Triangles P and Q are similar. Find the lengths of the sides

Answers:

Explanation:

In triangle P, aka triangle ABC, we have the color coded angles:

For triangle Q, aka triangle XYZ, we have:

The colors must pair up to match together. The order is important. That order being "blue, purple, red".

Because of this, we have the three pairs of congruent angles:

Furthermore, that extends to having these pair of corresponding sides that match up together:

Side AC = 7 involves the blue and red angles. The same applies to XZ = 21.

The jump from 7 to 21 is "times 3", which tells us the scale factor. The triangle XYZ has side lengths 3 times longer compared to triangle ABC.

We'll use this scale factor to determine the missing sides of each triangle.

Side BC = 5 involves the purple and red angles. For the other triangle, side ZY involves those same color angles. Going from BC = 5 to ZY = unknown will involve the "times 3" operation. So we have,

ZY = 3*BC = 3*5 = 15

Side AB = unknown pairs up with side XY = 27 of the other triangle. Each side mentioned involves the blue and purple angles.

Instead of multiplying, we'll do the opposite: we divide 27 by 3 to get the side of AB.

This is because:

XY = 3*AB

AB = XY/3

AB = 27/3

AB = 9

la parábola es el lugar

geométrico en el cual los puntos tienen una distancia idéntica, equidistantes,

de un punto denominado foco, f, y una recta denominada directriz

el radio vector de una

parábola es el segmento que existe entre un punto cualquiera y el foco.

por la ecuación se observa

que la parábola abre hacia la derecha, por lo cual podemos usar las siguientes fórmulas

la ecuación ordinaria de la

parábola es y^2 = 4px, donde p es la longitud desde el vértice de la parábola al

foco.

la fórmula de la directriz

es x + p = 0

resolviendo:

y^2-9x = 0

y^2 = 9x

4p = 9, entonces p = 9/4

entonces el foco tendrá la

coordenada f(9/4,0)

la directriz vendrá

expresada por

x + p = 0

x = -p

x = -9/4

el problema indica que la

ordenada es igual a 6, entonces

(6)^2=9x

x = 36/9

x = 4

entonces el punto al cual

hay que obtener la distancia será p(4,6)

calculando se tendrá: pf = 

pf = 6,25 u

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step-by-step explanation:

answer: bea's uncle is 25 years old.

step-by-step explanation:

given the equation , we can say that the variable "x" represents the age of bea's uncle. then to find his age, we need to solve for "x":

we must add 15 to both sides of the equation:

now we need to divide both sides of the equation by 3:

therefore, we can conclude that bea's uncle is 25 years old.