Choose a counterexample that proves that the conjecture below is false.. abc is a right triangle, so angle A measures 90 degrees.
Answer: Out of all the options shown above the one that represents the counterexample that proves that the conjecture presented above is false is answer choice 2. Angle b is 90 degrees. The reason being that in a right angle there is only one angle that measures 90 degrees.
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Answer:
4
Step-by-step explanation:
We need to find the factors of each number
28 -
1x28
2x14
4x7
60 -
1x60
2x30
3x20
4x15
5x12
6x10
then we need to find the largest number they have in common
in this case it is 4
(The answer is 12.082.) Juan used 12.082 meters of rope.
The answer is -3x^2+10xy+8y^2
Answer:
x = 4√5
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtraction Property of Equality<u>
</u>
<u>Trigonometry</u>
[Right Triangles Only] Pythagorean Theorem: a² + b² = c²
- a is a leg
- b is another leg
- c is the hypotenuse<u>
</u>
Step-by-step explanation:
<u>Step 1: Define</u>
Leg <em>a</em> = 8
Leg <em>b</em> = 4
Hypotenuse <em>c</em> = <em>x</em>
<em />
<u>Step 2: Solve for </u><em><u>x</u></em>
- Substitute in variables [Pythagorean Theorem]: 8² + 4² = x²
- Evaluate exponents: 64 + 16 = x²
- Add: 80 = x²
- [Equality Property] Square root both sides: √80 = x
- Rewrite: x = √80
- Simplify: x = 4√5
