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2 years ago

Triangle angle sum theorem What is the value of p?

Mathematics

1 answer:

monitta2 years ago

8 0

The angle sum property of triangle states that the sum of all angles of a triangle should be equal to 180°...

According to this theorem,

$\sf54 + p-20 + p-48 = 180$

$\sf \: -14 + 2p = 180$

$\sf \: 2p = 180 +14$

$\sf \: 2p = 194$

$\sf \: p=97$

The value of p is 97...

Now, Let's find the value of all angles with the help of value of p

Angle 1 = 54°
Angle 2 = p-48 = 97-48 = 49°
Angle 3 = p-20 = 97-20 = 77°

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svetlana [45]

Answer: (x^2)/16 + (y^2)/25 = 1

Step-by-step explanation:

According to the problem we can figure out that the center of the ellipse is (0,0).

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If we put this into the equation a^2=b^2 + c^2, we get 25=9+ b^2

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2 years ago

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It’s A I got it right

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3 years ago

First come first served brainiest:)

adoni [48]

Answer:

1. Not proportional 2. is proportional. For 3, 4, 5, and 6 just plot them.

Step-by-step explanation:

For 1, y intercept/x intercept is not 0 when you graph, thus not proportional. Number 2 is, thus proportional. For 3, 4, 5, and 6 you would plot them accordingly. So for (-5, -2) Start as 0,0 and go 5 to the left as it's negative, and 2 down as it is also negative. Do the same for others.

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2 years ago

3. Solve the inequality –2(z + 5) + 20 > 6.

12345 [234]

$\boxed{-2\left(z+5\right)+20>6\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:z$

Solution:

Given inequality is:

$-2(z+5)+20>6$

We have to solve the given inequality

$-2\left(z+5\right)+20>6\\\\\mathrm{Subtract\:}20\mathrm{\:from\:both\:sides}\\\\-2\left(z+5\right)+20-20>6-20\\\\\mathrm{Simplify}\\\\-2\left(z+5\right)>-14$