Shape A is congruent to shape F, as shown by reflection across the y-axis and then a translation down 3 units.
Shape B is congruent to shape D, as shown by a reflection across the y-axis and then a translation down 2 units
Step-by-step explanation:
1. make the denominators the same.
10/15+3/15= 13/15
Answer:
2x + 4 = 7
Step-by-step explanation:
If X is the unknown number, then twice that would be 2x, and you add 4, wich would be equal to 7: 2x + 4 = 7
Answer:
n > 4
Step-by-step explanation:
3n - 7 > <u>n</u> + 1
Move variable to the left side and change its sign
3n <u>- </u><u>n</u> - 7 > 1
...
3n <u>- </u><u>7</u> > n + 1
Move constant to the right side and change its sign
3n - n > 1 <u>+ </u><u>7</u>
...
<u>3</u><u>n - n</u> > 1 + 7
Collect the like terms
<u>2</u><u>n</u> < 1 + 7
...
3n - n > <u>1</u><u> + </u><u>7</u>
Add the numbers
2n < <u>8</u>
Divide both sides of the inequality by 2
Solution:
<u>n </u><u>></u><u> </u><u>4</u><u> </u> Answer:
n < 2
Step-by-step explanation:
4n - 5 < <u>3n</u> - 3
Move variable to the left side and change its sign
4n <u>- 3n</u> - 5 < - 3
...
4n <u>- 5</u> < 3n -3
Move constant to the right side and change its sign
4n - 3n < - 3 <u>+ 5</u>
...
<u>4n - 3n</u> < - 3 + 5
Collect the like terms
<u>n</u> < - 3 + 5
...
4n - 3n < <u>- 3 + 5</u>
Calculate the sum
n < <u>2</u>
...
Solution:
<u>n < 2</u>
Answer:
c
Step-by-step explanation: