Answer:
x = 40°
Step-by-step explanation:
Given that ∠SRT ≅ ∠STR
Then ∠STR = 20
∠STR and ∠STU are what you call supplementary angles. This means that the sum of their measurements is equal to 180° because they form a straight line.
So if:
∠STR + ∠STU = 180°
m∠STU = 4x
m∠STR = 20
Then:
4x + 20° = 180°
Now we solve for x:
x = 40°
Answer:
Step-by-step explanation:
1.rational
2.irrational
3.rational
4.rational
5.rational
6.irrational
30% of 47.50 is 14.25 so the amount payed the person payed in total would be 33.50
0.30 x 47.50 = 14.25
47.50 - 14.25 = 33.50
Subtract the cost of dog food with your total amount and then find the percentage of that amount based on the total you have so in this case it would be 85 / 1695 * 100 and then you will get your percentage
Answer:
<u><em>13.896 kg</em></u>
Step-by-step explanation:
Volume of Gold Bar = Area of [Trapezium x Length of Bar]
Length of Bar = 16 cm
Area of Trapezium = 2 × Area of Triangle + Area of Rectangle
Area of Triangle = 0.5 × 5 × 3 = 7.5 cm²
2 × Area of Triangle = 2 × 7.5 = 15 cm²
Area of Rectangle = 6 × 5 = 30 cm²
Area of Trapezium = 15 + 30 = 45 cm²
Volume of Gold Bar = 45 × 16 = 720 cm³
Density of Gold = 19.3 g/cm³
Mass of Gold Bar = 720 × 19.3 = 13896 g = 13.896 kg
Mass of Gold Bar = 13.896 kg
Therefore the <u>mass</u> of the Gold Bar is: <em><u>13.896 kg</u></em> (kilograms).
