Answer:
65°
Step-by-step explanation:
JM = JK (all sides of a rhombus are equal)
Angle JKM = 25° (isosceles triangle)
Angle JKL = 50° (consecutive angles of rhombus)
Angle MKL = 25° (angle subtraction)
Angle MLK = 130° (opposite angles of a rhombus)
Angle KLN = 50° (angles on a straight line)
Angle LKN = 40° (angle sum of triangle)
Angle MKN = 65° (angle addition)
Answer:
x
8
−
256
Rewrite
x
8
as
(
x
4
)
2
.
(
x
4
)
2
−
256
Rewrite
256
as
16
2
.
(
x
4
)
2
−
16
2
Since both terms are perfect squares, factor using the difference of squares formula,
a
2
−
b
2
=
(
a
+
b
)
(
a
−
b
)
where
a
=
x
4
and
b
=
16
.
(
x
4
+
16
)
(
x
4
−
16
)
Simplify.
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(
x
4
+
16
)
(
x
2
+
4
)
(
x
+
2
)
(
x
−
2
)
Step-by-step explanation:
Answers:
a. -80
b. -60
c. 98
d. -54
Answer:
The area of the given triangle ABC is 10 units.
Step-by-step explanation:
we have the area of the triangle when points are given is given by the relation
Area of triangle=
and hence putting the Value
triangle = 1/2*( -2*(-2+2)+2*(-2-3)+(-2)*(3+2))
= 1/2*(0+2*(-5)+(-2)*5)
= 1/2*(-10-10)
= 1/2*(-20)
= (-10) units
Since area of the triangle is always positive, we neglect the minus sign and take 10 units as its area.