Answer:
volume of trapezoidal prism = 15x^2 cubic units
Step-by-step explanation:
First, area of the trapezoidal bases.
Parallel sides measure x and 2x, for an average of 1.5x.
Height = x
Area of trapezoidal base = 1.5x*x = 1.5x^2
Volume of prism = area base * height
(length does not matter, height does)
= 1.5x^2 * 10 = 15x^2
Y = 3bx - 7x
y = x(3b - 7)
Divide each side by 3b - 7 (assume that it is not zero).

Answer:
Answer:
The rug will fit on the floor of her room
Step-by-step explanation:
The floor's area is given as 108
Will the rug fit this area of 108 sq. ft.?? We have to find the area of the rug and if it is less than 108, then definitely it will fit.
The rug is in the shape of a rectangle. The area of a rectangle is length times width.
Given length 10 and width 6, the area is:
Area of Rectangle = 10 * 6 = 60
Area of Rug = 60
Is 60 less than 108?? Yes, definitely!
The rug will fit on the floor of her room
Answer:
1.625 kilograms
Step-by-step explanation:
Since total weight of pears and apples is 6.5 kilograms and 3/4 of this weight is pears, the weight of the pears is
→ 6.5 x 3/4 = 4.875 kilograms
Since the weight of the pears is 4.875, we can subtract it from the total weight to find the weight of the apples
→ 6.5 - 4.875 = 1.625 kilograms
The picture in the attached figure
we know that
a) <span>
∠1 and ∠5are congruent-----> by corresponding anglesb) </span>∠3 and ∠8------> supplementary angles (∠3 + ∠8=180°)
<span>are not congruent
c)</span>∠6 and ∠4------> supplementary angles (∠6 + ∠4=180°)
are not congruent
d) ∠8 and ∠2------> supplementary angles (∠8 + ∠2=180°)
are not congruent
e) ∠4 and ∠7-----> supplementary angles (∠4 + ∠7=180°)
are not congruent