B is the rational number since 0 is a rational number and A can't be the rational number because it goes on forever.
The attachment shows work for A and B
Answer:
28 x 48 = 1344 - 5X43=170
1344-170=1174
Answer:
see below
Step-by-step explanation:
1. m∠DEF = m∠_FEK___ = 44° = Def. of ∠ bisector
2. m∠DEK = m∠_DEF___+m∠FEK___= _angle addition postulate________________
3. m∠DEK = _44___ + _44___ = 88° = Substitution, Algebra
4. DE = _KE____ = Given
5. EF = _FE____ = Reflexive property
6. △DEF ≅ △_KEF____ = _SAS postulate________________
7. DF = FK_____ = ___CPCTC (corresponding parts of congruent triangles are congurent)______________
8. KF = 1/2DK =8 _____ = Algebra, 7
Answer:
(x, y, z) = (-8,4,-2)
Step-by-step explanation:
.......................................
Answer:
24.03 units (nearest hundredth)
Step-by-step explanation:
The distance between B and A is: AB = AH + HB
We have been given AH, so we just need to find the measure of HB.
First, find the angle AOH using tan trig ratio:

where:
is the angle- O is the side opposite the angle
- A is the side adjacent the angle
Given:
= ∠AOH- O = AH = 8
- A = OH = 19.80


∠BOA = ∠BOH + ∠AOH
⇒ ∠BOH = ∠BOA - ∠AOH
⇒ ∠BOH = 61° - 22.00069835°
= 38.99930165°
Now we can find HB by again using the tan trig ratio:
Given:
= ∠BOH = 38.99930165°- O = HB
- A = OH = 19.80
Substituting given values:



Therefore:
AB = AH + BH
⇒ AB = 8 + 16.03332427
= 24.03 units (nearest hundredth)