Answer:
x+65°=120°[by alternate interior angle]
x=120°-65°
x=55°
Answer:
From not having solution the system changed to have solution
Step-by-step explanation:
step 1
we have
----> inequality A
----> inequality B
Solve the system of inequalities by graph
using a graphing tool
The system has no solution , because the dashed lines are parallel lines
see the attached figure N 1
step 2
we have
----> inequality A
----> inequality B
Solve the system of inequalities by graph
using a graphing tool
The solution is the shaded area between the two dashed lines
see the attached figure N 2
therefore
From not having solution the system changed to have solution
The similar figures are 1,4,6. The figure 2 and 5 have different shape. The figure 3 have different ratio of side lengths.
The given figure is a rectangle with length 6 yd and width 2 yd.
The figure 2 shows a triangle and figure 5 shows a parallelogram, therefore the figure 2 and 5 have different shape
Two figure are called same if their corresponding sides have same proportion.
The figure 1 and 4 have two sides having length 2 yd and 6 yd, So, the figure 1 and 4 shows the similar figure.
The figure 6 have sides 4 and 12 which is twice of side length of given figure, therefore the sides increased by same proportion 2.
Thus, the figure 1,4,6 shows the figure similar to given figure.
In figure 3 the length is 6 and width is 3. The length is same but the width is different.
Therefore the figure 3 have different ratio of side lengths.
