Place (3x + 1)/12, and (4x)/15 (Note: the bottom triangle's base is 12 + 3)
Set the two equal to each other
(3x + 1)/12 = (4x)/15
Cross multiply
15(3x +1)/12(12) = 12(4x)/15(15)
15(3x + 1) = 12(4x)
Distribute the 15 to the two terms in the parenthesis, and 12 to 4x
15(3x) = 45x
15(1) = 15
12(4x) = 48x
45x + 15 = 48x
Isolate the variable, subtract 45x from both sides
45x (-45x) + 15 = 48x (-45x)
15 = 48x - 45x
Simplify
15 = 3x
Isolate the x, divide 3 from both sides
15/3 = 3x/3
x = 15/3
x = 5
5 is your answer
hope this helps
Answer:
Step-by-step explanation:
In parallelogram opposite sides are equal.
y = 12
x = 5
In parallelogram diagonals bisect each other
z = 8
Answer:
108 feet^2
Step-by-step explanation:
Break it into 2 parts: 1*24 and (24*7)/2
24 + 84 = 108
Answer:
the best predicted pulse rate of a woman who is 66 in tall = 79.78 beats per minute
Step-by-step explanation:
We are given that;
Regression line: y^ = 18.4 + 0.93x
Now we want to find out the best predicted pulse rate of a woman who is 66 in tall.
Thus;
If x = 66, then the predicted height is:y^ = 18.4 + 0.93(66)
y^ = 79.78 beats per minute
Answer:
36 pages
Step-by-step explanation:
If one third of the book is left to read until completion, then Yanni has read two thirds of the book so far.
24 pages is equal to two thirds, so one third will be half of this; 12 pages.
The whole book is three thirds, so 12 * 3, which is 36 pages
