1. Sry, I am confused by this one
2. Positive Integer factors of 196 = 2, 4, 7, 28, 196/2, 2, 7, 7, leaves it with no remainder.
3. Neither
4. Prime
5. Composite
6. 80, 96, 112 (pattern: add 16 each time)
7. 29, 36, 38 (pattern: add 7, add 2 and so on)
Hope this helped!!
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Answer:
b. not similar
Step-by-step explanation:
The given sides* have the ratio 30:39 = 10:13 in one triangle and the ratio 20:27 = 10:13.5 in the other triangle. Since these ratios are different, the triangles cannot be similar.
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* These are the sides bracketing the vertical angles at T. If the triangles were similar, the three sides would have to have the ratios 10 : 13 : 13.5.
However, the geometry shown would require that the angle opposite side 13.5 in one triangle have the same measure as the angle opposite side 13 in the other triangle. That is not possible, so it is not possible for these triangles to be similar.
Use trigonometry.
tan30° = perpendicular / base
Here for angle 30° , x is perpendicular while 10 is the base.
tan30° = 1/√3
1/√3 = x/10
x = 10/✓3
By rationalising
x = 10√3/3
Hope This Helps You!
