Answer:
12?
Step-by-step explanation:
Triangles congruent by ASA have two pairs of congruent sides and an included congruent angle.
The graph indicates that sides TV, HG, and AB are congruent, and that sides TU, FG, and BC are congruent. It also indicates that angles U, F, and C are congruent, and that angles G and B are congruent. Notice that angle U of triangle TUV is not an included angle; this eliminates triangle TUV as it can't be congruent to another triangle by ASA with the information provided.
That leaves triangles FGH and ABC. Evidently, angles G and B are included angles, so these triangles are congruent by ASA.
Answer:
b. ΔHGF and ΔABC
There are two equations and two variables. You can solve for each variable using either the elimination method or the substitution method. Here, I believe the elimination method would be best:
5a = -4b + 5
3a = -2b + 3
You can multiply the second equation by two, so the 4b and -4b in both equations will cancel each other out when you add them. So:
5a = -4b +5
6a = 4b +6
Add both equations together.
11a = 11
a = 1
Plug in the a value into any of the previous equations:
5(1) = -4b + 5
-4b = 0
b = 0
So, since we know that b = 0, 6b is also 0.
Answer:
x=-7
Step-by-step explanation:
The sum of the angles of a triangle are 180 degrees
40 + x+57 + 90 =180
Combine like terms
187 +x = 180
Subtract 187 from each side
187-187 +x = 180-187
x = -7
