Answer:
m∠P=140°
Step-by-step explanation:
Given:
∠P and ∠Q are supplementary angles.
The measure of angle P is five less than four times the measure of angle Q.
To find m∠P
Solution:
The measure of angle P can be given as:
A) 
And
B) 
[Definition of supplementary angles]
Substituting equation A into B.
Solving for 
Using distribution:
Simplifying by combining like terms.
Adding 20 to both sides.
Dividing both sides by 5.
Substituting in equation B.
Subtracting both sides by 40.
Thus, we have:
m∠P=140° (Answer)
we are supposed to find
Which of these properties is enough to prove that a given parallelogram is also a Rectangle?
As we know from the theorem, if the diagonals of a parallelogram are congruent then the parallelogram is a rectangle.
The other options The diagonals bisect each other is not sufficient because in parallelogram diagonals always gets bisected , parallelogram becomes rectangles only if both the diagonals are of same length.
In a parallelogram The opposite angles and opposite sides are always equal.
Hence the correct option is
The diagonals are congruent.
Answer:
<em>12 scoops of dog food are needed for 6 dogs,</em>
Step-by-step explanation:
<u>Proportions</u>
The number of scoops of dog foods and the number of dogs are proportional variables.
We are given that 10 scoops of dog foods are used for 5 dogs. This gives a proportion of 10/5=2 scoops per dog.
We also know that 16 scoops are used for 8 dogs. The proportion is also 16/8=2 scoops per dog.
Thus, the constant of proportionality is 2.
For 6 dogs, you need to prepare 2*6 = 12 scoops of dog food.
12 scoops of dog food are needed for 6 dogs,
