Step-by-step explanation:
∠2 and ∠7 are alternate exterior angles so they are equal.
So you can create the equation
40x-48 = 20x+52 Subtract 20x from both sides. Add 48 to both sides.
20x = 100
x = 5
if you need m∠2 Substtute 5 for x in 20x+52
20(5) + 52 = 100 +52 m∠2= 152°
m∠7 40(5) - 48 = 200-48 m∠7= 152°
Answer:
7 people purchase the items and they used 53 coins
Step-by-step explanation:
Let x represent the number of people.
Let y be the number of coins needed to purchase the items.
If each person pays 8 coins, the surplus is 3 coins. This is illustrated below:
8x = y + 3 (1)
if each person gives 7 coins, the deficiency is 4 coins. This is illustrated below:
7x = y — 4 (2)
Solving by elimination method: subtract equation(2) from equation (1). This is illustrated below:
8x = y + 3 (1)
— (7x = y — 4) (2)
x = 7.
Next, Substituting the value of x into any of the equation to obtain y. In this case I will be using equation 1 as illustrated below:
8x = y + 3 (1)
8(7) = y + 3
56 = y + 3
Collect like terms
y = 56 — 3
y = 53
Therefore, 7 people purchase the items and they used 53 coins
Answer: Refinance the Ballon Payment
Answer:
25477.05
Step-by-step explanation:
Based on the given conditions, formulate: 29100 x (3% + 1) x (1 - 15%)
Calculate the sum or difference: 29100 x 1.03 x 0.85
Calculate the product or quotient: 25477.05