(5/8)*M=OI

Using IV

(5/8)*(2/5)*x=OI

(1/4)*x=OI (VI)

pastries brushed with butter (B)

Pastries made out of filo dough are brushed with either olive oil or butter (but not both)

FD=OI+B

B=FD-OI

Using V and VI

B= M - (1/4)*x

Using IV

B = (2/5)*x - (1/4)*x

B= (3/20)*x

3X/20 (option a) of the pastries submitted by Rashid and Mikhail were brushed with butter

5 0
3 years ago
Soulotion to equation if y is =15 when x=2 ,find y when x=8
skelet666 [1.2K]

Answer:

The value of y for x = 8 is 60  .

Step-by-step explanation:

Given expression as :

For x = 2  , y = 15

Let the equation be written with constant k'

So, y = k x

Or, k = \dfrac{y}{x}

∴   k =  \dfrac{15}{2}

<u>Now, again </u>

For x = 8

equation can be written as

   y = k x

Or,  y =  \dfrac{15}{2} × 8

Or,  y = \frac{15\times 8}{2}

∴    y = 15 × 4

I.e  y = 60

Hence The value of y for x = 8 is 60  . Answer

5 0
3 years ago
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