Answer: 45
Step-by-step explanation:
Y > 2x - 3
3y - x ≤ 6
↓
y = 2x - 3
3y - x = 6
3(2x - 3) - x = 6
3(2x) - 3(3) - x = 6
6x - 9 - x = 6
6x - x - 9 = 6
5x - 9 = 6
<u> + 9 + 9</u>
<u>5x</u> = <u>15</u>
5 5
x = 3
y = 2x - 3
y = 2(3) - 3
y = 6 - 3
y = 3
(x, y) = (3, 3)
Answer:
52.8 feets
Step-by-step explanation:
From the diagram :
The height of tree woulb be :
Height above the ground (at breakpoint) + hypotenus
Hypotenus, h cab be obtained using Pythagoras rule :
h² = opp² + adj²
h² = 39² + 12²
h² = 1665
h = sqrt(1665)
h = 40.804 feets
Height of tree to the nearest tenth ;
40.804 feets + 12 feets
= 52.804 feets
= 52.8 feets
Answer:
115
Step-by-step explanation:
The angle is vertically opposite to 115. vertically opposite angles are equal
Answer:
Rotation
Step-by-step explanation:
Given:
Triangle DEF is congruent to Triangle GHJ by the SSS theorem
To find: transformation required to map Triangle DEF onto Triangle GHJ
Solution:
Two figures are said to be congruent if they overlap each other.
Two polygons are said to be congruent if they have same size and shape.
A rotation is a transformation that turns a figure about the center of rotation.
Rotation transformation is required to map Triangle DEF onto Triangle GHJ
