Answer:
Step-by-step explanation:
Since the ratio is 4x:4x:7x, if we add all those numbers up we get 15. Then we do 75/15 to get what x equals. So we get 5. So x equals 5. Following the rules of multiplication, you do 4(5):4(5):7(5), and simplifying that further, you get 20:20:35. If we add all those values up, we should get 75, and we do!
If you're wondering why I did 4x:4x:7x instead of 4:4:7, it's because a ratio is just a...well ratio? It's easier to visualize if you put a variable because the variable could be anything, and you would have to multiply all the given values to get the same proportions. In summery, I did it so it was easier to visualize
Answer:
x=8
z = 115
Step-by-step explanation:
65 and 13x - 39 are vertical angles so they are equal
65 = 13x - 39
Add 39 to each side
65+39 = 13x - 39+39
104 = 13x
Divide each side by 13
104/13 = 13x/13
8 =x
65 and z are supplementary angles because they form a straight line. This means they add to 180
65+z = 180
Subtract 65 from each side
65+z-65 = 180-65
z = 115
Answer:
a.
1. The rule in this sequence is (+5) every next pattern
2. 22, 27, 32, 37
3. 42
4. 12 term
5. 67
b.
1. The rule in this sequence is (-3) every next pattern
2. -7, -10, -13, -16
3. -16
4. 13 term
5. -37
Step-by-step explanation:
64%, because 40% of 60% is 24%, and 2 mg of pure copper is 40% of the overall alloy, so add 24 and 40
