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3 years ago

Which expressions are equivalent to 2(25)?

Mathematics

2 answers:

miskamm [114]3 years ago

8 0

Answer:

2(10+15)= 50

2(20+5)= 50

Step-by-step explanation:

2(25)=50

2(20+15) = 70

2(10+15)= 50

2(20+5)= 50

2(2+5) = 14

g100num [7]3 years ago

6 0

Answer:

2(20+5)

2(10+15)

Step-by-step explanation:

When you add 20+5 together you get 25 which is the same to 2(25)

When you add 10+15 together you get 25 which is the same to 2(25)

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Since BC is parallel to DE, triangles ABC and ADE are similar. What are the lengths of the unknown sides?

Yuri [45]

Answer:

Option D. AC= 10 cm and CE= 5 cm

Step-by-step explanation:

From the given figure two triangles ΔABC and ΔADE are similar and two lines BC║DE.

From these similar triangles we know

$\frac{AB}{AD}=\frac{BC}{DE}=\frac{AC}{AE}$

$\frac{8}{12}=\frac{BC}{9}=\frac{AC}{AE}$

Therefore $\frac{AC}{AE}=\frac{8}{12}=\frac{2}{3}$

Or AC= $\frac{2}{3}AE$

Now from pythagoras theorem

AE = √(AD²+ED²) = √(12²+9²) = √(144+81) =√225 = 15 cm

Since we know side AC = $\frac{2}{3}AE$

= $\frac{2}{3}\times 15$

= 10 cm

Therefore AC = 10 cm and AE = 15cm and CE = (15-10) = 5 cm

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3 years ago

A study records the lengths of pregnancy (in days) of 500 women. The data is normally distributed with a mean of 266 days and a

VashaNatasha [74]

Answer:

371 women had their pregnancy between 250 days and 282 days in length.

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Step-by-step explanation:

z=532-266

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3 years ago

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Scorpion4ik [409]

Answer:

Hey there!

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The third graph from the top shows this.

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3 years ago

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If x² + xy – 3y = 3, then at the point (2, 1), dy/dx

Scilla [17]

Answer:

Step-by-step explanation:

We have the equation:

$x^2+xy-3y=3$

Take the derivative of both sides with respect to x:

$\frac{d}{dx}[x^2+xy-3y]=\frac{d}{dx}[3]$

Implicitly differentiate:

$2x+y+x\frac{dy}{dx}-3\frac{dy}{dx}=0$

Solve for dy/dx:

$\frac{dy}{dx}(x-3)=-2x-y\\$

Divide:

$\frac{dy}{dx}=-\frac{2x+y}{x-3}$

To find dy/dx at (2, 1), substitute 2 for x and 1 for y. So:

$\frac{dy}{dx}_{(2, 1)}=-\frac{2(2)+1}{2-3}=-\frac{5}{-1}=5$

Hence, our answer is A.

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3 years ago

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Answer:

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Step-by-step explanation:

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3 years ago

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