This is not true.
where is is any integer. So suppose we pick some value of
other than these, say
. Then
Triangle XYZ was dilated by a scale factor of 2 to create triangle ACB and cos ∠X = 2 and 5 tenths over 5 and 59 hundredths.
1 answer:
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:
- AC = 2 x XY
- CB = 2 x YZ
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:
- AC = 2 x XY
- CB = 2 x YZ
Learn more about triangles from
#SPJ1
You might be interested in
Let the smaller number be x.
Let the bigger number be y.
Rearrange equation (2):
Sub (2) into (1):
Sub x = 1 into (2):
Answer: The two numbers are 1 and 9.
Let the bigger number be y.
Rearrange equation (2):
Sub (2) into (1):
Sub x = 1 into (2):
Answer: The two numbers are 1 and 9.