Answer:
n = 5
Step-by-step explanation:
Coordinate of P = (n,3)
R is on y-axis & the y-coordinate of P & R are equal. So coordinate of R = (3,0)
Coordinate of Q = (n,-2)
Using distance formula,
Distance between P & Q =
Distance between P & R =
But in question it is given that distance between P & Q is equal to the distance between P & R. So,
Answer:
58
Step-by-step explanation:
First, draw out your triangle on a piece of paper, and label each point w, x, and y
We are then told that side wx and yw are similar. This means that we have an isosceles triangle with two similar sides.
We are also told that angle w is equal to 64 degrees
with this information, we can assume that angle y is the same as angle x
Another important thing to note is that all triangle measures equals to 180
SO
we can make this expression:
64 + x + x = 180
Now to solve for x:
64 + x + x = 180
64 + 2x = 180
2x = 116
x = 58
The formula to find the perimeter of a rectangle is P= 2(l+w). By substituting what we now knowin to the equation:
•42=2(l+(2/5l)). We can have width represented at (2/5l) because it’s now 2/5 of the length. Now add them together to get a single coefficient for l.
•42= 2(7/5l). Multiplying 7/5 by 2.
42= (14/5l). Multiplying both sides by the reciprocal of 14/5, which is 5/14, to get l by itself.
•l= 15.
Now that we now know the value of l, we know that the length is 15m. To find the width of the answer, we then multiply 15 by 2/5, which equals 6. Therefore, the only third option is correct because the length is 15m and the width is 6m.
Hey there!
Distance formula:
d = 
Plug in variables:
d = 
Simplify.
d = 
d = 
The distance between the two points is units.
Hope this helps!
She paid $42 dollars in total.
