Answer:
B
Step-by-step explanation:
∠ 2 and 37° are vertically opposite angles and are congruent, then
∠ 2 = 37°
∠ 1 and 37° are a linear pair and sum to 180° , that is
∠ 1 + 37° = 180° ( subtract 37° from both sides )
∠ 1 = 143°
∠ 1 and ∠ 3 are vertically opposite angles and are congruent , then
∠ 3 = 143°
Answer:
D. 360 in.²
Step-by-step explanation:
<em>Since all the answers are labeled as in.², we know that we have to find the area of the rectangular prism. The formula for area of a rectangular prism is: </em><em>lwh </em><em>(length x width x height).</em>
<em>l = 12</em>
<em>w = 6</em>
<em>h = 5</em>
12 x 6 x 5 = 360
Answer:
241.50
Step-by-step explanation:
Oxen= 40 x 2 = 80
Food=0.20 x 500 =100
Clothing = 10 x 5 = 50
total = 230
Tax= 5 percent x 230 divided by 100
= $11.50
230 +11.50
= 241.50
4x - 5(x - 2) = 12x + 4 - x
4x - 5(x) - 5(-2) = 12 - x + 4
4x - 5x + 10 = 11x + 4
-x + 10 = 11x + 4
<u>+ x + x </u>
10 = 12x + 4
<u>- 4 - 4</u>
<u>6</u> = <u>12x</u>
12 12
0.5 = x
Answer:
9.25
Step-by-step explanation:
M₄ means the area using 4 rectangles with heights equal to the function evaluated at the midpoints.
The width of each rectangle is (4−0)/4 = 1.
The area of each rectangle is:
M₁ = (1) (1.12) = 1.12
M₂ = (1) (1.80) = 1.80
M₃ = (1) (2.69) = 2.69
M₄ = (1) (3.64) = 3.64
The total area is therefore:
M = 1.12 + 1.80 + 2.69 + 3.64
M = 9.25
