Answer:
m<R = 22.62°
Step-by-step explanation:
Reference angle = R
Opposite = 5 cm
Hypotenuse = 13 cm
Apply the trigonometric function SOH:
Sin R = Opp/Hyp


R = 22.6198649°
m<R = 22.62° (nearest hundredth)
Answer:
x=20
Step-by-step explanation:
Hello There!
Remember the exterior angle of a triangle rule:
An exterior angle of a triangle is equal to the sum of the opposite interior angles
Knowing this, we can create an equation to solve for x
exterior angle (100) = sum of opposite interior angles (3x+2x)
100 = 2x+3x
now we solve for x
step 1 combine like terms
2x+3x=5x
now we have 100=5x
step 2 divide each side by 5
5x/5=x
100/5=20
we're left with x = 20
Answer: C
Explanation:
Since tan(H) equals 1, we can conclude that angle H equals 45 degrees. Therefore, we know that it is a 45-45-90 triangle. Therefore, since both legs are equal, sin or cos doesn’t matter. Therefore, C is correct. (Draw it for yourself, it helps)