x=12 perimeter=58
There's a step by step in the pictures, I thought it might be easier
Answer:
STEM | LEAF
_0 __ | 2, 7
_1 ___| 3, 8, 8
_2 __ | 0, 5, 7, 8
_3 __ | 2
Step-by-step explanation:
Given the data:
2,7,13,18,18,20,25,27,28,32
Prepare an ordered stem plot:
STEM | LEAF
_0 __ | 2, 7
_1 ___| 3, 8, 8
_2 __ | 0, 5, 7, 8
_3 __ | 2
KEY:
20 = 2 | 0
The answer is a.............................
Answer:
232 square feet
Step-by-step explanation:
The outside dimensions of the yard are 26 ft by 36 ft, so its total area is ...
yard including walk = (26 ft)(36 ft) = 936 ft²
The dimensions of the yard inside the walkway are 22 ft by 32 ft, so that area is ...
yard not including walk = (22 ft)(32 ft) = 704 ft²
The difference in these areas is the area of the walkway:
walkway area = (yard including walk) - (yard not including walk)
= (936 -704) ft² = 232 ft² . . . . area of the walk
_____
Another way to figure this is to consider the length of the centerline of the walkway. That is the perimeter of a rectangle that is 24 ft by 34 ft. The perimeter (centerline length) is 116 ft, and the width of the walk is 2 ft, so its area is ...
(116 ft)(2 ft) = 232 ft²
The angles produced are vertically opposite angles, thus opposite angles are <u>congruent</u>. The applicable statements are; A, B, C and D.
Lines AD and EC meeting at point B produces set of angles that are <u>congruent</u> (by vertical opposite property).
Now considering the given diagram, it can be observed that the following statements <u>are</u> applicable: A, B, C and D.
- Option A is applicable because of the <em>rigid</em> transformation process of
rotation about B. - Option B is applicable because D will be <em>located</em> on ray BA after the rotation.
- Option C is applicable since both processes <em>are</em> true.
- Option D is applicable since <ABC and <DBE are <em>vertically</em> opposite angles.
- Option E is NOT applicable <ABC is NOT <em>congruent</em> to <ABE.
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