The triangle is an isosceles triangle so that means the base angles must be congruent.
The sum of the interior angles of a triangle add up to 180 degrees.
Subtract 52 degrees from 180 degrees.
180 - 52 = 128
Divide 128 degrees by 2.
128/2 = 64
m∠X = 64°
Number the tables as follows:
1 2
3 4
Eliminate 3 and 4 immediately, because for x = 2 the y values are wrong (3 and 1).
In tables 1 and 2, the input (1) produces the correct output (-1).
So we have to determine which table agrees 100% with the system of equations given.
Comparing tables 1 and 2, row by row, we see that their contents are the same EXCEPT for the first rows. So focus on determing which of those 2 rows displays values that satisfy both given equations.
First I looked at y=2x-5, and subst. -1 for x. I got -7, which is correct in table 1 but not in table 2 (where the value would be -13).
Thus, table 1 correct represents the solution of the system of equations.
Answer:
10 1/10
Step-by-step explanation:
22/5 + 31/10 + 13/5
44/10 + 31/10 + 26/10
101/10
10 1/10