You are given that PS ≅ RS as indicated by the single has mark.
You are given that ∠PST ≅ ∠RST as indicated by the single arc.
You know the segment ST is congruent to itself by the reflexive property.
That is, you have two congruent sides and the angle between them, so you can claim the triangles are congruent by the SAS postulate.
Selection C is appropriate.
Hey there!
To start, you must use the distance formula which is .
x1 and x2 are the x coordinates of the points (it does not matter which one you assign to be x1 and x2) and y1 and y2 are the y coordinates (also does not matter which one you assign to be y1 and y2).
Now, set up your formula and simplify:
= ≈ 25.0799
Answer:
∠F = 50°
Step-by-step explanation:
The sum of all three angles in a triangle = 180°
∠F = 180° - 30° - 100° = 50°
I'd suggest re-wording your question:
"How do I find the ordered pair (x,y) that solves this system of linear equations?"
One way of doing that would be to substitute y=5x+7 into the other equation:
-3x - 2(5x+7) = -12. Solve this for x. Once you have a value for x, subst. that value into y=5x+7 to find the corresponding y value.
Then write the ordered pair (x,y). That's it.