Answer:
105degrees
Step-by-step explanation:
Using the theorems that states that the sum of the opposite side of the quadrilateral is 180degrees, hence;
<RST + <TQR = 180
5x+15 + 4x+ 3 = 180
9x + 18 = 180
9x = 180 - 18
9x = 162
x = 162/9
x = 18
Since <RST = 5x+15
<RST = 5(18) + 15
<RST = 90 + 15
<RST = 105degrees
Hence the measure of <RST is 105degrees
A² + b² = c²
3² + 6² = x²
x² = 9 + 36
x² = 45
x = √45
x = 3√5
Answer: x = 3√5
Answer:
Kevin will take 3 hours to make all pieces.
Step-by-step explanation:
Kevin is building a large model of a soccer ball which is made of 20 hexagons and 12 pentagons.
Time taken by Kevin to measure and cut each hexagon = 6 minutes
Therefore, time taken to make 20 hexagons = 6×20 = 120 minutes
Similarly time taken by him to measure and cut a pentagon = 5 minutes
So, time taken to make 12 pentagons = 12×5 = 60 minutes
Total time taken to measure and cut 12 pentagons and 20 hexagons = 60+120 = 180 minutes
Therefore, Kevin will take 180 minutes or 3 hours to make all pieces.
Answer:
1/12 gallon
Step-by-step explanation:
Each container got 1/3 of the original amount, so ...
(1/3)(1/4 gal) = 1/12 gal
Stevie put 1/12 gallon of paint in each container.
Answer: 70
V = 15.14/3 = 5.14 = 70 (in³)
Step-by-step explanation: