This is least to greatest
2 2/5 or 2.40
2.45
2 2/3
2 2/5 , 2.45 , 2 2/3
Answer: The ratio is 2.39, which means that the larger acute angle is 2.39 times the smaller acute angle.
Step-by-step explanation:
I suppose that the "legs" of a triangle rectangle are the cathati.
if L is the length of the shorter leg, 2*L is the length of the longest leg.
Now you can remember the relation:
Tan(a) = (opposite cathetus)/(adjacent cathetus)
Then there is one acute angle calculated as:
Tan(θ) = (shorter leg)/(longer leg)
Tan(φ) = (longer leg)/(shorter leg)
And we want to find the ratio between the measure of the larger acute angle and the smaller acute angle.
Then we need to find θ and φ.
Tan(θ) = L/(2*L)
Tan(θ) = 1/2
θ = Atan(1/2) = 26.57°
Tan(φ) = (2*L)/L
Tan(φ) = 2
φ = Atan(2) = 63.43°
Then the ratio between the larger acute angle and the smaller acute angle is:
R = (63.43°)/(26.57°) = 2.39
This means that the larger acute angle is 2.39 times the smaller acute angle.
5 packs of erasers and 3 packs of pencils each will have 60
Answer:
a. 86-degrees; angle-2 corresponds to the given angle.
Step-by-step explanation:
Angle 2 is 86 degrees. Whenever a line is bisected by another line, 4 angles are formed. The opposite angles aka the kissing V's have the same angle measurement. Angle 2 and 86-degrees are the kissing V's here, thus they have the same angle measure.
