In the following diagram line C intersects line D. Using complete sentences, classify the relationship between ∠7 and ∠8 created by the intersection of lines C and D.
Use complete sentences to explain how the special angles created by the intersection of lines C and D can be used to solve for y.
Solve for y and find the measures of ∠7 and ∠8

c and d can you show me your face 7 and 8

Step-by-step explanation:

answer below! hope this helps!

Step-by-step explanation:

A.The relationship between angles <7 and <8 are described as vertically opposite angles, they are angles that are opposite of eachother when two lines cross. Theyare vertical because they share the same vertex(the same corner angles) as opposed to the usual up-down meaning of vertical.

B. The angles created by this intersection between c and d are special because they are equal to each other, to solve for y we have (5y-29)=(3y+19), this is because they are vertical angles.

C. (5y-29)=(3y+19)

2y-29=19

2y=48

y=24

5(24)-29=91

3(24)+19=91

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: