4 (2x – 3)= 2( 3x + 1)
<span>(4 (2x – 3)= 2( 3x + 1)) </span>÷ 2
2 (2x – 3) = (3x + 1)
4x - 6 = 3x +1
-3x -3x
__________
x - 6 = 1
+6 +6
______
x = 7
Answer:
528 cm²
Step-by-step explanation:
The surface area of this prism comprises:
- 2 congruent triangles (the bases of the prism)
- 2 congruent rectangles (rectangle 1 and 2) - since the triangle has 2 sides of equal length
- 1 rectangle (rectangle 3)
Area of a triangle = 1/2 × base × height
= 1/2 × 16 × 6
= 48 cm²
Area of rectangle 1 / 2 = width × length
= 10 × 12
= 120 cm²
Area of rectangle 3 = width × length
= 16 × 12
= 192 cm²
Total Surface Area = 2 triangles + 2 rectangles + rectangle 3
= (2 × 48) + (2 × 120) + 192
= 96 + 240 + 192
= 528 cm²
Answer:
Part 1) The height of triangle is 
Part 2) The width of rectangle is 
Step-by-step explanation:
step 1
Find the dimensions of triangle
The area of triangle is equal to
we have
substitute and solve for h
step 2
Find the missing dimension of rectangle
we have that
The height of the triangle is the same as the width of the rectangle
therefore
Step-by-step explanation:
5(x+6x-3x)
(5+30-15)x
if you open the brackets, it will be 5x+30x-15x
