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
Se escribe una equacion y se resolve.
Vamos a usar x para representar el peso de la piedra.
En en platillo que tiene la piedra, el peso total es: x + 1/9 + 2/3
En el otro platillo: 1/2 + 1/3
La balanza esta equilibrada por eso los pesos en los platillos son iguales.
x + 1/9 + 2/3 = 1/2 + 1/3
x + 2/18 + 12/18 = 9/18 + 6/18
x + 14/18 = 15/18
x = 1/18
Respuesta: La piedra pesa un octavo de kilogramo.
Given
Present investment, P = 22000
APR, r = 0.0525
compounding time = 10 years
Future amount, A
A. compounded annually
n=10*1=10
i=r=0.0525
A=P(1+i)^n
=22000(1+0.0525)^10
=36698.11
B. compounded quarterly
n=10*4=40
i=r/4=0.0525/4
A=P(1+i)^n
=22000*(1+0.0525/4)^40
=37063.29
Therefore, by compounding quarterly, she will get, at the end of 10 years investment, an additional amount of
37063.29-36698.11
=$365.18
The answer: 4
64’s common factors are 2 2 2 2 2 2
12’s common factors are 2 3 2
Find the factors that 64 and 12 have in common. The answer is 2 x 2= 4
2 bc you can’t write it as a fraction
