Answer:
x = 17 and y = 8
Step-by-step explanation:
Since (6x + 3) and (8x - 31) are alternate interior angles, they are congruent.
Therefore, you can set them equal to each other and solve for x.
8x - 31 = 6x + 3
Combine like terms
2x = 34
Divide both sides by two
x = 17
Since (5y + 35) and (6x + 3) are consecutive interior angles, they add up to 180. Plug in 17 for x.
(5y + 35) + (6(17) + 3) = 180
Add like terms
5y + 140 = 180
5y = 40
y = 8
Answer:
Step-by-step explanation:
the current ages:
father= 32 yrs old
son=5 yrs old
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4(5+x) = 32+x
20+4x = 32+x
4x-x = 32–20
3x =12
x = 12/3
x = 4 years
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after the 4 years later the farther age will be 36 ( 32+4 = 36)
the son will be 9 ( 5+4= 9 years)
the x presents how the father will be after 4 times the age of the son
Answer:
Step-by-step explanation:
^^there are 20 Trucks in total And 5 cars
Answer:
-3 is the coefficient of c.
Step-by-step explanation:
The given expression is :
9a³ + 4b² - 3c + 11
We need to find the term with coefficient -3 in the expression.
The coefficient is defined as a number or quantity placed with a variable.
The coefficient of a³ = 9
The coefficient of b² = 4
The coefficient of c = -3
Hence, -3 is the coefficient of c.
Answer:
$1,700
Step-by-step explanation:
Given the following :
Period of mortgage = 25 years
Mortgage amount = $130,000
Total interest on mortgage = $380,000
Hence,
Total amount to be paid ( principal + interest) :
($130,000 + $380,000) = $510,000
Total number of months over the 25 years period:
25 × 12 = 300 months
Payment per month:
Total repayment / number of months
= $510,000 / 300
= $1,700 per month
