The shape PQRS is a parallelogram
- The measure of angle QRS is 70 degrees
- The measure of angle PQS is 53 degrees
- The measure of angle RPS is 35 degrees
- The measure of angle PSQ is 53 degrees
The given parameters are:



<u>(a) Find QRS</u>
This is calculated as:

So, we have:


Hence, the measure of angle QRS is 70 degrees
<u>(b) Find PQS</u>
This is calculated as:

So, we have:


Hence, the measure of angle PQS is 53 degrees
<u>(c) Find RPS</u>
This is calculated as:

Where:

So, we have:

Hence, the measure of angle RPS is 35 degrees
<u>(d) Find PSQ</u>
This is calculated as:

Where:

So, we have:

Hence, the measure of angle PSQ is 53 degrees
Read more about angles in a parallelogram at:
brainly.com/question/12186483
Answer:
Step-by-step explanation:
y=mx+b where m=slope and b=y intercept
m=(y2-y1)/(x2-x1), we have points (0,0) and (4,12)
m=(12-0)/(4-0)=12/4=3
y=3x+b, using point (4,12) we can solve for b
12=3(4)+b
12=12+b
b=0 so the line is
y=3x
The output is the cute of the input is written as y = x³.
Answer:
Intervalo de confianza
= (0.294, 0.386)
Step-by-step explanation:
La fórmula para el intervalo de confianza para la proporción se da como
p ± z × √p (1 - p) / n
Donde p = x / n
De donde de la pregunta anterior
x = 136 personas
n = 400 personas
p = 136/400
p = 0.34
z = puntuación z del intervalo de confianza del 95% = 1.96
Por lo tanto,
Intervalo de confianza =
0.34 ± 1.96 × √0.34 (1 - 0.34) / 400
= 0.34 ± 1.96 × √0.34 × 0.66/400
= 0.34 ± 1.96 × √0.000561
= 0.34 ± 1.96 × 0.0236854386
= 0.34 ± 0.0464234596
Intervalo de confianza
= 0.34 - 0.0464234596
= 0.2935765404
= 0.34 + 0.0464234596
= 0.3864234596
Hence:Intervalo de confianza
= (0.294, 0.386)
Answer:

Step-by-step explanation:

The total number of caps or shirts needed will be equal to the total amount of people in the system.

We can multiply the amount of caps and shirts by their price to get the total price needed.

We can substitute one equation into another to solve for x.
Now we put our x value back into the other equation to get y

Now we substitute both of our values into our second equation to verify that they are correct

So correct!