Answer:
Walkway is 3 feet wide.
Step-by-step explanation:
Given:
Length of the building is 150 ft
width of the building is 100 ft
walkway is x ft wide.
Total area(around and including the building) = 16536 square feet
Solution:
Length of the total area will be = length of the building + width of walkway from 2 sides = 
Width of the total area will be = width of the building + width of walkway from 2 sides = 
Now Total area(around and including the building) = Length of the total area
Width of the total area
Now solving for both equation we get.
Now, We get 2 values for x which -128 and 3 but the width of the building can't be in negative value hence we will consider value of x be 3.
∴ Width of the walkway is 3 ft.
First number = x
Second number = x + 2
Third number = x + 4
X + x +2 + x + 4 = 438
Simplify:
3x + 6 = 438
Subtract 3 from both sides
3x = 432
Divide both sides by 3
X = 144
The second number is 144 + 2 = 146
Answer:
E) 35°, 70°.
Step-by-step explanation:
Given that the triangle has angles of a°, 2a° and 75°.
A triangle is a polygon shape that has three sides and three angles. The sum of angles in a triangle is 180°. There are different types of triangles such as scalene triangle, isosceles triangle, equilateral triangle e.t.c.
In the triangle:
a + 2a + 75 = 180° (sum of angles in a triangle)
3a + 75 = 180
adding -75 to both sides:
3a + 75 - 75 = 180 - 75
3a = 105
a = 105/3
a = 35°
Hence 2a = 2(35) = 70°
Therefore a = 35° and 2a = 70°
The answer would be 28 feet, to get area you do length times width, 7 x 4 = 28
