Answer:
1/2
Step-by-step explanation:
I just did the problem on edgenuity.
Answer:
B- Parallelogram PQRS is also a rhombus.
Step-by-step explanation:
Given
Parallelogram PQRS with perpendicular diagonals
Required
Which of the option is true
(a) PQRS can be a rectangle
A rectangle do not have perpendicular diagonals.
Hence, (a) is false
<em>If (a) is false, then (d) is also false</em>
(b) PQRS can a rhombus
The diagonals of a rhombus are not perpendicular.
So (b) <em>is true</em>
<em>No need to check for (c), since only option is true</em>
Answer:
Step-by-step explanation:
Let the relation between the total number of candies (y) and number of bags (x) is,
y = mx + b
Here, b = Extra pieces of candies sitting outside the box.
m = Candies per box
From the question,
x = 4,(Number of bags are 4)
y = 4m + 4
If total number of candies are 36,
36 = 4m + 4
4m = 32
m = 8
Each bag will contain 8 candies.
Therefore, equation representing the relation is,
y = 8x + 4
Now complete the table by substituting the values of x,
x y
1 12
2 20
3 28
4 36
5 44
6 52
7 60
8 68
9 76
10 84
<span>Simplifying
2(10 + -13x) = -34x + 60
(10 * 2 + -13x * 2) = -34x + 60
(20 + -26x) = -34x + 60
Reorder the terms:
20 + -26x = 60 + -34x
Solving
20 + -26x = 60 + -34x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '34x' to each side of the equation.
20 + -26x + 34x = 60 + -34x + 34x
Combine like terms: -26x + 34x = 8x
20 + 8x = 60 + -34x + 34x
Combine like terms: -34x + 34x = 0
20 + 8x = 60 + 0
20 + 8x = 60
Add '-20' to each side of the equation.
20 + -20 + 8x = 60 + -20
Combine like terms: 20 + -20 = 0
0 + 8x = 60 + -20
8x = 60 + -20
Combine like terms: 60 + -20 = 40
8x = 40
Divide each side by '8'.
x = 5
Simplifying
x = 5</span>
