Answer:dilation
Step-by-step explanation:
The type of transformation that will produce a similar, but not congruent figure is a dilation
Answer:
6 × ¼ is NOT EQUAL TO 6 × ¾
8 × ²/4 is NOT EQUAL TO 6 × ¾
18/(2 × 2) is EQUAL TO 6 × ¾
Step-by-step explanation:
Given 6 * ¾,
We're asked to determine if each of the given expressions is equal or not equal to 6 * ¾.
Let's evaluate 6 * ¾
6 × ¾ = (6×3)/4 = 18/4 = 4.5
Now, let's compare each expression given to determine if it is equal or not
✔️6 × ¼ = (6×1)/4 = 6/4 = 1.5
Therefore,
6 × ¼ is NOT EQUAL TO 6 × ¾
✔️8 × ²/4 = (8×2)/4 = 16/4 = 4
Therefore,
8 × ²/4 is NOT EQUAL TO 6 × ¾
✔️18/(2 × 2) = 18/4 = 4.5
Therefore,
18/(2 × 2) is EQUAL TO 6 × ¾
<em>FIRST QUESTION:</em>
The slide is 21 ft long. You can imagine that this slide is actually the <u>hypotenuse</u> of a right angled triangle.
To get to the top of the slide you must climb up a vertical 9 foot ladder. You can imagine that this ladder is the <u>opposite</u> side of the right angled triangle.
Now, the distance between the bottom of the ladder and the bottom of the slide can be thought of as the <u>adjacent</u> side of this right angled triangle.
We know, thanks to Pythagoras that:
A²+O²=H²
A = Adjacent length = b
O = Opposite length
H = Hypotenuse
Therefore:
b²+9²=21²
b²=21²-9²
b²=360
b=√360=18.97 (2dp)
So the answer you are looking for is <u>19 feet</u> to the nearest tenth (answer: B).
<em>SECOND QUESTION:</em>
18²+24²=30² (Yes)
Therefore the answer to the second question is YES (answer: A).
