Answer:
x = 50
m∠D = 150°
m∠F = 30°
Step-by-step explanation:
- supplementary angles are two angles whose sum is 180°
∠D + ∠F = 180°
3x + x - 20 = 180
3x + x = 180 + 20
4x = 200
x = 200/4
x = 50
D = 3*50 = 150
∠D = 150°
F = 50 - 20 = 30
∠F = 30°
Answer:
- 3, - 11, - 35, - 107
Step-by-step explanation:
Using the recursive formula with f(1) = - 3 , then
f(2) = - 2 + 3f(1) = - 2 + 3(- 3) = - 2 - 9 = - 11
f(3) = - 2 + 3f(2) = - 2 + 3(- 11) = - 2 - 33 = - 35
f(4) = - 2 + 3f(3) = - 2 + 3(- 35) = - 2 - 105 = - 107
Thus the first four terms are
- 3, - 11, - 35, - 107
Rectangular prism the two square on the end have 4 vertices each
Could you please send a picture of the polygon?
Answer:
The length is 6 feet and the width is 4 feet
Step-by-step explanation:
Let x represent the length of the yard
The width can be represented by x - 2, since it is 2 less than the length.
Use the perimeter formula, P = 2l + 2w, where l is the length and w is width
Plug in the expressions and perimeter:
20 = 2x + 2(x - 2)
Solve for x:
20 = 2x + 2x - 4
20 = 4x - 4
24 = 4x
6 = x
So, the length is 6. Plug this into x - 2 to find the width
x - 2
6 - 2
= 4
So, the length is 6 feet and the width is 4 feet
