Answer:
Natalie is 15
Fred is 24
Step-by-step explanation:
You would first create equations to represent the problem. You would then solve for a variable (I chose to solve for y). I subtracted each equation from each other which helped me isolate y, which equaled 15. I then substituted y for 15 which allowed me to isolate x, which gave me 24.
(the equations)
x + y = 39
x + 3y = 69
(solving for y)
x + 3y = 69 - x + y = 39
x-x +3y -y = 69 - 39
2y = 30
y = 15
(solving for x)
x + 15 = 39
x +15 -15 = 39 -15
x = 24
Next time, please begin with a question of your own, and share whatever work you have done.
Look at the illustration. You want to reflect point J in the origin. Point J's coordinates are (0,3). If you reflect this point in the origin, you'll get the new point J' as (0,-3).
Next, reflect point I in the origin. The original point I is (-4,4). Reflecting this in the origin takes you from Quadrant 2 to Quadrant 4. The coordinates of the new point I' are (4,-4). Spend enuf time with this so that it becomes clear.
Next, reflect point K in the origin. You might want to draw a straight line thru point K and the origin. The new point, K', will lie on this line the same distance from the origin as is the old point K is from the origin.
Answer:
(-5,5)
Step-by-step explanation:
Look across the y-axis and you find the corresponding pair.
Answer:
39
Step-by-step explanation:
(x + 43) +29 + (180 - 111) = 180 ----- (x+43 = 1st angle; 29 = 2nd angle (vertical angle theorem); 180 -111 = 3rd Angle (Linear Pair); 180 = Sum (Tirnagle Angle Sum))
x + 43 + 29 + 69 = 180 -->
x + 141 = 180 -->
x = 39
Circumference of a circle is c=2πr
r=14in
-> c=2*14*π=28π
3 rotations->trace length=3c=3*28π=84*π inch≈263.89 inch≈22 feet
