Answer:
<h2>
m∠a = 67° , m∠b = 42°</h2>
Step-by-step explanation:
∠a is alternate interior angle to ∠ECD
∠b is alternate interior angle to ∠BCD
so:
If AB || CD then:
m∠a = m∠ECD = 25° + 42° = 67°
m∠b = 42°
Answer:
The coefficient is 6
Step-by-step explanation:
Answer:
39.50
42.50
Step-by-step explanation:
Age of the 2 men = sum of the ages of the 6 men - sum of the ages of the 4 men
Average = sum of ages / total number of men
35 = sum of ages / 6
sum of ages = 35 x6 = 210
32 = sum of ages / 4
32 x 4 = sum of ages
128
210 - 128 = 82
age of the younger man = x
age of the older man = 3 + x
x + 3 + x = 82
2x + 3 = 82
2x = 82 - 3
2x = 79
x = 79/2 = 39.5
older man = 39.5 + 3 = 42.50
Answer:
See explanation.
Step-by-step explanation:
Common factor: y
9514 1404 393
Answer:
∠B = 53°
∠C = 127°
∠D = 127°
Step-by-step explanation:
The trapezoid is isosceles, as indicated by the hash marks on sides AD and BC. This means it is symmetrical about the vertical center-line. Angles on the right will have the same measures as the symmetrical angles on the left.
So, you know immediately that ∠B = ∠A = 53°.
Because AB ║ DC, ∠A and ∠D are supplementary. That is, ...
∠D = ∠C = 180° -53°
∠D = ∠C = 127°
