Prove that p+q+r=180

Mathematics

1 answer:

allsm [11]3 years ago

7 0

If p=40; q=40 and r=100, p+q+r=180

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The equation line l is given by the equation y= 7/4x+3. line m goes through the point ( –1,4) and is perpendicular to line l whi

mr_godi [17]

We determine line m as follows:

*First, by theorem we have the following:

$m_1=-\frac{1}{m_2}$

Here m1 & m2 are the slopes of two perpendicular lines. For all lines that are perpendicular that is true, so we calculate the slope of line m using the slope of the function given [Which has a slope of 7/4]:

$m_1=-\frac{1}{\frac{7}{4}}\Rightarrow m_1=-\frac{4}{7}$

So, the slope of line m is -4/7. Now, using this slope and the point (-1, 4) we replace in the following expression:

$y-y_1=m_1(x-x_1)$

Here x1, y1 & m1 are the x-component of the point, the y-component of the point, and the slope of the line respectively, so we replace and solve for y:

$y-4=-\frac{4}{7}(x-(-1))\Rightarrow y-4=-\frac{4}{7}x-\frac{4}{7}$ $\Rightarrow y=-\frac{4}{7}x+\frac{24}{7}$

And that last function of y is the line m.

8 0

1 year ago

A grocery store is having a "buy 2 get 1 free" promotion on their six-pack cans of orange juice. If Mrs. VanCleave decides to ta

pashok25 [27]

Buys 2 gets 1 free okay so ..
Each pack has 6
She buys 6*2 = 12+ 6 because it’s the free pack it’ll be 18 cans per purchase
If she does this for 7 days (a week )
We will do 18 times 7

18*7 = 126 cans

Mrs. VanCleave will have 126 cans of orange juice.

(Can you make me the brainlist if this helps you ) thanks

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2 years ago

Which line is steeper, Bruce’s or Felicia’s? Whose slope is greater? Does this match the comparison from Part C?

Oksana_A [137]

Answer:

Bruce's line is steeper and his line is also greater,yes

Step-by-step explanation:

it should have looked like the screen shot