Given:
It is stated that
PQ ⊥ PS and
∠QPR = 7x-9
∠RPS = 4x+22
To find the measure of ∠QPR.
Formula
According to the problem PR sits between PQ and PS,
Consequently,
∠QPR+∠RPS = 90°
Now,
Inserting the values for ∠RPS and ∠QPR yields

or, 
or, 
or, 
or, 
Substituting the value of
into ∠QPR gives us
∠QPR = 
or, ∠QPR = 
So,
The measure of ∠QPR is 40°.
Both A and B.
This is due to the fact that X=3 cleanly divides the rectangle into two equal halves, causing any reflection to resemble the original shape.
Additionally, any shape with two lines of symmetry, when rotated 180 degrees, will align with one of the axes of symmetry and appear the same as the original shape.
Answer:
10,088 pounds
Step-by-step explanation:
Provided data
103 bushels of apples
102 bushels of grapes
101 bushels of oranges
With the respective weight per bushel:
Apples = 32 pounds
Grapes = 25 pounds
Oranges = 42 pounds
The total weight can be calculated by summing the products of each type:
Total Weight: 103(32) + 102(25) + 101(42) = 10,088 pounds
Answer:
The null hypothesis states that 48% of the healthcare provider's members received their flu shot.
The alternative hypothesis claims that the proportion of members who received their flu shot differs from 48%.
Step-by-step explanation:
A null hypothesis is a proposed statement regarding a population parameter that is tested for acceptance or rejection.
An alternative hypothesis presents a contradicting statement to the null hypothesis and is accepted when evidence disproves the null hypothesis.