Answer:
Coordinates of vertices of rectangle A B CD are A(1,11), B(3,1).
Equation of line AB is


⇒y-1=-5(x-3)
⇒y-1= -5 x+15
⇒y+ 5 x=1+15
⇒y+5 x=16→[ Equation of line that contains line segment AB]
Equation of line perpendicular to AB is
x- 5 y +k=0
Since it passes through A(1,11).
1-5×11+k=0
1-55+k=0
k-54=0
k=54
So equation of AB is
x-5 y+ 54=0
So equation of line, containing line segment AD is
→x-5 y+54=0
Answer:
The number that belongs <em>in</em> the green box is equal to 909.
General Formulas and Concepts:
<u>Algebra I</u>
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtraction Property of Equality
<u>Trigonometry</u>
[<em>Right Triangles Only</em>] Pythagorean Theorem:

- a is a leg
- b is another leg
- c is the hypotenuse
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify given variables</em>.
<em>a</em> = 30
<em>b</em> = 3
<em>c</em> = <em>x</em>
<em />
<u>Step 2: Find </u><u><em>x</em></u>
Let's solve for the <em>general</em> equation that allows us to find the hypotenuse:
- [Pythagorean Theorem] Square root both sides [Equality Property]:

Now that we have the <em>formula</em> to solve for the hypotenuse, let's figure out what <em>x</em> is equal to:
- [Equation] <em>Substitute</em> in variables:

- <em>Evaluate</em>:

∴ the hypotenuse length <em>x</em> is equal to √909 and the number <em>under</em> the square root, our answer, is equal to 909.
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Learn more about Trigonometry: brainly.com/question/27707750
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Topic: Trigonometry
2x+4=y
X being the number of bananas that Tommy eats.
The longest straight line that can be drawn between any two points of a square is the one that includes the points on the opposite corners of the squares. To determine the length of this straight line, we must first determine the length of the square's side. Since the area of the square can be calculated by taking the square of the side, then
s^2 = 72
s = 6 sqrt(2)
Then, using the Pythagorean theorem, we will find c (the longest side of straight line of the square)
c^2 = a^2 + b^2
Upon substitution of the length of the square's side, we have
c^2 = (6 sqrt(2))^2 + (6 sqrt(2))^2
c^2 = 72+72
c = 72
The length of the longest line is 72.
Its 0.343 because it cannot be expressed as a fraction or whole number