In a 45-45-90 right triangle, what is the ratio of the length of one leg to the length of the other leg? O A1: O B. 2:1 O C. 1:1 D. 2:1

C. 1:1

Step-by-step explanation:

In a 45 45 90 right triangle, the side lengths for the legs are both

x and the length of the hypotenuse is

ad = ae + ed = y + 7

similar triangles therefor

ac/ab = ad/ae

6/4 = (y + 7) / y

cross multiply

6y = 4(y + 7)

6y = 4y + 28

2y = 28

y = 14

step-by-step explanation:

answer: option a.

step-by-step explanation:

you know that the quadrilateral opqr ( a four sided figure) is inscribed in circle. this means that all its vertices are on the circle.

then, by definition, the opposite angles of the quadrilateral are supplementary, this means that the sum of their measures is 180 degrees.

you can observe in the figure that the angles ∠opq   and the angle ∠orq   are opposite, therefore:

then, can be used to d to calculate the measure of ∠opq