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BaLLatris [955]
3 years ago
8

If 2 of the angles of a triangle are 30 and 70 degrees, the third angle measures ...

Mathematics
1 answer:
Vedmedyk [2.9K]3 years ago
7 0

Answer:

The third angle measures 80°

Step-by-step explanation:

Let us solve the question

In any triangle

∵ The sum of the measures of the interior angles of a triangle is 180°

∵ The angle of triangles are ∠1, ∠2, and ∠3

∴ m∠1 + m∠2 + m∠3 = 180°

∵ Two of the angles of the triangle are 30° and 70°

∴ m∠1 = 30°

∴ m∠2 = 70°

→ Substitute them in the rule above

∴ 30° + 70° + m∠3 = 180°

→ Add the like terms

∵ (30 + 70) + m∠3 = 180

∴ 100 + m∠3 = 180

→ Subtract 100 from both sides

∵ 100 - 100 + m∠3 = 180 - 100

∴ m∠3 = 80°

∴ The third angle measures 80°

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Find the product. Your answer must be in simplest form.<br> 7/8 of 56
Leviafan [203]

Answer:

You probably know that the number above the fraction line is called the numerator and the number below it is called the denominator. To work out the fraction of any number, we first need to convert that whole number into a fraction as well.

Here's a little tip for you. Any number can be converted to fraction if you use 1 as the denominator:

56

1

So now that we've converted 56 into a fraction, to work out the answer, we put the fraction 7/8 side by side with our new fraction, 56/1 so that we can multiply those two fractions.

That's right, all you need to do is convert the whole number to a fraction and then multiply the numerators and denominators. Let's take a look:

7 x 56

8 x 1

=  

392

8

In this case, our new fraction can actually be simplified down further. To do that, we need to find the greatest common factor of both numbers.

You can use our handy GCF calculator to work this out yourself if you want to. We already did that, and the GCF of 392 and 8 is 8.

We can now divide both the new numerator and the denominator by 8 to simplify this fraction down to its lowest terms.

392/8 = 49

8/8 = 1

When we put that together, we can see that our complete answer is:

49

1

The complete and simplified answer to the question what is 7/8 of 56 is:

49

Hopefully this tutorial has helped you to understand how to find the fraction of any whole number. You can now go give it a go with more numbers to practice your newfound fraction skills.

Step-by-step explanation:

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3 years ago
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Step-by-step explanation:

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A line that is perpendicular to y=-4-10 passing through the point (8,11)
guapka [62]

Answer:

Step-by-step explanation:

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4 0
2 years ago
The sum of two numbers is 18 and the difference is 8
Andrews [41]

Answer:

x = 13 and y = 5

Step-by-step explanation:

x + y = 18

x - y = 8

<u>Step 1:  Find y</u>

x = 18 - y

(18 - y) - y = 8

18 - y - y - 18 = 8 - 18

-2y / -2 = -10 / -2

<em>y = 5</em>

<em />

<u>Step 2:  Plug into x + y = 18 to get x</u>

x + 5 - 5 = 18 - 5

<em>x = 13</em>

<em />

Answer:  x = 13 and y = 5

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