Answer:
A
Step-by-step explanation:
all sides of square is 90degrees
Since AC and BD is the same, when you join the lines together, it will definitely be a square
Answer:
8x² - 15y² + xy
Step-by-step explanation:
(4x + 5y) (2x - 3y) + 3xy
multiplying the terms in brackets
(4x) (2x - 3y) + (5y) (2x - 3y) + 3 xy
multiplying with each terms inside the bracket
(4x)(2x) - (4x) (3y) + (5y) (2x) - (5y) (3y) + 3xy
doing the product each of the pair of terms
8x² - 12xy + 10xy - 15y² + 3xy
taking the sum of terms with coefficient "xy"
8x² - 15y² -2xy + 3xy
8x² - 15y² + xy
Answer: 188 children and 200 adults were admitted
Step-by-step explanation:
Let x represent the number of children that were admitted.
Let y represent the number of adults that were admitted.
On a certain day, 388 people entered the park. It means that
x + y = 388
The admission fee at the amusement park is $2.00 for children and $6.80 for adults. The admission fees collected on that day totaled $1736. It means that
2x + 6.8y = 1736- - - - - - - - - - 1
Substituting x = 388 - y into equation 1, it becomes
2x + 6.8y = 1736
2(388 - y) + 6.8y = 1736
776 - 2y + 6.8y = 1736
- 2y + 6.8y = 1736 - 776
4.8y = 960
y = 960/4.8
y = 200
x = 388 - y = 388 - 200
x = 188
<h3>Multiplication Property of Equality is the missing reason</h3>
<em><u>Solution:</u></em>
Given that,
five thirds times x plus 2 equals negative 3
Therefore,
<em><u>Multiplication Property of Equality</u></em>
The Multiplication Property of Equality means that, if both sides of an equation is multiplied by same number, the equation still remains equal
Multiply both sides by 3
<em><u>Subtraction Property of Equality</u></em>
The Subtraction Property of Equality means that, we can subtract the same number from both sides of equation and the equation will still be true
5x + 6 = -9
Subtract 6 from both sides
5x + 6 - 6 = -9 - 6
5x = -15
<em><u>Division Property of Equality</u></em>
The Division Property of Equality means that, if both sides of an equation is divided by same number, the equation still remains true
5x = -15
Divide both sides by 5
x = -3
