<h3>Solution:</h3>
-38d - 57 = -19d + 76
or, -38d + 19d = 76 + 57
or, -19d = 133
or, d = 133/-19 = -7
<h2>Answer: d = -7</h2>
<h3>To Check:</h3>
By putting the value of d, we get
-38(-7) - 57 ≥ -19(-7) + 76
or, 266 - 57 ≥ 133 + 76
or, 209 ≥ 209
Hence, Verified.
Answer: 3.87 * 10^5, or 387000
Step-by-step explanation:
Move the decimal to the left and increase the power.
If you want to have it expanded, move the decimal point to the right 4 times of the original to get 387000.
Answer:
If a polygon is convex, then the sum of the measures of the exterior angles, one at each vertex, is 360° .
Consider the sum of the measures of the exterior angles for an n -gon.
N=180n−180(n−2)
Distribute 180 .
N=180n−180n+360 =360.
Step-by-step explanation:
Given:
Shapes: Trapezoid and Triangle.
Trapezoid: Upper base = 14mm ; lower base = 18mm
Triangle: base = 18mm ; height = 12mm
Total height of the figure is 17 mm
Area of a trapezoid = (upper base + lower base)/2 * height
A = (14mm+18mm)/2 * (17mm-12mm)
A = 32mm/2 * 5mm
A = 16mm * 5mm
A = 80 mm²
Area of a triangle = (height * base) ÷ 2
A = (12mm * 18mm) ÷ 2
A = 216mm² ÷ 2
A = 108 mm²
Total area of the figure = 80 mm² + 108 mm² = 188mm²
