Answer:
y = 6.5 units
Step-by-step explanation:
Let L be the length of sides of the square.
Given the following data;
Perimeter of square = 8y - 12
Area of square = 100 square units
To find the value of y;
Area of a square = L²
Substituting into the formula, we have;
100 = L²
L = √100
L = 10 units
Mathematically, the perimeter of a square is given by the formula;
Perimeter of a square = 4L
Substituting into the formula, we have;
8y - 12 = 4*10
8y - 12 = 40
8y = 40 + 12
8y = 52
y = 52/8
y = 6.5 units
Answer:
10-3x
Step-by-step explanation:
Opposite angles in a parallelogram have equal measure.
The measure of angle TUV is 78 degrees
The given parameters are:
Start by calculating angle RSV.
--- angles in a triangle
So, we have:
Subtract 102 from both sides
Angles RSV and TUV are corresponding angles.
So, we have:
Rewrite as:
Hence, the measure of angle TUV is 78 degrees
Read more about parallelograms at:
brainly.com/question/12186483
We know that
[volume of the triangular prism]=[area of the base]*height
area of the base=15*3/2-----> 22.5 in²
height of the prism=16 in
so
[volume of the triangular prism]=[22.5]*16------> 360 in³
the answer is
the volume of the triangular prism is 360 in³
