Answer:
False
Step-by-step explanation:
All the angles in a triangle equal 180 degrees.
So,
101+34+x=180
x= the missing angle.
135+x=180
Subtract both sides by 135.
x= 45
The missing angle equals 45 degrees.
I hope this helps!
~kaikers
Rectangles<span> and squares are </span>alike<span> in that both have </span>two<span> pairs of parallel sides and four right angles.</span>
Answer:
Step-by-step explanation:
The angles labeled 4y - 8 and 79 + y are called vertical angles, and definition, vertical angles are congruent. That means algebraically, that
4y - 8 = 79 + y and
3y = 87 and
y = 29
Answer:
x=4 Inch
Step-by-step explanation:
Length of the Square = 24 Inches
If a Square of Length x cm is cut out from each corner
Length of the Box = 24-x-x=(24-2x) Inches
Width of the Box =24-x-x=(24-2x) Inches
Height of the box = x inches
Volume of a Cuboid = Length X Width X Height
V(x)= x(24-2x)(24-2x)
Simplifying
V(x)=4x(12-x)(12-x)
To determine the value of x at which V is largest, we take the derivative of V(x) and solve for the critical points.
V(x)=4x(12-x)(12-x)

Set the derivative equal to zero to obtain the critical points

x cannot be equal to 12 as it divides the length of the square cardboard into exactly two equal parts.
When x=4
V(4)=4*4(12-4)(12-4)=16*8*8=1024 Cubic Inches
When x=4 Inch, the volume, V of the open box is largest.