29.25 divided by 9 is 3.25. You have to take the total amount of money he made $29.25 and divide it by the amount he gets every hour $9. So 29.25 divided by 9 is 3.25 or 3 hours and 15 minutes.
The value of x - coordinate is 14.4
<em><u>Solution:</u></em>
Given that we have to find the x -coordinate of the system
<em><u>Given system of equations are:</u></em>
2x + 3y = 144 -------- eqn 1
y - x = 24 --------- eqn 2
Solve the above system of equations to find the x - coordinate
From eqn 2,
y = 24 + x ------- eqn 3
Substitute eqn 3 in eqn 1
2x + 3(24 + x) = 144
2x + 72 + 3x = 144
Add the like terms
5x + 72 = 144
5x = 144 - 72
5x = 72
Divide 72 by 5
x = 14.4
Thus the x - coordinate of the system is 14.4
<h2>
a) Select all that apply</h2>
<em> are each perpendicular to the line of reflection</em>
<em></em>
This option is the only one that is correct. The line of reflection is 
. When we talk about reflection, we are talking about reflecting across a line, or axis. Reflecting a shape means looking at the mirror image on the other side of the axis. So in this case, this mirror is the line of reflection. As you can see, these three segments <em> </em>form a right angle at the point each segment intersects the line .
<h2>
b) Find each length</h2>
Since the line is an axis that allows to get a mirror image, therefore it is true that:
To find those values 
, count the number of units you get from the point S to L, which is 3 units. Do the same to find 
but from the point T to M, which is 6 units and finally, for 
but from the point U to N, which is 4 units. Therefore:
<h2>
c) Correct Statement</h2>
<em>The line of reflection is the perpendicular bisector of each segment joining a point and its image. </em>
<em />
A bisector is the line dividing something into two equal parts. In this case, the line of reflection divides each segment into two equal parts and is perpendicular because this line form a right angle with each segment. As we demonstrated in a) each segment is perpendicular to the line of reflection, so the first statement is false. On the other hand, each side of the original triangle is not perpendicular to its image and this is obvious when taking a look at the figure. Finally, as we said the line of reflection is perpendicular to each of the mentioned segments, so they can't be parallel as established in the last statement.
Answer:
The answer is D
Step-by-step explanation:
the standard equation for circle is (x －h)² ＋(y －k)² = r² which h is the x coordinate, k is the y coordinate, r is radius. In this case, both x coordinate and y coordinate are 0, so the left side of the equation is x² + y², since the radius is √249, the r² is 249. So the equation is x² + y² = 249, and the answer is D.
Hope this will help❤️
If if y=6 and z=1 then the equation would be 1+6(2) and that ends up to be 13
