Answer:
78
Step-by-step explanation:
∠A + ∠B + ∠C = 180 { Angle sum property of triangle}
42 + ∠B + 60 = 180
∠B + 102 = 180
∠B = 180 - 102 = 78
In similar triangles, corresponding angles are congruent.
∠S ≅ ∠B
∠S = 78°
--------------------------------------------------
Define length and width
--------------------------------------------------
Let x be the width
width = x
Length = 2x + 4
--------------------------------------------------
Formula
--------------------------------------------------
Perimeter = 2(length + width)
--------------------------------------------------
Find Length and width
--------------------------------------------------
62 = 2(2x + 4 + x)
62 = 2(3x + 4) <em> ← combine like terms </em>
62 = 6x + 8 <em>← remove bracket </em>
62 - 8 = 6x <em>← minus 8 on both sides </em>
6x = 54 <em> ← swap sides </em>
x = 54 ÷ 6 <em>← divide by 6 on both sides</em>
<em>x = 9 m</em>
--------------------------------------------------
Find Length and Width
--------------------------------------------------
Width = x = 9 m
Length = 2x + 4 = 2(9) + 4 = 22 m
--------------------------------------------------
Answer: Length = 22m
--------------------------------------------------
Answer:
It's option d.
Step-by-step explanation:
The line y = x + 2 has domain x < 2 (because of the clear circle.)
The lines y = x + 1 has domain x ≥ 2. ( because of the filled circle).
0.4x 0.4x 0.4 = (0.4)^3
Exponential form = (0.4)^3
Answer:
2000 because you got to subtract