Here is your answer
REASON :
AB//CD
So,
/_A=/_D ... (alternate int. angles)
/_B=/_C ... (alt. int. angles)
So,
Tri.ABE~Tri.DCE... (by AA similarity)
Therefore,
Corresponding sides are proportional
i.e.
HOPE IT IS USEFUL
Answer:
-5^x + 3x + 2
Step-by-step explanation:
(f - g)(x) = ƒ(x) -g(x) = -5^x -(-3x -2) = -5^x + 3x + 2
Based on the above, the Triangle XYZ and ACB are known to be similar triangles since tanX = tanA = 5 over 2 and 5 tenths;
Hence:
<h3>What is the triangle about?</h3>
From the question given; Triangle XYZ is known to have been dilated by a scale factor of 2 to form a type of triangle known as triangle ACB, So therefore, XYZ and ACB are known to be the same or similar triangles.
Since Angles Y and C are known to both measure 90 degrees, and angles A and X are said to be congruent. Therefore:
tanX = tanA = 5 over 2 and 5 tenths
AC = 2 x XY
CB = 2 x YZ
For part B:
cosX=Base/Hypotenuse
cos A=AC/AB
AC = 2.05
AB = 5.59
Therefore, Based on the above, the Triangle XYZ and ACB are known to be similar triangles since tanX = tanA = 5 over 2 and 5 tenths;
Hence:
Learn more about triangles from
brainly.com/question/27517432
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