Answer:
C. 15.6
Step-by-step explanation:
Perimeter of WXYZ = WX + XY + YZ + ZW
Use the distance formula,
to calculate the length of each segment.
✔️Distance between W(-1, 1) and X(1, 2):
Let,


Plug in the values





✔️Distance between X(1, 2) and Y(2, -4)
Let,


Plug in the values





✔️Distance between Y(2, -4) and Z(-2, -1)
Let,


Plug in the values





✔️Distance between Z(-2, -1) and W(-1, 1)
Let,


Plug in the values





✅Perimeter = 2.24 + 6.08 + 5 + 2.24 = 15.56
≈ 15.6
Answer:
88% of his weight remains
You would multiply the sales regular price by the percent and then subtract your answer from the regular sale price. For example, if something cost $499 and the sales price was 15% off, you would multiply 499 by 0.15 and then you would get 74.85.
Answer:
Option (4). Rhombus
Step-by-step explanation:
From the figure attached,
Distance AB = 
= 
= 
= 
Distance BC = 
= 
= 
Distance CD = 
= 
= 
Distance AD = 
= 
= 
Slope of AB (
) = 
= 
= 
Slope of BC (
) = 
= 
If AB and BC are perpendicular then,

But it's not true.
[
= -
]
It shows that the consecutive sides of the quadrilateral are not perpendicular.
Therefore, ABCD is neither square nor a rectangle.
Slope of diagonal BD =
= Not defined (parallel to y-axis)
Slope of diagonal AC =
= 0 [parallel to x-axis]
Therefore, both the diagonals AC and BD will be perpendicular.
And the quadrilateral formed by the given points will be a rhombus.
Answer:
In the classroom there are 16 girls and 20 boys
Step-by-step explanation:
The question in English is
In the ninth grade, 62.5% of girls and 80% of boys passed the mathematics course, while 87.5% of girls and 60% of boys passed the history course. Calculate the number of students in the classroom, if the total number of passes is 26 in both subjects
Let
x ----> total girls in the classroom
y ---> total boys in the classroom
we know that
mathematics course
-----> equation A
history course
----> equation B
Solve the system of equations by graphing
Remember that the solution is the intersection point both graphs
using a graphing tool
The solution is the point (16,20)
see the attached figure
therefore
In the classroom there are 16 girls and 20 boys