Answer:
Z =7
Step-by-step explanation:
The middle segment theorem of a triangle says that: A middle segment connecting two sides of a triangle is parallel to the third side and is half its length.
In this case, the middle segment connecting two sides of a triangle is Z.
This means that
Finally we have that:
The length of the middle segment is 7 units
Answer:
25-7
Step-by-step explanation:
"Substitute for": Replace x with ____
Since it is given that x = 25 -y, we can replace the x in 5x + y = 10 with 25 - y by the substitution property of equality.
Answer:
x = 22
Step-by-step explanation:
The figure is attached below.
Its given that SV is parallel to RU. We have to find the value of x.
Observe that, if we join point V to U, we will obtain a parallelogram RSVU. One of the properties of a parallelogram is that the sum of its two adjacent angles is always 180 degrees.
So, the two adjacent angles would be: ∠S and ∠R
From the figure:
∠S = 5x + 4
∠R = 44 + x
Since,
∠S + ∠R must be 180 degrees, we can write:
∠S + ∠R = 180
5x + 4 + 44 + x = 180
6x + 48 = 180
6x = 132
x = 22
Therefore, the value of x is 22.
Answer:
Volume: x(x+6)(x+2) Area: + 8x +12
Step-by-step explanation:
Volume Explanation:
To find the volume of a 3d figure, we must multiply the length, width, and the height. Therefore we multiply (x)(x+6)(x+2)= + 8 + 12x. Simplify this equation and we will get x(x+6)(x+2) for the formula to find the volume of the 3D figure.
Area:
To find the area of a 2D figure, we must multiply length x height. Therefore, we multiply the equations (x+6)(x+2)= to get a final answer of . This will be the formula when you find the area of the 2D figure in question.
FK+M=A-UK
FK-UK=A-M
(F-U)K=A-M
K=(A-M)/(F-U)