BE = 3x - 1
BC = BD - CD = 2x - 4 - 2
DE = CE - CD = 2x - 3 - 2
_______________________
BC + CD + DE = BE
( 2x - 4 - 2 ) + 2 + ( 2x - 3 - 2 ) = 3x - 1
2x - 6 + 2 + 2x - 5 = 3x - 1
2x + 2x - 5 - 6 + 2 = 3x - 1
4x - 11 + 2 = 3x - 1
4x - 9 = 3x - 1
Add both sides 9
4x - 9 + 9 = 3x - 1 + 9
4x = 3x + 8
Subtract both sides 3x
4x - 3x = 3x - 3x + 8
<em>x = 8 </em>
___________________
BD = 2x - 4
BD = 2(<em>8</em><em> </em>) - 4
BD = 16 - 4
BD = 12
And we're done...
Answer:
C) 3(x + 3y + 5)
D) 3x + 3(3y +5)
Answer:
$59.99
Step-by-step explanation:
11% of $59.99 is $6.60. $59.99+$6.60=66.59
Answer:
Volume: 105 cubic centimeters
Mass of doorstop: 924 grams
Step-by-step explanation:
First, you need to find the area of the triangular base of the prism. The area of the triangle is bh/2=10*6/2=30 square centimeters. Multiplying this by the height of the doorstop of 3.5, you get a total volume of 105 cubic centimeters. Since each cubic centimeter weighs 8.8 grams, the whole thing weighs 105*8.8=924 grams. Hope this helps!