We know that the right triangle has one 90 degree angle and two acute (< 90 degree) angles. Since the sum of the angles of a triangle is always 180 degrees.
<u>To find x:</u>
(10x - 20) + (6x + 8) = 180
16x - 12 = 180
+12 +12
16x = 192
----- -----
16 16
x = 12
<u>Check:</u>
(10(12) - 20) + (6(12) + 8) = 180
(120 - 20) + (72 + 8) = 180
100 + 80 = 180
180 = 180
<u>Angle (10x - 20):</u>
(10(12) - 20)
(120 - 20)
100
<u>Angle (6x + 8):</u>
(6(12) + 8)
(72 + 8)
80
<span>Part
A: Solve A = (x + 23) for x.
A = x + 23
=> A - 23 = x + 23 - 23
=> A - 23 = x
=> x = A - 23 <------- answer
Part B: Determine the value of x
when A = 108
Replace the value of A in the expression x = A - 23
x = 108 - 23 = 75
x = 75 <------- answer
Part C: Solve -np - 90 > 30 for n.
-np - 90 > 30
=> -np + np - 90 >30 + np
=> - 90 > 30 + np
=> -90 - 30 > 30 - 30 + np
=> -120 > np
=> np < - 120 <----- answer
</span>
2x X 54 is going to be 108x
since both are positive you will get a positive #
54 X 2 is 108
9514 1404 393
Answer:
- reflection across the origin
- rotation 180° about the origin
- reflection across the x-axis, and translation right 6 units
Step-by-step explanation:
The figure and its image are symmetrical about the origin, so the following three transformations are equivalent:
1. reflection across the origin
2. rotation 180° about the origin
3. reflection across both x- and y-axes, in either order
__
The figure itself has left-right symmetry, so only one reflection is necessary to map the figure to its image: reflection across a horizontal line. Following that reflection, the image can be put into place by an appropriate translation. One such pair of transformations is ...
4. reflection across the x-axis and translation 6 units right, in either order
Answer:
Part A
= $9
Part B
= $3.24
Part C
= $30.24
Step-by-step explanation:
Part A
= 36÷100x25
= $9
Part B
=36÷100x9
=$3.24
Part C
=36-9
=27
Then
=27+3.25
= $30.24
