Answer: <em>x = 19</em>
Hi! I was studying for the NYC SHSAT when this exact problem came up a year ago. I will do my best to try to answer it correctly!
Step-by-step explanation:
To start, we have to notice the similar properties of the angles. They are alternate exterior angles (?). Therefore, I think that you just have to put the angles on opposite sides of the equation!
(6x + 6) = 120
-6 -6
6x/6 = 114/6
x = 19
Answer:
<h3>36 and 12</h3>
Step-by-step explanation:
Let the two positive integers be x and y.
If their product is 432, then
xy = 432 ......... 1
Also if the sum of the first plus three times the second is a minimum, then;
p(x) = x + 3y
From 1;
y = 432/x ..... 3
Substitute 3 into 2;
p(x) = x+3y
p(x)= x + 3(432/x)
p(x) = x + 1296/x
Since the expression is at minimum when dp(x)/dx = 0
dp/dx = 1 + (-1296)/x²
dp/dx = 1 -1296/x²
0 = 1 -1296/x²
0 = (x²-1296)/x²
cross multiply
0 = x²-1296
x² = 1296
x = √1296
x = 36
Since xy = 432
36y = 432
y = 432/36
y = 12
Hence the two positive numbers are 36 and 12
Answer:
If an object on Mercury weighed 25lb, it would weigh 75lb on Earth
(25 * 3 = 75)
The answer is b
:")
Answer:
210
Step-by-step explanation:
7 * 3 = 21
70 * 3 = 210
