Another path in the community is 2.1 miles long. It has benches at 1/3 And 2/3 of the distance from beginning to end of the path

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°.

Answer: See explanation

Step-by-step explanation:

To determine how many boxes of sugar Alonso can purchase, we can express the scenario as follows:

= 2.75 + 11.50S ≤ 55

Expanding this gives us:

2.75 + 11.50S ≤ 55

11.50S ≤ 55 - 2.75

11.50S ≤ 52.25

S ≤ 52.25 / 11.50

S ≤ 4.54

Thus, he is able to buy 4 boxes of sugar.

The mean is found by summing all data values and dividing that total by the number of values.

The mean fitness score equals 3.2 points. If every student had the identical score, each student's fitness score would be 3.2 points.

Therefore, the correct choice is D. 3.2 points.

Answer:Part a)

Part b) When Jenny divides the square root of her favorite positive integer by , the result is an integer.

Step-by-step explanation:

Let

x-------> the favorite positive integer

Part a)

1) For

-----> the product results in an integer

thus

The number could potentially be Jenny's favorite positive integer

2) For

-----> the product results in an integer

thus

The number could potentially be Jenny's favorite positive integer

3) For

-----> the product results in an integer

thus

The number could potentially be Jenny's favorite positive integer

Part B)

1) For

-----> the outcome is an integer

2) For

-----> the outcome is an integer

3) For

-----> the outcome is an integer

Therefore

When Jenny divides the square root of her favorite positive integer by , she obtains an integer as a result.