Answer:
true
Step-by-step explanation:
Triangle Proportionality Theorem - 'If a line is parallel to one side of a triangle and intersects the other two sides, then it divides the other two sides proportionally'. Hence, the given statement is true
Answer:
B is the answer
Step-by-step explanation:
Since there is already a 90 degree angle in the right triangle, the other two angles must add up to 90.
![3x + 6 + 2x - 1 = 90](https://tex.z-dn.net/?f=3x%20%2B%206%20%2B%202x%20-%201%20%3D%2090)
![5x + 5 = 90](https://tex.z-dn.net/?f=5x%20%2B%205%20%3D%2090)
![5x = 85](https://tex.z-dn.net/?f=5x%20%20%3D%2085)
![x = 17](https://tex.z-dn.net/?f=x%20%3D%2017)
Plug 17 into both to find the smaller angle
![3(17) + 6 = 57](https://tex.z-dn.net/?f=3%2817%29%20%2B%206%20%3D%2057)
![2(17) - 1 = 33](https://tex.z-dn.net/?f=2%2817%29%20-%201%20%3D%2033)
![33 < 57](https://tex.z-dn.net/?f=33%20%3C%2057)
So 33 is the answer or B
Answer:
x = 2
Step-by-step explanation:
x + 5 = 2x + 3 ( subtract x from both sides )
5 = x + 3 ( subtract 3 from both sides )
2 = x
Answer:
b = - ![\frac{12}{5}](https://tex.z-dn.net/?f=%5Cfrac%7B12%7D%7B5%7D)
Step-by-step explanation:
Given
5(b + 6) = 18 ← distribute left side
5b + 30 = 18 ( subtract 30 from both sides )
5b = - 12 ( divide both sides by 5 )
b = -
= - 2.4