Answer:
b
Step-by-step explanation:
Answer:
x = 13
Step-by-step explanation:
Given that Δ NML and Δ PST are similar right triangles, we can set up the following proportional statement to establish their relationship:
Cross multiply:
8(x + 2) = 10 (x - 1)
8x + 16 = 10x - 10
Subtract 8x from both sides:
8x - 8x + 16 = 10x - 8x - 10
16 = 2x - 10
Add 10 to both sides:
16 + 10 = 2x - 10 + 10
26 = 2x
Divide both sides by 2:
13 = x
Verify whether x = 13 is the correct value:
This shows the proportional relationship between , and that ΔNML and ΔPST are indeed similar right triangles.
Therefore, the correct answer is x = 13.
Answer:
C
Step-by-step explanation:
Answer:
$6 = cost of small box
$8 = cost of large box
Step-by-step explanation:
Let s = cost of small box
l = cost of large box
(1) 12s + 3l = 96 (2) 6s + 6l = 84
Multiply by -2 <u> -24s - 6l = -192</u>
-18s = - 108
s = $6 = cost of small box
12(6) + 3l = 96
72 + 3l = 96
3l = 24
l = $8 = cost of large box
The answer choice which is the characteristic of dilations comparing both segments is; A segment in the image is proportionally longer or shorter than its corresponding segment in the pre-image
<h3>Which answer choice compares segment E'F' to segment EF?</h3>
By consider the coordinates of the quadrilaterals EFGH and E'F'G'H' as given in the task content image, it follows that the coordinates are as follows;
- E(0, 1), F(1, 1), G(2, 0), and H(0, 0)
- E'(-1, 2), F'(1, 2), G'(3, 0), and H'(-1, 0)
Upon computation of the length of the segments, it follows that the two segments are in proportions. Hence, the answer choice which is correct is; A segment in the image is proportionally longer or shorter than its corresponding segment in the pre-image.
Remark:
- A segment that passes through the center of dilation in the pre-image continues to pass through the center of dilation in the image.
- A segment in the image has the same length as its corresponding segment in the pre-image.
- A segment that passes through the center of dilation in the pre-image does not pass through the center of dilation in the image.
- A segment in the image is proportionally longer or shorter than its corresponding segment in the pre-image.
Read more on length of segments;
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