Question

The graph for the first equation of a system is shown in orange. The second equation is:

Answer 1

Answer:

b

Step-by-step explanation:

Slope of the first one:

(-6-0)/(0--3) = -6/3 = -2

y = -2x - 6

3y + 30 = 6x

y + 10 = 2x

-2x - 6 + 10 = 2x

4 = 4x

x = 1

y = -2(1) - 6

y = -8

Answer 2

Answer:

Given: Angle T S R and Angle Q R S are right angles; Angle T Is-congruent-to Angle Q

Prove: Triangle T S R Is-congruent-to Triangle Q R S

Triangles T S R and Q R S share side S R. Angles T S R and S R Q are right angles. Angles S T R and S Q R are congruent.

Step 1: We know that Angle T S R Is-congruent-to Angle Q R S because all right angles are congruent.

Step 2: We know that Angle T Is-congruent-to Angle Q because it is given.

Step 3: We know that Line segment S R is-congruent-to line segment R S because of the reflexive property.

Step 4: Triangle T S R Is-congruent-to Triangle Q R S because

of the ASA congruence theorem.

of the AAS congruence theorem.

of the third angle theorem.

all right triangles are congruent.