Answer:
x = 2
Step-by-step explanation:
Distribute the 1/2 on the left side to each term
1/2 * 10x + 1/2 * 4 = 12
Now multiplication first before addition on the left side.
5x + 2 = 12
Subtract 2 on both sides
5x = 10
Divide by 5 on both sides
x = 2
Check work
1/2(10(2) + 4) = 12
1/2(20 + 4) = 12
1/2 * 24 = 12
24/2 = 12 = 12
Answer:

Step-by-step explanation:
Firstly, move over the negative 3/4 fraction (don't forget to swap the operation i.e subtract to add):

Now, to add the two fractions, simply multiply the numerator and denominator by 3:

Now add this to the other fraction:

This can be simplified down by dividing both the numerator and denominator by 4:

Which now simplifies the original equation to:

Remove the y out of the fraction:

Now multiply both sides by 8:



Hope this helps!
Answer: the 1st one transitive property
Step-by-step explanation:
Answer:
a) 69
b) 69
Step-by-step explanation:
Since 69 and x are alternate interior angles, they must be congruent, and therefore x must equal 69 degrees. Similarly, since y and 111 must be supplementary, it must also be equal to 180-111=69 degrees. Hope this helps!