Answer:
4x + 6
Step-by-step explanation:
Given
+ 
Before we can add the fractions we require them to have a common denominator.
Factor the denominator of the first fraction
+
Multiply the numerator / denominator of the second fraction by (x + 2)
= + 
← fractions now have a common denominator
Add the numerators leaving the denominators
= 
= 
= 
← simplified sum with numerator 4x + 6
When x is doubled, y is doubled. When z is multiplied by 5/8, so is y. The result of both changes is that y is multplied by 2·(5/8) = 5/4. The new value of y is
... y = 5/4·320 = 400
_____
If you really want to, you can use the formula
... y = kxz
and compute the value of k as
... k = y/(xz) = 320/(4·16) = 5
Then use this formula with the new values of x and z:
... y = 5·8·10 = 400
Answer:
first angle: 27 degrees
second angle: 135 degrees
third angle: 18 degrees
Step-by-step explanation:
Represent each angle with a variable x and sum them to 180 degrees, the total angle measure of a triangle. So...
first angle: x
second angle: 5x
third angle: 2x/3
x+5x+2x/3=180 Combine like terms
6x+2x/3=180 Change the 6x terms to have a denominator of 3
18x/3+2x/3=180 Combine like terms
20x/3=180 Cross multiply to solve for x
20x=540 so x=27
Now plug in to get angles:
first angle: 27
second angle: 135
third angle: 18
Check: 27+135+18=180
Answer:
24
Step-by-step explanation:
its just the opposite
Answer:
all work is pictured and shown
