Answer:
Step-by-step explanation:
3. This problem incorporates an exponent property.
Exponent property used: , yielding an answer of
Which is bigger 80%of 90 or 1/2 of 140
1 answer:
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Answer: The correct option is D, i.e., 15 units.
Explanation:
It is given that the length of segment TR can be represented by 5x-4.
From figure it is noticed that the side TR and RV is equal and the length of segment RV is 2x+5. So,
The value of x is 3, so the length of side RV is,
In triangle TRS and angle VRS,
TR=VR
RS=RS (common side)
By SAS rule of congruence triangle,
Therefore the side TS and VS are congruent sides.
From figure it is noticed that the length of side TS is 6x-3, therefore the length of side VS is also 6x-3.
Hence, the length of side VS is 15 units and option D is correct.
Answer:
The image coordinates are:
A'(0, 0)
B'(-8, -8)
C'(4, -8)
The graph of the image coordinates attached below.
The image triangle A'B'C' is illustrated in green color.
Step-by-step explanation:
Let the points of a triangle be
- A(0,0)
- B(-4,-4)
- C(2,-4)
We need to determine the graph of the image of this triangle after a dilation with a scale factor of 2 centered at the origin.
- As scale factor > 0, thus the image will be enlarged.
A dilation by a scale factor of 2 centered at the origin means the coordinates of the image can be obtained by multiplying the original coordinates with 2.
Next, the rule of dilation by a scale factor of 2 is given by
Dilation: (x, y) → (2x, 2y), centered at (0, 0)
P(x, y) → P' (2x, 2y)
A(0, 0) → A' (2(0), 2(0)) → A'(0, 0)
B(-4, -4) → B' (2(-4), 2(-4)) → B'(-8, -8)
C(2,-4) → C' (2(2), 2(-4)) → C'(4, -8)
Therefore, the image coordinates are:
- A'(0, 0)
- B'(-8, -8)
- C'(4, -8)
The graph of the image coordinates attached below.
The image triangle A'B'C' is illustrated in green color.
