The triangle QPR having inscribed triangle STU will allow the artisan to divided his glass piece into four equal triangular pieces.
In order to divide an equilateral triangle into four equal triangular glass pieces, the artisan must;
- Take S as the mid-point on PA, T as the mid-point on PR, and U as the mid-point on QR. Thus, S, T, and U are the three mid-points on each side of the equilateral triangle QPR.
- Now, by joining these mid-points S, T, and U, four equal triangles are made(as shown in the figure).
Since the triangle is equilateral,
PQ = QR = RP
Mid-point divides the lines into equal parts. So,
PS = SQ = QU = UR = RT = TP
Thus, it is proved that
ΔPST = ΔSTU = ΔTUR = ΔQSU
Learn more about 'Equilateral Triangle' here:
brainly.com/question/2855144
Answer:
18 miles run
Step-by-step explanation:
Step-by-step explanation:
See attached picture.
First, compare the highest term of the dividend (x²) to the highest term of the divisor (x). We need to multiply the divisor by x.
When we do that, we get x² + 5x. Subtracting this from the dividend, we get -9x + 11.
Now repeat the process. Compare the highest term of the new dividend (-9x) to the highest term of the divisor (x). We need to multiply by -9.
When we do that, we get -9x − 45. When we subtract from the new dividend, we get 56.
So the quotient is x − 9, and the remainder is 56.
4x-7: "seven less than" means you're going to subtract it from the upcoming value, which is "the product of four and a number". "a number" refers to an unknown variable, which I chose to be x. So put it all together and you get 4x-7
Step-by-step explanation:
Simplify 1/125
1/125 . (x3))-1) ÷ 3
(x3
(———)-1) ÷ 3
125
3.1 x3 raised to the minus 1 st power = x( 3 * -1 ) = x-3
3.2 125 = 53 (125)-1 = (53)(-1) = (5)(-3)
x(-3)
——————— ÷ 3
(5)(-3)
x(-3)
Divide ——————— by 3
(5)(-3)
Answer: 125
/3x3
