Answer:
1, 2 and 4 option - Yes
3 option - No
Step-by-step explanation:
<u>Definition: </u>Vertical angles are the angles opposite each other when two lines cross.
By the definition options
- they are formed by intersecting lines,
- they are opposite to each other
are true.
Vertical Angles Theorem states that vertical angles are congruent. Thus, option
is true.
Option
- they are always supplementary
is false, because supplementary are angles that add up to 180°, but vertical angles can have different measures which do not add up to 180°.
Answer:
Original price = $60
Step-by-step explanation:
42 / 70 =0.6
0.6 x 100 = 60
The <em>algebraic</em> expression
is equivalent to the <em>algebraic</em> expression
. Thus, the right choice is option D.
<h3>How to apply power and root properties to rewrite a given expression</h3>
In this question we must apply the following set of <em>algebraic</em> properties to simplify a given expression:
(1)
(2)
(3)
Where:
- <em>m</em>, <em>n</em> - Exponents
- <em>x</em> - Base
And also by apply the definition of power.
If we know that the given expression is
, then the equivalent expression is:
![x^{10/3} = \sqrt[3]{x^{10}} = \sqrt[3]{x^{9}\cdot x} = \sqrt[3]{x^{9}}\cdot \sqrt[3]{x} = x^{3}\cdot \sqrt[3]{x}](https://tex.z-dn.net/?f=x%5E%7B10%2F3%7D%20%3D%20%5Csqrt%5B3%5D%7Bx%5E%7B10%7D%7D%20%3D%20%5Csqrt%5B3%5D%7Bx%5E%7B9%7D%5Ccdot%20x%7D%20%3D%20%5Csqrt%5B3%5D%7Bx%5E%7B9%7D%7D%5Ccdot%20%5Csqrt%5B3%5D%7Bx%7D%20%3D%20x%5E%7B3%7D%5Ccdot%20%5Csqrt%5B3%5D%7Bx%7D)
The <em>algebraic</em> expression
is equivalent to the <em>algebraic</em> expression
. Thus, the right choice is option D.
To learn more on roots, we kindly invite to check this verified question: brainly.com/question/1527773
Chuy planned on saving $55 a week at the rate hes going he would of saved up in less then 25 weeks he would of needed to save atleast $50 per week to meet his goal