Applying the Pythagorean theorem, the missing lengths in the right triangles are:
1. √19 ≈ 4.4
2. √96 ≈ 9.8
3. √60 ≈ 7.7
4. √231 ≈ 15.2
5. √21 ≈ 4.6
6. √24 ≈ 4.9
<h3>What is the Pythagorean Theorem?</h3>
The Pythagorean theorem is a formula that can be used to find the leg of a right triangle, and is given as: c² = a² + b², where a and b are the smaller legs and c is the longest leg/hypotenuse.
1. missing leg = √(10² - 9²) = √19 ≈ 4.4
2. missing leg = √(11² - 5²) = √96 ≈ 9.8
3. missing leg = √(8² - 2²) = √60 ≈ 7.7
4. missing leg = √(16² - 5²) = √231 ≈ 15.2
5. missing leg = √(5² - 2²) = √21 ≈ 4.6
6. missing leg = √(7² - 5²) = √24 ≈ 4.9
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Law of Detachment
If p then q. Given p is true. Conclude q is true.
In this problem, "if p then q" is "If a figure is a triangle, the sum of the figure's interior angles is 180."
Then you are told p is true. In this problem that is "<span>Figure ABC is a triangle."
You can now conclude that q is true.
In this problem, q is "</span><span>the sum of the interior angles of ABC is 180"
Answer: Option A.
</span>
Answer:
slope = - 3
Step-by-step explanation:
Calculate the slope m using the slope formula
m = 
with (x₁, y₁ ) = (- 6, 6) and (x₂, y₂ ) = (- 3, - 3)
m =
=
=
= - 3
About 2 feet and 2 inches
Answer:
The slope of a line parallel to this line will be: -7/9
The slope of the perpendicular line will be:

Step-by-step explanation:
We know the slope-intercept form

Here,
Given the equation

simplifying to write in the lope-intercept form

Thus, the slope of the line is: -7/9
The slope of a line parallel to the line:
We have already determined that the slope of the line is: -7/9
- We know that the parallel lines have the same slope.
Thus, the slope of a line parallel to this line will be: -7/9
The slope of a line perpendicular to the line:
We have already determined that the slope of the line is: -7/9
As we know that the slope of the perpendicular line is basically the negative reciprocal of the slope of the line.
Thus, the slope of the perpendicular line will be:
