Add or subtract each expression.Simplify your final answer show all work.
1 answer:
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The value of .
We know that,
➪ 125° + + 30° = 180°
➪ + 155° = 180°
➪ = 180° - 155°
➪ = 25°
Therefore, the value of is 25°.
Now, the three angles of the triangle are 125°, 25° and 30°.
✒ 125° + 25° + 30° = 180°
✒ 180° = 180°
✒ L. H. S. = R. H. S.
Answer:
The scale factor of a dilation from ABCD to RSTU is
Step-by-step explanation:
We know that the rectangle ABCD is similar to rectangle RSTU.
Given that in rectangle ABCD the longest sides are DC and AB and in the rectangle RSTU the longest sides are UT and RS ⇒ The scale factor of a dilation will transform the sides DC and AB into UT and RS
Working with the lengths of the sides :
DC.(Scale factor) = UT
AB.(Scale factor) = RS
Replacing with the values of the lengths (Scale factor : SF) :
Notice that the scale factor is dimensionless.
We can verify this result with the sides AD and BC :
The scale factor (SF) is