find the three consecutive integers such as the sum of the first and third is 49 less than three times the second

The area of one of the triangles on the face of the cupboard is A = 13 8/9 inches²

What is a Triangle?

A triangle is a plane figure or polygon with three sides and three angles.

A Triangle has three vertices and the sum of the interior angles add up to 180°

Let the Triangle be ΔABC , such that

∠A + ∠B + ∠C = 180°

The area of the triangle = ( 1/2 ) x Length x Base

For a right angle triangle

From the Pythagoras Theorem , The hypotenuse² = base² + height²

if a² + b² = c² , it is a right triangle

if a² + b² < c² , it is an obtuse triangle

if a² + b² > c² , it is an acute triangle

Given data ,

Let the triangle be represented as ΔABC

Now , the height of the triangle is h = 16 2/3 inches

The base of the triangle is b = 16 2/3 inches

So , area of the triangle = ( 1/2 ) x Length x Base

On simplifying , we get

So , the total area of the cupboard C = 250/9

A = ( 1/2 ) x 250/9

A = 125/9 inches²

Hence , the area of the triangle is A = 125/9 inches² = 13 8/9 inches²

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Answer:

y + 4 = -3(x + 1)

Step-by-step explanation:

point-slope form : y - y2 = m (x - x2)

In this case m = -3 and x2 = -1, y2 = -4

So

The equation in point-slope form

y + 4 = -3(x + 1)

y = (-4/5)x + 4 is the  slope intercept form of the equation 4x+5y=20 .

To write the equation 4x + 5y = 20 in slope-intercept form (y = mx + b), where "m" represents the slope and "b" represents the y-intercept, we need to solve for "y."

Let's rearrange the equation step by step:

4x + 5y = 20

Subtract 4x from both sides to isolate the term with "y":

5y = -4x + 20

Divide both sides by 5 to isolate "y" and obtain its coefficient:

y = (-4/5)x + 4

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