Answer:
x=75
Step-by-step explanation:
We can use proportions to solve this problem. Put the side of the small triangle over the side of the large triangle.
42 50
------ = ----------
42+63 50+x
42 50
------ = ----------
105 50+x
Using cross products
42(50+x) = 50*(105)
2100+42x = 5250
Subtract 2100 from each side
2100-2100+42x = 5250-2100
42x =3150
Divide by 42
42x/42 = 3150/42
x = 75
Answer:
Pre image of B' is B
Step-by-step explanation:
Given:
ABC is a triangle
A transformation is done on ABC so that the image is A'B'C'.
Note that transformations are of various types such as dilation, vertical shift, horizontal shift, rotation about a point, reflection on a line, etc.
In any type of transformation, corresponding vertices will be matched. In other words, A will become A', B will become B' and C will become C'.
Because of the property of the transformation to keep images similar and also transforming correspondingly the vertices we get preimage of B' would be nothing but B itself.
A. Judy made a mistake between Steps 1 and 2
To factor
, you have to factor it as
, not
, because that will leave an extra 6x because of 8x - 2x.
-4x + 2x = -2x
6 + 5 = 11
Therefore, 11 - 2x = 0
11 = 2x
x = 11/2 = 5.5
Multiply both sides by 2.3, ( tan 6° x 2.3 = f )
Regroup terms, 2.3 tan 6 = f.
F = 2.3 tan 6°
So the answer is tan 6 = tan 6 I think
