x = 8
Solution:
Side-splitter theorem:
<em>If a line is parallel to one side of a triangle and the line intersects the other two sides, then this line divides those two sides proportionally.</em>
![$\Rightarrow\frac{4}{21} =\frac{x}{42}](https://tex.z-dn.net/?f=%24%5CRightarrow%5Cfrac%7B4%7D%7B21%7D%20%3D%5Cfrac%7Bx%7D%7B42%7D)
Do cross multiplication, we get
⇒ 4 × 42 = 21x
Divide by 21 on both sides, we get
⇒ 4 × 2 = x
⇒ 8 = x
Switch the sides.
⇒ x = 8
The value of x is 8.
Answer:
45
Step-by-step explanation:
n/15=30
therefore n=450
hence n/10 = 45
Answer:
Yes
Step-by-step explanation:
For lines to be parallel alternate interior angles should be equal
Angle GHD=180-angle FHD
=180-115 = 65°
Therefore angle AGH = angle GHD
So lines are parallel
a=p/4 x itself
p/4 is one side, since it is a square you would multiply that number by itself