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3 years ago

For the figure shown, find m<1.

Mathematics

1 answer:

sdas [7]3 years ago

8 0

Answer:

Step-by-step explanation:

Sum of angles of a triangle = 180

So, 56 + 58 + x = 180

114 + x = 180

x = 116

Now ∠ 1 + ∠x = 180 [ straight line angles]

∠ 1 + 66 = 180

∠1 = 180 - 66 = 114°

You can use the rule : Exterior angle = sum of 2 interior opposite angles.

56 + 58 = ∠1

114 = ∠1

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3 years ago

Which of the following is true?

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Step-by-step explanation:

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3 years ago

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William has 24 24 cans of fruit and 60 60 cans of vegetables that he will be putting into bags for a food drive. He wants each b

Snezhnost [94]

Answer:

William will make 12 bags of food and each of the bag will contains 2 cans of fruit and 5 cans of vegetables.

Step-by-step explanation:

Given:

Number of fruits cans = 24

Number of veggies cans = 60

William will have to distribute them in equal bags with equal cans of fruits and vegetables respectively.

For this:

We have to find the GCF (greatest common factor) of 24 and 60.

GCF by listing out the factors method.

Factors of 24 : $1,2,3,4,6,8,12,24$

Factors of 60 : $1,2,3,4,5,6,10,12,15,20,30,60$

So,

The greatest common factor of $24$ and $60$ is $12$ .

The number of bags William will used for equal distribution = $12$

Now,

We have to distribute the veggies and fruits in equal number of cans to these $12$ bags.

Number of fruits cans used in each bag = $\frac{24}{12} = 2$

Number of vegetables can used in each bag = $\frac{60}{12} =5$

We can say that:

William will make 12 bags of food and each of the bag will contains 2 cans of fruit and 5 cans of vegetables.

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3 years ago

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3 years ago

Which is equivalent to 16 3/4x ?

aliya0001 [1]

The answer

the question is not very clear,
its complement may be <span>Which is equivalent to 16 ^ 3/4x?

-4√16^3x
-4√16^3
-3√16^4x
-3√16^4

perhaps the </span>16 3/4x should be written as [16 ^ 3] / 4x, or 16 ^ (3 / 4x)
or - [16 ^ (3 / 4)] x

If the question is [16 ^ 3] / 4x, then none of the choices is equivalent to this
if the question is 16 ^ (3 / 4x), it is equivalent to 4x-th root of 16^3

so if the question is - [16 ^ (3 / 4)] x
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so the choice is -4√16^3x

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3 years ago

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For the figure​ shown, find m<1.

For the figure shown, find m<1.