Answer:
DEF = 14.5
DEG = 8.5
Step-by-step explanation:
(7x+4) + (5x+1) = 23
12x+5 = 23
x= 1.5
DEF = 14.5
DEG = 8.5
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Answer:
Area of the shaded region = 23.33 in²
Step-by-step explanation:
Area of a sector =
Where θ = Central angle subtended by an arc
r = radius of the circle
Area of the sector BCD =
= 52.36 in²
Area of equilateral triangle BCD =
=
= in²
= 43.30 in²
Area of the shaded portion in ΔBCD = 52.36 - 43.3
= 9.06 in²
Area of sector CAD =
= 39.27 in²
Area of right triangle CAD =
=
=
= 25 in²
Area of the shaded part in the ΔACD = 39.27 - 25
= 14.27 in²
Area of the shaded part of the figure = 9.06 + 14.27
= 23.33 in²
Solutions
Simplify <span><span>2/3</span>x</span> to <span><span>2x/</span>3
</span>
<span><span><span>2x/</span>3</span>=10
</span>2) Multiply both sides by 3
<span>2x=10×3
3) </span>Simplify 10×3 to 30
<span>2x=30
4) </span>Divide both sides by <span>2
</span><span>x=30 </span>÷ <span>2
5) </span>Simplify <span>30 </span><span>÷ 2</span><span> </span><span>to</span><span> </span><span>15
</span><span><span>x=15
Answer = 15
Also can be written as 1/15</span></span>
L = 3x width
2L + 2W = 16 units
2(3W) + 2W = 16 units
8W = 16 units
Width = 2 units