Answer: ( x + 8, y -7)
x value is moved 8 units to the left. So add 8 to x value.
Y value is moved 7 units down. So subtract 7 from y value
3n+4=32÷2
3n+4=16
subtract 4 from both sides
3n=12
divide both sides by 3
n=4
The interior angles of any triangle must add up to 180° in measure. Right angles have measure 90°, so the missing angles in both triangles here have measure 45°.
In a 45°-45°-90° triangle, the legs and hypotenuse occur in a ratio of 1 : √2. This means
(1) <em>x</em> = 48 √2
(2) 88 = √2 <em>x</em> → <em>x</em> = 88 / √2 = 44 √2
You could also set up trigonometric equations to solve for <em>x</em> in each case:
(1) cos(45°) = 48 / <em>x</em> → <em>x</em> = 48 / cos(45°) = 48 / (1 / √2) = 48 √2
(2) cos(45°) = <em>x</em> / 88 → <em>x</em> = 88 cos(45°) = 88 (1 / √2) = 44 √2
Answer:
Tamu burnt 5.66 calories per minute.
Step-by-step explanation:
Tamu ran for 30 minutes.
Calories burnt by Tamu = 170 calories
Unit rate =
Unit rate =
Unit rate = 5.66 calories per minute
Therefore,
Tamu burnt 5.66 calories per minute.
Answer:
T = 4x - 5
Step-by-step explanation:
Let x = Ben's age
2x = Chloe's age
x - 5 = Dan's age
Combine all the terms and simplify to form an equation.
T = 2x + x + x -5
T = 4x - 5