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Mathematics

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Veronika [31]3 years ago

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Triangle HIJ is similar to triangle KLM. Find the measure of side MK. Round your answer to the nearest tenth.

AnnZ [28]

Answer:

$MK\approx 87.7$

Step-by-step explanation:

By definition, similar polygons have corresponding sides in a constant proportion. Therefore, we can set up the following proportion (ratio of corresponding sides) to solve for $MK$ :

$\frac{20}{13}=\frac{MK}{57},\\MK=\frac{57\cdot 20}{13}\approx \boxed{87.7}$

3 0

3 years ago

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Which expression is equivalent to the expression -3 (4r - 2) -2r?

liubo4ka [24]

Answer:

-14r + 6

Step-by-step explanation:

-12r + 6 - 2r

3 0

3 years ago

The 18th term of an arithmetic sequence is 49 and the first term is 15.

Tju [1.3M]

Answer:

Step-by-step explanation:

49-15=34

34/17=2

For this sequence, you can write this function:

f(x)=15+2(x-1)

Check:

f(18)=15+2(18-1)

f(18)=15+2(17)

f(18)=15+34

f(18)=49

So:

f(10)=15+2(10-1)

f(10)=15+2(9)

f(10)=15+18

f(10)=33

5 0

3 years ago

To make hummingbird nectar you must use 4 cups of water and 1 cup of sugar. What is the ratio of water to sugar?

Paladinen [302]

4:1,

there are 4 cups of water for every 1 cup of sugar

5 0

3 years ago

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Twice the difference of a number and 1 is 4 more than that number. find a number using polyas 4 steps

professor190 [17]

Answer:

x=3

Step-by-step explanation:

2(x-1)=4

2x-2=4

2x=4+2

2x=6

x=6/2=3

8 0

3 years ago

He will look into the matter.change to passive voice​

He will look into the matter.change to passive voice