Answer:
angles 2 and 3 are vertical angles
this is because they are opposing sides of the vertex while also congruent in size
Answer:
Angles 2 and 3
Step-by-step explanation:
Answer: (-9,4)
Step-by-step explanation: First, we set the equation equal to zero by subtracting 36 from both sides to get x² + 5x - 36 = 0.
Next, we factor the left side of the equation
as the product of two binomials.
Since the factors of -36 that add to +5 are +9 and -4,
we have (x + 9)(x - 4) = 0.
This means that either x + 9 = 0 or x - 4 = 0.
Solving each equation from here,
we have x = -9 or x = +4.
So your solution set is (-9,4).
Laci and Leon are saving money to go to an amusement park. Laci has $1 more than 4 times the amount of money Leon has. Together, they have $76 Write an
equation to determine how much money they have together
Answer:
The required equation is: or
Step-by-step explanation:
Consider the provided information,
Laci and Leon are saving money to go to an amusement park. Laci has $1 more than 4 times the amount of money Leon has. Together, they have $76.
Let the amount of money Leon has is x.
Therefore, Laci has
Together they have $76.
Therefore the required equation is:
Hence, Leon has $15.
Therefore, Laci has
Laci has $61.
Answer:
The consecutive even numbers are -42, -44, -46
Step-by-step explanation:
As the numbers are consecutive even integers,
Let,
The first number is "x"
The second number is "x+2"
The third number is "x+4"
According to the equation,
x + (x+2) + (x+4) = -132
As the sum is -132. Now we break the parenthesis by using the addition rule.
or, x + x + 2 + x + 4 = -132
or, 3x + 6 = -132
or, 3x = -132 - 6 (side change)
or, 3x = -138
or, x = -138/3 (interchange)
or, x = -46
Therefore, the first number is -46
The second number is -46+2 = -44
And the third number is -46+4 = -42
The consecutive even numbers are -42, -44, -46