-12 < -6x
-12/-6 > x divide both sides by -6
12/6 > x two negatives makes a positive
2 > x simplify
x < 2 switch sides
hope this helps, God bless!
He needs 13 cans of paint.
The lateral area is given by the area of 5 rectangles, whose dimensions are 15 by 5:
5(15)(5) = 375
Divide this by 30:
375/30 = 12.5 ≈ 13
Hey there! :)
Answer:
m∠A = 72°.
m<B = 108°.
Step-by-step explanation:
In a parallelogram, the opposite angles are congruent.
Therefore, we can set the two expressions equal to each other:
5y - 3 = 3y + 27
Add 3 to both sides:
5y = 3y + 30
Subtract 3y from both sides:
2y = 30
Divide both sides by 2:
y = 15
Substitute this value of y into an expression to solve for the measure of ∠A:
5(15) - 3 = 72°. m∠A = 72°.
In parallelograms, the neighboring angles are supplementary. Therefore:
m∠A + m∠B = 180°
72° + m∠B = 180°
m<B = 108°.
The <em><u>correct answer</u></em> is:
Box 2
Explanation:
In these expressions, x represents the width of the box. We are asked about widths greater than 1; let's us 1.1 as an example:
Box 1:
3(1.1⁵) = 4.83153
Box 2:
4(1.1⁵)-(1.1⁴) = 6.44204 - 1.4641 = 4.97794
With a difference as small as a tenth, the volume of box 2 is larger. The larger the difference in width, the larger the difference in volume, and the volume of box 2 will be larger every time.
Answer:
x= 3
Step-by-step explanation:
4x+ 4 x= 12 + 12
8x = 24
x= 24/8
x= 3
