Answer:
The coordinates of the midpoint are;
(-6.5, -3)
Step-by-step explanation:
Here, we want to get the midpoint of the line segment
To get this, we use the midpoint formula;
(x,y) = (x1 + x2)/2, (y1 + y2)/2
Thus;
(x,y) = (8 - 21)/2, (-10 + 4)/2
(x,y) = -13/2 , -6/2
(x,y) = (-6.5 , -3)
4
)
10(x+6)+8(x−3)=5(5x−4)
2 Expand.
10
x
+
60
+
8
x
−
24
=
25
x
−
20
10x+60+8x−24=25x−20
3 Simplify
10
x
+
60
+
8
x
−
24
10x+60+8x−24 to
18
x
+
36
18x+36.
18
x
+
36
=
25
x
−
20
18x+36=25x−20
4 Subtract
18
x
18x from both sides.
36
=
25
x
−
20
−
18
x
36=25x−20−18x
5 Simplify
25
x
−
20
−
18
x
25x−20−18x to
7
x
−
20
7x−20.
36
=
7
x
−
20
36=7x−20
6 Add
20
20 to both sides.
36
+
20
=
7
x
36+20=7x
7 Simplify
36
+
20
36+20 to
56
56.
56
=
7
x
56=7x
8 Divide both sides by
7
7.
56
7
=
x
7
56
=x
9 Simplify
56
7
7
56
to
8
8.
8
=
x
8=x
10 Switch sides.
x
=
8
x=8
Your answer is
X=8
Here, trapezoid is composed of two triangles, and one rectangle.
So, Area of rectangle = 4 * 7 = 28 cm²
Area of a triangle = 1/2 * 3 * 7 = 21/2 = 10.5 cm²
Area of Trapezoid = area of rectangle + 2(area of triangle)
= 28 + 2(10.5)
= 28 + 21 = 49
In short, Your Answer would be 49 cm²
Hope this helps!
Answer:
24km
Step-by-step explanation:
16/4 is 4 so you multiply that by 6 and you get 24. the equation is (16/4)*6