<span>The speed is 57.5 m/s and the parachutist will fall 1150 m in 20 seconds.
Explanation<span>:
We start out with the ratio 207 km/1 hr.
We know that 1 km = 1000 m; this means 207 km = 207*1000 = 207000 m. This gives us 207000 m/1 hr.
We know that 1 hr = 60 minutes, so we have 207000 m/60 min.
We also know that 1 min = 60 seconds, so 60 min = 60*60 = 3600 sec; this gives us 207000 m/3600 sec.
Dividing this, we get 57.5 m/s.
In 20 seconds, the parachutist will fall 57.5(20) = 1150 m.</span></span>
Answer:
Step-by-step explanation:
To move the graph 6 units to the right, subtract 6 in the absolute value.
y=|x+5-6|
To move it up, add 2 outside the absolute value.
y=|x+5-6|+2
Now remove the absolute values since x>1.
y=x+5-6+2
y=x+1
(3.14)(21.98)(21.98)
-------------------------------
2
Answer:
c. m∠1 + m∠6 = m∠4 + m∠6
Step-by-step explanation:
Given: The lines l and m are parallel lines.
The parallel lines cut two transverse lines. Here we can use the properties of transverse and find the incorrect statements.
a. m∠1 + m∠2 = m∠3 + m∠4
Here m∠1 and m∠2 are supplementary angles add upto 180 degrees.
m∠3 and m∠4 are supplementary angles add upto 180 degrees.
Therefore, the statement is true.
b. m∠1 + m∠5 = m∠3 + m∠4
m∠1 + m∠5 = 180 same side of the adjacent angles.
m∠3 + m∠4 = 180, supplementary angles add upto 180 degrees.
Therefore, the statement is true.
Now let's check c.
m∠1 + m∠6 = m∠4 + m∠6
We can cancel out m∠6, we get
m∠1 = m∠4 which is not true
Now let's check d.
m∠3 + m∠4 = m∠7 + m∠4
We can cancel out m∠4, we get
m∠3 = m∠7, alternative interior angles are equal.
It is true.
Therefore, answer is c. m∠1 + m∠6 = m∠4 + m∠6