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.
Answer:
The side length is multiplied by 6.
Step-by-step explanation:
The area of a square is A = s². Suppose the side is 8 inches. This means the area is A = 8² = 64.
If you were to multiply by 36, then it becomes 64*36 = 2,304. Since squaring gave the area, it's side length would be found using the reverse operation a square root. Take the square root of 2,304.
√2304 = 48
The side length changed from 8 to 48 which is a scale factor of 6. This means 8 * 6 = 48.
Well, the numerator is the number on top, so in the fraction 3/5, 3 is the numerator. To find the equation with a denominator of 30 that is equivalent, find what the difference is. 30/5 = 6. So now, multiply the numerator by 6. 6 * 3 = 18. The new fraction is 18/30. The numerator is 18. Hope this helps!
The javelin will hit the ground 14.66 or 15 seconds upon Maria's release from the said distance. The computation are as follows:
time = distance/speed (d/m)
time = 22 meters/second / 1.5 meters
time = 14.66 seconds or 15 seconds
X = 45.
Since opposite exterior angles are congruent, you can set the 2 values equal to each other. When you solve for x, you should get 45.