Answer:
1. a + b + c = 180
2. b + d = 180
3. d = a + c
Step-by-step explanation:
1. a + b + c = 180:
Angles in a triangle add up to 180
2. b + d = 180:
Angles in a straight line equal 180 because they are supplementary angles
3. d = a + c:
ΔACD is an exterior angle, and ΔACB is interior adjacent, hence ∠a and ∠c add up to ∠d
Elga’s age is 40 and Alvin’s age is 54
Answer:
A. 
B. Perimeter = 190.6 yd
Step-by-step explanation:
A. Distance between P(10, 50) and R(80, 10):





(nearest tenth)
B. Distance around the park = Perimeter = PR + PQ + QR
PR = 80.6 yd
PQ = |50 - 10| = 40 yd
QR = |80 - 10| = 70 yd
Perimeter = 80.6 + 40 + 70
Perimeter = 190.6 yd
Answer:
No
Step-by-step explanation:
To calculate the number of tiles needed
divide 4m by 0.2m for row of tiles ⇒ 20 tiles per row
divide 3m by 0.2m for column of tiles ⇒ 15 tiles per column
number of tiles = 20 × 15 = 300
number of packs = 300 ÷ 10 = 30
cost = 30 × £34.99 = £1049.70
Since she has £1000 to spend and £1049.70 > £1000
She does not have enough to cover the wall
Answer:
She’s 18
Step by step explanation:
18+13=31