Uhmmmm is there a picture of the problem i’m confused
D is equivalent because brackets don’t change anything here
Use the Pythagorean Theorem of a² + b² = c² to solve for x.
x² + (x + 3)² = (√117)²
x² + x² + 6x + 9 = 117
2x² + 6x + 9 = 117
2x² + 6x + 9 - 117 = 0
2x² + 6x - 108 = 0
2x² + 18x - 12x - 108 = 0
2x(x + 9) - 12(x + 9) = 0
(2x - 12)(x + 9) = 0
x = - 9, 6
Length cannot be negative so you can't use - 9.
x = 6. Option C is your answer.
Answer:
The answer I got for this equation is x=5
I hope this image helps of showing you how to solve the equation.
Answer:
ΔABC and ΔXYZ are SIMILAR by SSS property of similarity.
Step-by-step explanation:
SSS Similarity Theorem:
Two triangles are said to be similar if their CORRESPONDING SIDES are proportional.
In ΔABC and ΔXYZ, if , then △ABC∼△YZX
Here, in ΔABC and ΔXYZ
AB = 9, BC = x , AC = 12
Similarly, XY = 3, YZ = 2, ZX = 4
Here,
⇒ Corresponding sides are in the ratio of 3, if BC =6 units
Hence, if BC = 6 units, then the ΔABC and ΔXYZ are SIMILAR by SSS property of similarity.