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Dvinal [7]
3 years ago
9

Two angles form a linear pair. The measure of one angle is 1/3 of the other angle. Find the measure if each angle

Mathematics
1 answer:
sdas [7]3 years ago
5 0

Answer:

<em>The measure of the angles is 45° and 135°</em>

Step-by-step explanation:

When two lines intersect, a linear pair of angles is formed. Two angles are said to be linear if they are adjacent, so a linear pair of angles must add up to 180 degrees.

Let's call x and y the two required angles. Knowing they form a linear pair:

x+y=180

We also know one angle is 1/3 of the other angle, thus:

x=y/3

Or, equivalently:

3x=y

Substituting y into the first equation:

x+3x=180

Simplifying:

4x=180

Solving:

x=180/4=45

The other angle is:

y=3x=3\cdot 45=135

Thus the measure of the angles is 45° and 135°

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use angle properties of triangle to solve this.

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ZEFG and ZGFH are a linear pair, mZEFG = 3n+ 21, and mZGFH = 2n + 34. What are mZEFG and mZGFH?
marysya [2.9K]

Answer:

The answer is below

Step-by-step explanation:

∠EFG and ∠GFH are a linear pair, m∠EFG = 3n+ 21, and m∠GFH = 2n + 34. What are m∠EFG and m∠GFH?

Solution:

Two angles are said to form a linear pair if they share a base. Linear pair angles are adjacent angles formed along a line as a result of the intersection of two lines. Linear pairs are always supplementary (that is they add up to 180°).

m∠EFG = 3n + 21, m∠GFH = 2n + 34. Both angles form linear pairs, hence:

m∠EFG + m∠GFH = 180°

3n + 21 + (2n + 34) = 180

3n + 2n + 21 + 34 = 180

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5n = 125

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Therefore, m∠EFG = 3(25) + 21 = 96°, m∠GFH = 2(25) + 34 = 84°

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3 years ago
K= 1/2mv^2<br> Solve for V
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Hi there!

v = ±\sqrt{\frac{2K}{m} }

- - - - - - - - -

K = 1/2mv²

Isolate for the variable "v". We can begin by dividing both sides by 1/2. (Multiply by the reciprocal, or 2):

2 · K = 2 · (1/2mv²)

2K = mv²

Continue isolating by dividing both sides by "m":

2K / m = v²

Take the square root of both sides. Remember that the solution can either be positive or negative since there are positive and negative roots.

v = ±\sqrt{\frac{2K}{m} }

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Answer:

Looking at the example Alana will walk. 15.23 miles in two days

step-by-step explanation:

Looking at the example and using place value system

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96 ! If you get x on one side and the # on the other you get x=96
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