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krok68 [10]
2 years ago
9

1. The measure of angle GHI is 120° Angle GHI is cut in half with ray HK, if angle

Mathematics
1 answer:
saveliy_v [14]2 years ago
5 0

Answer:

The value of x = 4

Step-by-step explanation:

In this question, we are asked to calculate the value of the angle x

Here the ray cuts the angle into half.

Since the total of the angle was 120, half of this would be 120/2 = 60

Now, it is this value of 60, that our new angle equals to

Mathematically;

3x + 48 = 60

3x = 60-48

3x = 12

x = 12/3

x = 4

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Given 6, 8, and 11 as the three sides of a triangle, classify it as one of the following:
Katyanochek1 [597]

9514 1404 393

Answer:

  C. Obtuse

Step-by-step explanation:

The "form factor" I use for this is ...

  a^2 + b^2 - c^2 = 6^2 + 8^2 - 11^2 = 36 +64 -121 = -21

The value is negative, indicating an OBTUSE triangle.

__

<em>Additional comment</em>

In this expression, 'a' and 'b' are the two shortest sides (in no particular order) and 'c' is the longest side. The interpretation is ...

  negative — obtuse

  zero — right

  positive — acute

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If you're familiar with Pythagorean triples, you know that the 3-4-5 right triangle triple can be doubled to give 6-8-10. The long side of 11 is longer than the hypotenuse for the right triangle, so would correspond to a largest angle greater than 90°. The 6-8-11 triangle would be OBTUSE.

5 0
3 years ago
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(show ur work) You spend $40 on 5 pounds of concrete. What is the unit rate in dollars per pound?
vesna_86 [32]

Answer:

8 dollars per pound

Step-by-step explanation:

40 divided by 5 will give you the $/lb

40/5=8 so its $8/lb

3 0
2 years ago
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Someone sells a product for 10 cents and he sells 1000 products, how much money did he earn
zheka24 [161]

Answer:

$100

Step-by-step explanation:

  1. 10¢ × 1,000 = 10,000¢
  2. To convert to dollars: Cents ÷ cents in 1 dollar
  3. To convert to dollars: 10,000¢ ÷ 100¢ = $100

I hope this helps!

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3 years ago
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If y varies inversely as x, and y = 4 as x = 8, find y for the x-value of 2.
anyanavicka [17]
Because y varies inversely as x, instead of directly, you will need to multiply x by a fractional number (or divide x) in order to find y.
When x=8, y=4. Therefore, to find y, you need the "equation" y=(1/2)(x) or y=x/2.
So, when x=2, y=(1/2)(2) or y=2/2.
And so, y=1
Hope this helps!
5 0
3 years ago
Simply this equation
DaniilM [7]
 12÷ 3(  -8+16-6) +2
12÷3(2<span>)+12
12</span><span>÷6+12
</span>2+12+14
so 14 is  your answer

5 0
3 years ago
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