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anastassius [24]
2 years ago
11

Logx(x-3)=1 solve for x

Mathematics
1 answer:
faust18 [17]2 years ago
3 0
Answer: x = 0.41092426, 4.5252265
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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
What is the standard deviation of the data set given below?<br> 4,7, 8, 9, 12
larisa [96]

Answer:

I think 7

Step-by-step explanation:

4 , 8 , 9 and 12 has factors.

7 has no factor.

4= 2×2

8= 2×4

9= 3×3

12= 3×4

3 0
3 years ago
Help due now pleaseee
DENIUS [597]

Answer:

d

Step-by-step explanation:

base² + Altitude² = Hypotenuse²

 x² + 9² = 13²

x² + 81 = 169

       x² = 169 - 81

      x² = 88

      x = \sqrt{88}

     x = \sqrt{2*2*2*11}=2\sqrt{2*11}\\\\x=2\sqrt{22}

6 0
3 years ago
Read 2 more answers
PLEASE HELP MEEE!! THIS IS DUE IN THE NEXT 45 MINS PLEASEEE HELLPP :((
nikklg [1K]

They are all true None are false

3 0
3 years ago
C(a + b)- d = f, for a
Galina-37 [17]
Hopes this helps you out

3 0
3 years ago
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