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Natasha_Volkova [10]
3 years ago
14

2% of the student at hamlet middle school have red hair there are 700 student at hamilton middle school school

Mathematics
1 answer:
Evgen [1.6K]3 years ago
3 0
14 students should have red hair, if that's what you're asking.
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In a triangle find the Remote exterior angle given the remote interior angles are 27 and 53
Varvara68 [4.7K]

Answer:We can use equations to represent the measures of the angles described above. One equation might tell us the sum of the angles of the triangle. For example,

x + y + z = 180

We know this is true, because the sum of the angles inside a triangle is always 180 degrees. What is w? We don't know yet. But, we may observe that the measure of angle w plus the measure of angle z = 180 degrees, because they are a pair of supplementary angles. Notice how Z and W together make a straight line? That's 180 degrees. So, we can make a new equation:

w + z = 180

Then, if we combine the two equations above, we can determine that the measure of angle w = x + y. Here's how to do that:

x + y + z = 180 (this is the first equation)

w + z = 180 (this is the second equation)

Now, rewrite the second equation as z = 180 - w and substitute that for z in the first equation:

x + y + (180 - w) = 180

x + y - w = 0

x + y = w

Interesting. This tells us that the measure of the exterior angle equals the total of the other two interior angles. In fact, there is a theorem called the Exterior Angle Theorem which further explores this relationship:

Exterior Angle Theorem

The measure of an exterior angle (our w) of a triangle equals to the sum of the measures of the two remote interior angles (our x and y) of the triangle.

Let's try two example problems.

Example A:

If the measure of the exterior angle is (3x - 10) degrees, and the measure of the two remote interior angles are 25 degrees and (x + 15) degrees, find x.

First example of finding an exterior angle

To solve, we use the fact that W = X + Y. Note that here I'm referring to the angles W, X, and Y as shown in the first image of this lesson. Their names are not important. What is important is that an exterior angle equals the sum of the remote interior angles.

6 0
3 years ago
7(x+2)+3(x+5)=14(x+1)+2
shtirl [24]

7x + 14 + 3x + 15 = 14x + 14 + 2 10x + 14 = 14x + 16 14 - 16 = 14x - 10x -2 = 4x X = - 2/4 X = - 1/2 OR X = - 0.5

8 0
3 years ago
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A bracelet is exactly 6.97 cm across from one side to the other, through the center. What is the approximate area of the bracele
Vadim26 [7]

Answer:

≈ 38.14 cm²

Step-by-step explanation:

Diameter of circle= 6.97 cm

Area of circle = ?

  • Area = πr² = πd²/4 =
  • 3.14*(6.97)²/4 ≈ 38.14 cm²
3 0
3 years ago
4294 divided by 68
Nataly_w [17]

Answer:

1. 63.1. 2.22.5 3. 74.3 4. 56.1

8 0
3 years ago
Help me plz..........
vekshin1

Answer:

The answer to your question is the third option

6 0
2 years ago
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