Answer:
<em>Part A</em>: Explain why x = 5 makes 4x - 1 ≤ 19 true but not 4x - 1 < 19
<em>Part B: x=9</em>
Step-by-step explanation:
<u>Part A</u>: Because the first one is less than or equal to 19 and the other is just less than.
x = 5
TRUE: 4x - 1 ≤ 19 = 20-1 ≤ 19 = 19 ≤ 19
19 is less than or equal to 19 so its true
FALSE: 4x - 1 < 19 = 19 < 19
19 is not greater than 19
<u>Part B:</u>
5x + 2 = 47 subtract 2 from both sides
5x = 45 divide both sides by 5
x = 9
To check we can plug it back in
5x + 2 = 47
5(9) + 2 = 47
45 + 2 = 47
47 = 47
TRUE
Answer:
500
Step-by-step explanation:
Answer:
45°
Step-by-step explanation:
Let's understand "supplement" and "complement" -- basics of geometry of angles.
- When we say two angles, a & b, are supplementary, we mean that both ADD up to 180.
- When we say two angles, a & b, are complementary, we mean that both ADD up to 90.
<em><u>If we have given an angle, such as "x", to find its supplement, we subtract the angle from 180. Similarly, we would need to subtract the angle x from 90 if we were to find the complement of the angle.</u></em>
<em><u /></em>
We want to find complement of 45, so we subtract 45 from 90 to get:
90 - 45 = 45°
Hence, the complement of a 45° angle = 45°
18+13=31, so Carmine must have 18 apples, and 5 less then her is the number of apples Rachel has. So, Rachel has 13 apples +/-.
