Answer:
A. The reflection preserves the side lengths and angles of triangle . The dilation preserves angles but not side lengths.
Step-by-step explanation:
Reflection is a rigid transformation. It preserves both angles and side lengths. Dilation preserves angles, but changes all lengths by the same scale factor.
<h3>Application</h3>
The described triangle was subject to reflection, which preserves angles and lengths. It was also subject to dilation, which preserves angles, but not lengths.
The appropriate description is that of choice A.
Answer:Does this helpf(t) = 1400(1 + (0.1)/2))2t
Step-by-step explanation:
We don’t know the value of the shorter side, so we will categorize it as x. Side 2 is just 4 feet longer than x, so we would add 4 on to it. Side 3 has double the x, so we would multiply it be 2 for 2x, and subtract the 4 feet from it.
Side 1: x
Side 2: x + 4
Side 3: 2x - 4
If the perimeter is 64 feet, then all of the sides have to add up to it. Therefore, first we add all of the side lengths up:
x + x + 4 + 2x - 4 = 4x.
Now we put 4x, the amount of all these sides added up, equal to the perimeter of 64.
4x = 64. Divide both sides by 4 to get x by itself.
x = 16.
Now that we know x is 16, we will substitute it in for all the side lengths’ equations.
We know that Side 1 was just x, so that will be 16. Since Side 2 was 4 more than x, we’d do 16 + 4 = 20. We substitute 16 in for x in Side 3’s equation: 2(16) - 4 = 32 - 4 = 28.
Therefore, the final lengths of all the sides are:
Side 1: 16
Side 2: 20
Side 3: 28
Answer:
it took her 54 mins to finish her walk.
Step-by-step explanation:
Given;
total distance walked by Katie, d = ⁵/₆
time taken to walk ¹/₆ mile = 10 mins
break time = 1 min
There are five ¹/₆ mile in the total distance which is ⁵/₆ miles.
Time for the first ¹/₆ mile = 10 mins +
break time = 1 min
Time for the second ¹/₆ mile = 10 mins +
break time = 1 min
Time for the third ¹/₆ mile = 10 mins +
break time = 1 min
Time for the fourth ¹/₆ mile = 10 mins +
break time = 1 min
Time for the fifth ¹/₆ mile = 10 mins
Total time = 5 (10 mins) + 4 (1 min)
= 50 mins + 4mins
= 54 mins
Therefore, it took her 54 mins to finish her walk.
