Answer:
x° is 66°
Step-by-step explanation:
From the given diagram, we have;
∠JIH = 105° Given
∠IDJ = 39° Given
Therefore, we have;
∠JID and ∠JIH are supplementary angles, by the sum of angles on a straight line
∴ ∠JID + ∠JIH = 180° by definition of supplementary angles
∠JID + 105° = 180° by substitution property
∠JID = 180° - 105° = 75° by angle subtraction postulate
∠JID = 75°
∠IDJ + ∠JID + ∠IJD = 180° by the sum of interior angles of a triangle
∠IJD = 180° - (∠IDJ + ∠JID) = 180° - (39° + 75°) = 66° angle subtraction postulate
∠IJD = 66°
∠x° ≅ ∠IJD, by vertically opposite angles
∴ ∠x° = ∠IJD = 66° by the definition of congruency
∠x° = 66°
3/16=5/x
times both sides by 16x (aka cross multiply
3x=5*16
3x=80
divide both sides by 3
x=80/3
x=26 and 2/3
the missing number is 80/3 or 26 and 2/3
Answer:
$15
Step-by-step explanation:
$3 correspond is the 20% discount of the total price.
If the total price is x then you can express the discount as:
0.20x = 3
x = 3/0.20
x = 15
4.8 / 96 = x / 120
96x = 576
x = 576/96
x = 6
check :
unit rate for 96 oz container at 4.80 = 4.80/96 = 0.05 per oz
unit rate for 120 oz container at 6.00 = 6.00/120 = 0.05 per oz
Basically ur looking for an equivalent fraction (and that is what proportions are...this will reduce to the same unit rate. So ur answer is $ 6.00
