Answer:
<h2>107 mm²</h2>Step-by-step explanation:
The formula of an area of a rectangle:
<em>l</em><em> - length</em>
<em>w</em><em> - width</em>
<em />
The area of a given shaded region is equal to the area of the whole rectangle, minus the area of the small rectangle.
Area of the whole rectangle:
<em>l = 15mm, w = 9mm</em>
<em>A₁ = (15)(9) = 135 mm²</em>
Area of the small rectangle:
<em>l = 7mm, w = 4mm</em>
<em>A₂ = (7)(4) = 28 mm²</em>
<em></em>
Area of the shaded region:
<em>A = A₁ - A₂</em>
<em>A = 135 - 28 = 107 mm²</em>
Answer:
x = 6
Step-by-step explanation:
the tangent- tangent angle UVW is half the difference of the intercepted arcs, that is
∠ UVW = (UW - WU ) , then
5x + 17 = (37x + 5 - (23x - 5) ) ← multiply both sides by 2
10x + 34 = 37x + 5 - 23x + 5
10x + 34 = 14x + 10 ( subtract 14x from both sides )
- 4x + 34 = 10 ( subtract 34 from both sides )
- 4x = - 24 ( divide both sides by - 4 )
x = 6