Answer:
105 = (w+8) *w
w = 7 cm
l = 15 cm
Step-by-step explanation:
Area of a rectangle is
A = l*w
l = w+8
105 = (w+8) *w
Distribute
105 = w^2 +8w
Subtract 105 from each side
105-105 = w^2 +8w -105
0 =w^2 +8w -105
Factor
What 2 number multiply to 105 and add to 8
15*-7 = -105
15-7 = 8
(w+15) (w-7) =0
Using the zero product property
w+15 =0 w-7 =0
w=-15 w=7
impossible
not negative
w =7
l = 15
Answer:
Step-by-step explanation:
<u>Name the types of congruence in triangles.</u>
Side Side Side (SSS)
The three sides of one triangle are respectively equal to the three sides of the other triangle.
Side Angle Side (SAS)
Two sides and the included angle of one triangle are respectively equal to two sides and the included angle of the other triangle.
Angle Angle Side (AAS)
Two angles and one side of one triangle are respectively equal to two angles and the matching side of the other triangle.
Right angle Hypotenuse Side (RHS)
The hypotenuse and one side of one right‐angled triangle are respectively equal to the hypotenuse and one side of the other right‐angled triangle.
Take 75 and multiply it by 0.16.
Do that and you get 12