Answer:
The values of the angles are;
m∠DEA = 62°, m∠ADB = 45°
Step-by-step explanation:
Specify an arc or an angle three letters
Angle opposite an arc on the circumference
m DA ≅ m CB = 62° (Arc between parallel lines are congruent)
∠CAB = 1/2 × m CB = 1/2 × 62° = 31° (Angle at the center = 2 × Angle st the circumference)
∠DBA = 31° (Angle at the center m DA = 2 × Angle st the circumference)
m∠DAB = 104° (Given)
∠ADB = 180° - m∠DAB - ∠DBA = 180° - 104° - 31° = 45° (Interior angles of triangle ΔADB
m∠ADB = 45°
∠AEB = 180 - ∠CAB - ∠DBA = 180° - 31° - 31° = 118°
∠AEB ≅ ∠COD (Vertically opposite angles)
∠DEA ≅ ∠CEB (Vertically opposite angles)
∠AEB + ∠COD + ∠DEA + ∠CEB = 360° (Sum of angles at a point)
118° + 118° + ∠DEA + ∠CEB = 360°
∠DEA + ∠CEB = 360° - 118° - 118° = 124°
Given that ∠DEA = ∠CEB we have;
2 × ∠DEA = 124°
∠DEA = 124°/2 = 62°
m∠DEA = 62°.
Answer:
<h2>
the associative property</h2>
Step-by-step explanation:
the associative property, the order of the numbers does not change their product
3 * 8 = 8 * 3
24 = 24
Answer:
Linear function
Step-by-step explanation:
x y Ist difference
-6 -27 -
-5 -21 -21 - (-27) = 6
-4 -15 -15 - (-21) = 6
-3 -9 -9 - (-15) = 6
-2 -3 -3 - (-9) = 6
Since, Ist difference is common in the given table,
(Common difference = 6)
It's a linear function.
Answer:
6 pieces
Step-by-step explanation:
The equation is
4x + 10 = 34
If she had 34 pieces, and kept 10, you can subtract the 10 because she divided the rest of the remaining candy after taking 10.
You now have 24 pieces left to divide, which she does between 4 kids, so you divide it by 4.
