Hey there!
ORIGINAL EQUATION:
1/2y + 1 = 2
SUBTRACT 1 to BOTH SIDES:
1/2y + 1 - 1 = 2 - 1
CANCEL OUT: 1 - 1 because it give you 0
KEEP: 2 - 1 because it help solve for the y-value
NEW EQUATION: 1/2y = 2 - 1
SIMPLIFY IT!
1/2y = 1
MULTIPLY 2 to BOTH SIDES
1/2y * 2 = 1 * 2
CANCEL out: 1/2 * 2 because it give you 1
KEEP: 1 * 2 because it give you the y-value
NEW EQUATION: y = 2 * 1
SIMPLIFY IT!
y = 2
Therefore, your answer is: y = 2
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Presumably l and m are parallel, so n and p are transversals across parallel lines. They'll make the obvious congruent angles and supplementary angles (add to 180 degrees) that presumably the questions will be asking about.
1. Angle 11 and angle 16. They're what's called vertical angles from a pair of crossing lines. Vertical angles are congruent, so m∠16 = 113°
2. Angle 1 and 3. Those are corresponding angles on a traversal of parallels, also congruent. m∠3 = 78°. You got this one right, good.
3. 7 & 8. They're what's called a linear pair, so are supplemental. 180-129=51 so m∠8 = 51°. You probably just subtracted wrong on this one.
4. 10 & 11. I forgot what these are called; interior angles or some such. Anyway they're supplementary so 180-77=103. m∠11 = 103°
5. 13 & 12. I forgot the name here too but they're congruent so m∠12 = 59°
6. 2 & 7. Again congruent so m∠7 = 130°
7. I don't know why they insist on making geometry into algebra. Here we have angles 1 & 8, which are congruent, so
5x + 2 = 3x + 28
5x - 4x = 28 - 2
2x = 26
x = 13
Answer:
Set up the area/circumference equations using x as the unknown variable. Then, solve for that variable and apply the correct unit.
Step-by-step explanation:
For example,
Find the side length of a square with an area of 49 square centimeters.
Since 
, i can write 
Answer:
d^2 = 30^2 + 12^2
e^2 = d^2 + 8^2
e^2 = 30^2 + 12^2 + 8^2
e = √(30^2 + 12^2 + 8^2) = 33.3 ft
