Answer:
∠ CDA = 32.3°
Step-by-step explanation:
See the given figure attached to this answer.
Draw perpendiculars from B and C on AD which is BE and CF.
Now, Δ ABE is a right triangle and AE² = AB² - BE² = 7.5² - 6² = 20.25
⇒ AE = 4.5 cm
Now, DF = AD - EF - AE = 24 - 10 - 4.5 = 9.5 cm {Since BC = EF}
And CF = BE = 6 cm.
Now, Δ CFD is a right triangle and
{Where β = ∠ CDA}
⇒ 
Degree.
So, ∠ CDA = 32.3° {Correct to one decimal place} (Answer)
Answer:
.15 kilometers or 150 meters
Step-by-step explanation:
Answer:
length= √[ (a-c)^2 + (b-d)^2 ]
Step-by-step explanation:
Do distributed property
7/3+3(2/3-1/3)^2
7/3+3×(2/3-1/3)^2
7/3+3×(1/3)^2
7/3×3×1/9
7/3×1/3
7+1/3
8/3 or 2 and 2/3 or 2.66667
Answer:
Step-by-step explanation:
5. a) ∠1 and ∠2 are remote interior angles of ∠ACD so that means that ∠ACD = ∠1 + ∠2
b) Because an exterior angle is the sum of its two remote interior angles it makes sense that an exterior angle is greater in measure than either of its remote interior angles.
6. BD = DB Reflexive property
∠3 = ∠5, ∠4 = ∠6 Alt. int. angles
ΔADB = ΔCDB ASA
7. AB = BC Def. of midpoint
∠1 = ∠2 Given
∠BAE = ∠CBD Corresponding angles
ΔBAE = ΔCBD ASA
∠D = ∠E CPCTC
