Answer:
18 and 19
Step-by-step explanation:
Consecutive positive integers have a difference of 1 between them
let n and n + 1 be the 2 integers, then
n(n + 1) = 342, that is
n² + n = 342 ( subtract 342 from both sides )
n² + n - 342 = 0 ← quadratic equation in standard form
(n + 19)(n - 18) = 0 ← in factored form
Equate each factor to zero and solve for n
n + 19 = 0 ⇒ n = - 19
n - 18 = 0 ⇒ n = 18
However, n > 0 ⇒ n = 18 and n + 1 = 18 + 1 = 19
The 2 integers are 18 and 19
6x1=__________________
Answer would then be c
160 is the answer if im right
The student first made an error in step 2 when she simplified... She should have used the distributive property to distribute the -4 through the parentheses. It should look like this...
-4 (y) = -4 (4 - 2z)
-4y = -16 + 8z
Answer:
Measure of each angle is 90 degree.
Step-by-step explanation:
Given : If two consecutive angles of a parallelogram are congruent.
To find the measure of each angle:
There are 6 important properties of parallelograms:
- Opposite sides are congruent.
- Opposite angles are congruent
- Consecutive angles are supplementary.
- If one of the angle is right angle, then all angles are right.
- Diagonals of a parallelogram bisect each other
- Also, each diagonal of a parallelogram separates it into two congruent.
let A and D be two consecutive angle.
then, by the given condition
......[1]
From the property of parallelogram:
Consecutive angles are supplementary
Then;
From equation [1];
Combine like terms :
Divide both sides by 2 we get;
Simplify:
From the given property of parallelogram : if one of the angle is right, then all the angles in the parallelogram are right angle.
∴
Therefore, the measure of each angle is