Given:
The figure of a rhombus.
To find:
The value of x.
Solution:
We know that, if two lines intersect each other, then the vertically opposite angles are equal.
From the given figure it is clear that the diagonals intersect each other and construct two pairs of vertically opposite angles.
Since and
are vertically opposite angles, therefore
Hence, the value of x is 95°.
Answer:
The probability that the pair consists of a female junior and a male sophomore is 0.096
Step-by-step explanation:
No of male juniors=4
No of female juniors=10-4=6
No of female sophomores=5
No of male sophomores=13-5=8
As per question,
Probability that the pair consists of a female junior and
a male sophomore ==0.096
Therefore, the probability that the pair consists of a female junior and a male sophomore is 0.096
Answer:
12x -y = -87
Step-by-step explanation:
You can start with the 2-point form of the equation of a line and manipulate it to give you the standard form.
y = (y2 -y1)/(x2 -x1)(x -x1) +y1
y = (-9 -3)/(-8 -(-7))(x -(-7)) +3
y = (-12/-1)(x +7) +3
y = 12x +84 +3
-12x +y = 87 . . . . . subtract the x-term
12x -y = -87 . . . . . . make the leading coefficient positive (per standard form)
