Answer:
option three!!!!!
Step-by-step explanation:
its closed circle
on 6
and pointing left
Answer:
3,000
Step-by-step explanation:
Find the number in the thousand place 2 and look one place to the right for the rounding digit 9
. Round up if this number is greater than or equal to 5 and round down if it is less than 5
.
Answer:
The correct options are;
1. Definition of supplementary angles
2. m∠1 + m∠2 = m∠1 + m∠3
3. m∠2 = m∠3
4. Definition of congruent angles
Step-by-step explanation:
The two column proof is presented as follows;
Statement
Reason
1. ∠1 and ∠2 are supplementary
Given
∠1 and ∠3 are supplementary
2. m∠1 + m∠2 = 180°
(1) Definition of supplementary angles
m∠1 + m∠3 = 180°
3. (2) m∠1 + m∠2 = m∠1 + m∠3
Transitive Property
4. (3) m∠2 = m∠3
Subtraction property of equality
5. ∠2 ≅ ∠3
(4) Definition of congruent angles
Given that angles ∠1 and ∠2 are supplementary, we have, ∠1 + ∠2 = 180°
Given that angles ∠1 and ∠3 are also supplementary, we also have, ∠1 + ∠3 = 180°
∴ ∠1 + ∠2 = 180° = ∠1 + ∠3
∠1 + ∠2 = ∠1 + ∠3
∠1 + ∠2 - ∠1 = ∠1 + ∠3 - ∠1
∴ ∠2 = ∠3
∴ ∠2 ≅ ∠3, by definition of congruent angles.
Answer:
(d) 1/√(s³)
Step-by-step explanation:
The expression can be simplified by making use of the rules of exponents.
<h3>Rules of exponents</h3>
The relevant rules are ...
![a^b\cdot a^c=a^{b+c}\\\\(a^b)^c=a^{bc}\\\\\left(\dfrac{a}{b}\right)^c=\dfrac{a^c}{b^c}\\\\a^{b/c}=\sqrt[c]{a^b}](https://tex.z-dn.net/?f=a%5Eb%5Ccdot%20a%5Ec%3Da%5E%7Bb%2Bc%7D%5C%5C%5C%5C%28a%5Eb%29%5Ec%3Da%5E%7Bbc%7D%5C%5C%5C%5C%5Cleft%28%5Cdfrac%7Ba%7D%7Bb%7D%5Cright%29%5Ec%3D%5Cdfrac%7Ba%5Ec%7D%7Bb%5Ec%7D%5C%5C%5C%5Ca%5E%7Bb%2Fc%7D%3D%5Csqrt%5Bc%5D%7Ba%5Eb%7D)
<h3>Application</h3>
The given expression can be simplified by applying these rules.

Answer:
Option D. y=6x
Step-by-step explanation:
we know that
A relationship between two variables, x, and y, represent a direct variation if it can be expressed in the form
or
In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin
<em>Verify each case</em>
case a) y=(1/6)x+6
Is a linear equation, but is not a direct variation. The line not passes through the origin
case b) y=6/x
The equation represent an inverse variation
case c) y=6x-6
Is a linear equation, but is not a direct variation. The line not passes through the origin
case d) y=6x
The equation represent a direct variation