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DENIUS [597]
3 years ago
10

50 POINTS! SHOW WORK OR ILL REPORT

Mathematics
2 answers:
Hatshy [7]3 years ago
6 0

Answer:

The larger angle <K, has a measure of 120 degrees.

Step-by-step explanation:

So, a supplementary angle are two or more angles that combine to form a 180 degree straight line.  So here, we need to set up an algebra equation.

2x = the larger angle (because it's two times the smaller angle)

x = the smaller angle

So then, you need to set both equal to 180 degrees, since combine they equal 180 degrees

2x + x = 180

3x = 180

x = 60

Using basic algebra, we see that the smaller angle is 60 degrees, but wee need to find the larger angle.  Remember, we represented the larger angle as 2x.  

2 time 60 is 120, so the larger angle is 120 degrees

Hope that helps :)

8_murik_8 [283]3 years ago
3 0
<h2>Answer:</h2>

<u>Let angle G be x, then angle K be 2x</u>

<u>We know that, sum of supplementary angle is 180°</u>.

So,

  • x + 2x = 180
  • 3x = 180
  • x = 180/3 = 60.

<u>Therefore, angle G measure 60° and angle K measure 120°</u>.

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When 5 times a number is added to 45 the answer is the sm of 85 and 140 what is the number
zimovet [89]

Hello.

First, let the number be r.

5 times r is written like this:

\rm{5r}

Now, add 45:

\mathrm{5r+45}

Now, the sum of 5r+45 is equal to the sum of 85 and 140:

\mathrm{5r+45=85+140}

In order to solve this equation, we need to add 85 and 140:

\mathrm{5r+45=225}

Now, subtract 45 from both sides:

\mathrm{5r+45-45=225-45}

\mathrm{5r=225-45}

\mathrm{5r=180}

The last step is to divide both sides by 5:

\mathrm{r=36}

Therefore, the answer is

\rm{r=36}

I hope it helps.

Have a nice day.

\boxed{imperturbability}

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natka813 [3]
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How many points on the graph represent a relative minimum? please help
Tasya [4]
<h3>Answer:  1</h3>

Point B is the only relative minimum here.

===========================================================

Explanation:

A relative minimum is a valley point, or lowest point, in a given neighborhood. Points to the left and right of the valley point must be larger than the relative min (or else you'd have some other lower point to negate its relative min-ness).

Point B is the only point that fits the description mentioned in the first paragraph. For a certain neighborhood, B is the lowest valley point so that's why we have a relative min here.

There's only 1 such valley point in this graph.

--------------

Side notes:

  • Points A and D are relative maximums since they are the highest point in their respective regions. They represent the highest peaks of their corresponding mountains.
  • Points A, C and E are x intercepts or roots. This is where the graph either touches the x axis or crosses the x axis.
  • The phrasing "a certain neighborhood" is admittedly vague. It depends on further context of the problem. There are multiple ways to set up a region or interval of points to consider. Though visually you can probably spot a relative min fairly quickly by just looking at the valley points.
  • If you have a possible relative min, look directly to the left and right of this point. if you can find a lower point, then the candidate point is <u>not</u> a relative min.
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