Answer:
x = 18
mZT = 71º
Step-by-step explanation:
Complementary angles total 90º
(3x + 17) + 19 = 90
Subtract 19 from both sides
3x + 17 = 71
mZT = 71º
Subtract 17 from both sides
3x = 54
Divide both sides by 3
x = 18
Answer:
In the procedure
Step-by-step explanation:
we have
<em>System 1</em>
Ax+By=C -----> equation A
Lx+My=N -----> equation B
<em>step 1</em>
Multiply equation B by -1 both sides
(-1)*(Lx+My=)N*(-1)
-Lx-My=-N ------> equation C
<em>step 2</em>
Adds equation A and equation C
Ax+By=C
-Lx-My=-N
----------------
Ax-Lx+By-My=C-N
(A-L)x+(B-M)y=C-N -----> equation D
step 3
An equivalent system (System 2) is formed with
Ax+By=C -----> equation A
(A-L)x+(B-M)y=C-N -----> equation D
Answer:
A. 13m
Step-by-step explanation:
To find the area of a square you multiply Length by the Height. Since squares have equal length sides the number has to be the same for the length and the height.
13 x 13 = 169
Answer:
0
Step-by-step explanation:
To find the coordinate of the midpoint of segment QB, first, find the distance from Q to B.
QB = |4 - 8| = |-4| = 4
The coordinate of the midpoint of QB would be at ½ the distance of QB (½*4 = 2).
Therefore, coordinate of the midpoint of QB = the coordinate of Q + 2 = 4 + 2 = 6
OR
Coordinate of B - 2 = 8 - 2 = 6
Coordinate of the midpoint of QB = 6
Coordinate of W = -8
Coordinate of A = 0
distance from W to A (WA) = |-8 - 0| = |-8| = 8
The coordinate of the midpoint of WA would be at ½ the distance of WA = ½*8 = 4.
Therefore, coordinate of the midpoint of WA = the coordinate of W + 4 = -8 + 4 = -4
Or
Coordinate of A - 4 = 0 - 4 = -4
Coordinate of the midpoint of WA = -4
Now, let's find the midpoint between the two new coordinates we have found, which are -4 and 4
Distance of the segment formed by coordinate -4 and 4 = |-4 - 4| = |-8| = 8
Midpoint = ½*8 = 4
Coordinate of the midpoint = -4 + 4 = 0
Or
4 - 4 = 0
