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musickatia [10]
2 years ago
12

The shapes below are mathematically similar.

Mathematics
1 answer:
Lera25 [3.4K]2 years ago
7 0

Answer:

Triangle small ABC

Triangle big DEF

AB = 8 cm , BC = 12 cm , DE = 20 cm , EF = x

So;

\frac{AB}{DE} =  \frac{BC}{EF}  \\  \\  \frac{8}{20} =  \frac{12}{x}   \\  \\ 8x = 12 \times 20 \\ 8x = 240 \\  \\ x =  \frac{240}{8}  \\  \\ x = 30 cm

I hope I helped you^_^

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The graphs of the equations y=2x-7 and y-kx=7 are parallel when k equals
Slav-nsk [51]
y=2x-7 \ and \ y-kx=7 \\ \\ y=2x-7 \ and \ y=kx+7 \\ \\ two \ lines \ are \ parallel \ if \ their \ slopes \ are \ the \ same : \\ \\ k= 2


7 0
3 years ago
Which lines are perpendicular to 7x-3y=18
inna [77]
The answer is going to be   3y=7x-15. hope that helped
8 0
3 years ago
Please pe please please please please please help me
BARSIC [14]

Answer:

y =mx

Step-by-step explanation:

The second one is for the gradient

The third one is pythogras theorm

The last one is for the slope of a line(i'm not that sure about this one, sorry if its wrong)

6 0
2 years ago
The area of a rectangular wall of a barn is 85 square feet. Its length is 12 feet longer than the width. Find the length and wid
MaRussiya [10]

Answer:

Length = 17 feet, Width = 5 feet

Step-by-step explanation:

Given:

The area of a rectangular wall of a barn is 85 square feet.

Its length is 12 feet longer than the width.

Question asked:

Find the length and width of the wall of the barn.

Solution:

Let width of a rectangular wall of a barn = x

<u>As length is 12 feet longer than the width.</u>

Length of a rectangular wall of a barn = 12+x

As we know:

Area\ of\ rectangle=length\times breadth

85=(12+x)x\\\\85=12x+x^{2} \\

Subtracting both sides by 85

x^{2} +12x-85=0\\x^{2} +17x-5x-85=0\\Taking\ common\\x+(x+17)-5x(x+17)=0\\(x+17)(x-5)=0\\x+17=0, x-5=0\\x=-17,x=5

As width can never be in negative, hence  width of a rectangular wall of a barn = x = 5 feet

Length of a rectangular wall of a barn = 12+x=12+5=17\ feet

Therefore, length and width of the wall of the barn is 17 feet and 5 feet respectively.

                 

4 0
3 years ago
In a certain manufacturing process, it is known that, on average, 1 in every 100 items is defective.
Rashid [163]

Answer:

A. 0.009899

B. 0.005624

Step-by-step explanation:

Data:

Let the probability that an item is defective = \frac{1}{100}

The probability that the item is not defective = \frac{99}{100}

The probability that the fifth item is defective = \frac{1}{100}* \frac{98}{99}

                                                                            = 0.009899

Probability that one in 5 items is defective  = 0.005624

5 0
3 years ago
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