Answer:
C
Step-by-step explanation:
Notice that there is a little triangle formed by the lines on the right side of the diagram.
Let's find the angle measures of the triangle. One of them has a supplementary angle of 96 degrees, which means that the actual interior angle is 180 - 96 = 84 degrees.
Another angle has a supplementary angle of 137, which means that the actual interior angle of the triangle is 180 - 137 = 43 degrees.
Finally, we have the expression 2x - 23, which is an exterior angle. By definition, this exterior angle is equal to the sum of the interior angles of the triangle that do not include its supplementary angle. In other words:
2x - 23 = 84 + 43
Now we just solve for x:
2x - 23 = 84 + 43 = 127
2x = 127 + 23 = 150
x = 150/2 = 75 degrees
The answer is 75 degrees, or C.
The percentage of the average yearly wage is 7.53%.
<h3>What are percentages?</h3>
Percentage can be described as a fraction of an amount that is usually expressed as a number out of hundred.
<h3>What is the percentage of the average yearly wage?</h3>
Percent = (amount spent on family holiday / total yearly wage) x 100
(1644 / 21842) x 100 = 7.53%
To learn more about percentages, please check: brainly.com/question/25764815
The answer is x is less than 2
Answer:
The roots of the equation are
<h3>- 4 and 4</h3>
Step-by-step explanation:
First rewrite the expression
That's
x² - 16
16 = 4²
So we have
x² - 4² = 0
Using the identity
<h3>a² - b² = (a + b)(a - b)</h3>
Rewrite the expression
So we have
x² - 4² = 0 is
( x + 4)( x - 4) = 0
x + 4 = 0 x - 4 = 0
x = - 4 x = 4
The roots of the equation are
- 4 and 4
Hope this helps you
Answer:
A. 
Step-by-step explanation:
Radius:
The length of diameter
is the distance between A and B.
Centre:
Since A and B are end points of the diameter, centre is the mid point of these two. Let 
be the centre of the circle.
Centre is 
Equation of circle:
If 
is the centre of the circle and 
be the radius. Equation of circle is given by:
