Answer:
B. m∠RTS = 78°
Step-by-step explanation:
The sides GH and GI of ΔGHI have the same length, so their opposite angles, ∠I and ∠H will have the same measures. Call that measure "x".
The sum of angles in a triangle is 180°, so we have ...
24° +x +x = 180°
2x = 156° . . . . subtract 24°
x = 78° . . . . . . divide by 2
The triangle similarity statement tells you that ∠T will have the same measure as ∠I, which is x, or 78°.
m∠RTS = 78°
p=3h + 3u subtract 3u from both sides
p-3u=3h now divide both sides by 3
h = p/3 - u
Answer:
E = 216 joules
Step-by-step explanation:
The given equation is
E = 
............(i)
Here
m = 3 kg
v = 12 m/s
Putting the given values in equation (i)
E = 
E = 
E = 
E = 216 kg m² /s²
or
E = 216 joules
The problem is using a right triangle, it means we can use the Pythagorean theorem in solving the problem. We have two possible measurements for the third side.
First length, when the third side is the hypotenuse:
x ² = 15² + 12²
x = 19.21
Second possible length, when the third leg is either an adjacent or base side:
15² = x² + 12²
x = 9
Therefore, the difference between the two possible answers are shown below:
Difference = 19.21 - 9 = 10.21
Answer:
a² + b² = c²
28² + 45² = c²
784 + 2025 = 2809
Square root of 2809 is 53
The hypotenuse is 53
