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2 years ago

If these two shapes are similar, what is the measure of the missing length j?

Mathematics

1 answer:

nadya68 [22]2 years ago

8 0

Answer:

Step-by-step explanation:

If two shapes are similar, this means the ratio of similar sides to each other are the same.

So, in the green shape, the long side length is 5 mm. In the purple shape, the long side length is 10 mm in length. The ratio is therefore 5 to 10, which can be simplified to 1 to 2 (which is basically saying that the side lengths of the purple shape are double the length of the sides of the green shape).

Using the same 1 to 2 ratio, you know that the short side length on the green shape is 1. The short side length on the purple shape (j) must therefore be double, which is 2.

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Find the area of each polygon

stepladder [879]

I don't understand please be specific

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2 years ago

Choose the congruence theorem that you would use to prove the triangles congruent.

Elena L [17]

Answer:

SAS

Explanation:

Before solving the problem, let's define each of the given theorems:

1- SSS (side-side-side): This theorem is valid when the three sides of the first triangle are congruent to the corresponding three sides in the second triangle

2- SAS (side-angle-side): This theorem is valid when two sides and the included angle between them in the first triangle are congruent to the corresponding two sides and the included angle between them in the second triangle

3- ASA (angle-side-angle): This theorem is valid when two angles and the included side between them in the first triangle are congruent to the corresponding two angles and the included side between them in the second triangle

4- AAS (angle-angle-side): This theorem is valid when two angles and a side that is not included between them in the first triangle are congruent to the corresponding two angles and a side that is not included between them in the second triangle

Now, let's check the given triangles:

We can note that the two sides and the included angle between them in the first triangle are congruent to the corresponding two sides and the included angle between them in the second triangle

This means that the two triangles are congruent by SAS theorem

Hope this helps :)

5 0

3 years ago

Read 2 more answers

olga_2 [115]

Hey! I’m not sure what you’re needing help on but if it’s an answer i’m pretty sure the answer would be - 180 (hx)

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1 year ago

Please help simple alebgra! Write an equation representing the translation of f(x) = 7x + 3 down 4 units.

Anni [7]

9514 1404 393

Answer:

g(x) = 7x -1

Step-by-step explanation:

The y-coordinate of a function tells how many units the function value lies above the x-axis. Translating that value down 4 units is the same as subtracting 4 from the function value.

g(x) = f(x) -4

g(x) = 7x +3 -4

g(x) = 7x -1

5 0

2 years ago

There are two cookie jars: jar 1 contains two chocolate chip cookies and three plain cookies, and jar 2 contains one chocolate c

vesna_86 [32]

Answer:

P = 0.55 or 55 %

Step-by-step explanation:

First step: Fred has probability of 0,5 when chossing jar 1 or jar 2

Second step : The probability of chossing one chocolate chp cookie in jar 1 is 3/5 and from the jar 2 is 1/2

Then the probability of Fred to get a chocolate chip cookie is

P ( get a chocolate chip cookie ) =( 0.5 * 3/5) +( 0.5* 1/2)

P = 0.3 + 0.25

P = 0.55 or 55 %

8 0

2 years ago