Answer:
Step-by-step explanation:
Answer:
(1) How many equilateral triangles are there? ___6__
(2) What is the measure of each of the three angles in the equilateral triangle? __60°_
(3) If we cut an equilateral triangle down the middle (green line), what special right triangle do you create? _30-60-90_
(4) What is the vocabulary word for the green line? _Perpendicular bisector_
(5) What is the length of the short side of one 30-60-90 triangle? __4_cm_
(6) What is the length of the hypotenuse of one 30-60-90 triangle? __8 cm
(7) Using the properties of 30-60-90 triangles, calculate the length of the long leg. _4√3_cm
(8) What is the height of the equilateral triangle? _4√3_cm
(9) Apply the formula for the area of a triangle to find the area of one equilateral triangle. ½(8)(4√3) = 16√3 cm²
(10) Calculate the area of the complete hexagon by multiplying the area of one equilateral triangle by the number of triangles. _8(16√3) = 128√3 cm²_
Step-by-step explanation:
The two equations given are:
3y + 2z = 12
y - z = 9
Now let us take the second equation first and find the value of y in relation to z
y = 9 + z
Now we will put the value of y found from the second equation in the first equation.
3y + 2z = 12
3(9 + z) + 2z = 12
27 + 3z + 2z = 12
5z = 12 - 27
5z = -15
z = -(15/5)
= -3
Now again we will put the value of z in the second equation for finding the value of y
y = 9 + z
= 9 - 3
= 6
So we find the value of "y" is 6 and that of "z" is -3
They do all EXCEPT D, but the best answer is A because one can solve the system of equations this way
