Answer:
∠ EFH = 112°
Step-by-step explanation:
∠ ACD and ∠ EFH are Alternate exterior angles and are congruent, thus
11x - 20 = 9x + 4 ( subtract 9x from both sides )
2x - 20 = 4 ( add 20 to both sides )
2x = 24 ( divide both sides by 2 )
x = 12
Thus
∠ EFH = 11x - 20 = 11(12) - 20 = 132 - 20 = 112°
Answer:
They're supplementary angles AND same-side interior angles.
Answer:
Step-by-step explanation:
11/8 as a decimal... 1.375
5/9 as a decimal... 0.55555556
Step-by-step explanation:
Use SOH-CAH-TOA.
Sine = Opposite / Hypotenuse
Cosine = Adjacent / Hypotenuse
Tangent = Opposite / Adjacent
Let's start with #12. The hypotenuse is 18. The side adjacent to ∠B is 6. Since we have the adjacent side and hypotenuse, we should use cosine.
cos B = 6/18
Solving for B:
B = cos⁻¹(6/18)
Using a calculator:
B ≈ 70.5°
Now let's do #14. The side adjacent to ∠B is 19, and the side opposite of ∠B is 22. Since we have the adjacent side and opposite side, we should use tangent.
tan B = 22/19
Solving for B:
B = tan⁻¹(22/19)
Using a calculator:
B ≈ 49.2°
Answer:
The answer is 84.
Step-by-step explanation:
The given equation is
4x*2 + 2x -5 = 0
Here a= 4, b= 2, c= -5
Since Discriminant= b*2 -4ac
Putting values
Discriminant= (2)*2 - 4(4)(-5)
= 4 + 80
= 84
Since our Discriminant(84) is >0 and is not a perfect square so the roots of the given equation are unequal and irrational(real).
