Answer:
m<CAO = 56
Step-by-step explanation:
When two parallel lines are intersected by a transversal, the same-side interior angles are supplementary, meaning that their angle measures add up to (180) degrees. Using this information, substitute in the given values and solve for the unknown,
(m<DOA) + (m<CAO) = 180
Substitute,
3x + 40 + 2x = 180
Simplify,
5x + 40 = 180
Inverse operations,
5x + 40 = 180
-40 -40
5x = 140
/5 /5
x = 28
Now substitute the value of (x) back into the given expression for the value of (<CAO). Solve to find the numerical value.
<CAO = (2x)
= 2(28)
= 56
Answer:
The proof is derived from the summarily following equations;
∠FBE + ∠EBD = ∠CBA + ∠CBD
∠FBE + ∠EBD = ∠FBD
∠CBA + ∠CBD = ∠ABD
Therefore;
∠ABD ≅ ∠FBD
Step-by-step explanation:
The two column proof is given as follows;
Statement 
Reason
bisects ∠CBE Given
Therefore;
∠EBD ≅ ∠CBD Definition of angle bisector
∠FBE ≅ ∠CBA Vertically opposite angles are congruent
Therefore, we have;
∠FBE + ∠EBD = ∠CBA + ∠CBD Transitive property
∠FBE + ∠EBD = ∠FBD Angle addition postulate
∠CBA + ∠CBD = ∠ABD Angle addition postulate
Therefore;
∠ABD ≅ ∠FBD Transitive property.
How do I convert these improper fractions to mixed numbers: 29/4, 13/6, 73/9, 65/8, 17/2, 5/2, 25/4, 43/7, 29/4, 73/9, 19/3, 43/
slava [35]
Divide the numerator by the denominator
use the answer as the whole number
use the remainder as the numerator
keep the deniminator
the answers:
7 1/4
2 1/6
8 1/8
8 1/2
2 1/2
6 1/4
6 1/7
7 1/4 (same question)
8 1/8 (same question)
6 1/3
2 1/5
9 1/10
6 1/6
