It's true, assuming that angles 1 and 2 are are at the intersection of line t and l/m
Answer:
11/29
Step-by-step explanation:
Answer:
The value of x is 5.
Step-by-step explanation:
Label the diagram such as
Given:
AD= x
DB= x +5
AE = x - 2
EC = x + 1
DE || BC
To Find:
x = ?
Solution:
Basic Proportionality Theorem:
"If a line is drawn parallel to one side of a triangle to intersect the other two sides in distinct points, the other two sides are divided in the same ratio".
DE || BC
∴
...Basic Proportionality Theorem
Substituting the values in it we get
![\dfrac{x}{x+5}= \dfrac{x-2}{x+1}\\x(x+1)=(x+5)(x-2)\\\\x^{2}+x= x^{2}+3x-10\\ -2x=-10\\\\x=\dfrac{10}{2}=5\\ \\\therefore x =5](https://tex.z-dn.net/?f=%5Cdfrac%7Bx%7D%7Bx%2B5%7D%3D%20%5Cdfrac%7Bx-2%7D%7Bx%2B1%7D%5C%5Cx%28x%2B1%29%3D%28x%2B5%29%28x-2%29%5C%5C%5C%5Cx%5E%7B2%7D%2Bx%3D%20x%5E%7B2%7D%2B3x-10%5C%5C%20%20-2x%3D-10%5C%5C%5C%5Cx%3D%5Cdfrac%7B10%7D%7B2%7D%3D5%5C%5C%20%5C%5C%5Ctherefore%20x%20%3D5)
The value of x is 5.
Answer:
2 19/24 feet
Step-by-step explanation:
14 5/8 = 14 15/24
17 5/12 = 17 10/24 ==> 16 34/24
16 - 14 = 2
34/24 - 15/24 = 19/24
Answer = 2 19/24 feet
Hope this helps!
-The Business Man