m∠P = 144°
Solution:
PQRS is a parallelogram.
m∠P = 12a°, m∠Q = (4a - 12)° and m∠S = 3a°
<em>In parallelogram, opposite angles are congruent.</em>
m∠Q = m∠S
4a° - 12° = 3a°
Add 12° on both sides.
4a° - 12° + 12° = 3a° + 12°
4a° = 3a° + 12°
Subtract 3a° on both sides.
4a° - 3a° = 3a° + 12° - 3a°
a° = 12°
<u>To find the measure of angle P:</u>
m∠P = 12a°
= 12(12°)
m∠P = 144°
Answer: 360m/s
Step-by-step explanation: mark meas brainliest
Answer:
2300 liters of water.
Step-by-step explanation:
The volume of the barrel is 4.6 m^3, and we know that this is half--filled with water.
Then the total volume of water inside the barrel is:
(4.6 m^3)/2 = 2.3 m^3
So we have 2.3 m^3 of water, and we want to write this in liters.
We know that 1 liter = 0.001 m^3
then:
1 = (1 L)/(0.001 m^3)
Now we can rewrite:
2.3 m^3 = (2.3 m^3)*1 = (2.3 m^3)* (1 L)/(0.001 m^3) = (2.3 m^3/0.001 m^3)* 1L
2.3 m^3 = 2300 L
So we have 2300 liters of water in the barrel.
Answer for Question 1 is option 2
Answer for Question 2 is option 3
Answer for Question 3 is option 3
Step-by-step explanation:
For question 1 by plotting the two points we get the coordinates as (-2, 3) and (2, 1) where the x values are -2, 2 and the y values are 3, 1 respectively. By substituting values of x in the formula given we get that equation 2 satisfies the values of y as in the graph.
For question 2 the plotted line is split into two parts where one half is for values of x <2 and the other half is for values of x>2. By finding out the coordinates we get them as (2,-2), (1,-2.5) and (0,-3) for x<2 and by substituting the values of x in the formula we get option 3 as our answer.
For question 3 we need to find the value of y when x=3 and the first condition is only for values greater than 3 so we take the second condition and substitute the value of x=3 and we get the value of y as 5 so the answer is option 3
