Answer:
it could be 1/1 or 2/2 or 3/3 or 4/4 or 5/5 or 6/6 it is the same thing just put the number like how i did depending on the question
Step-by-step explanation:
The true statements about the diagram given are:
3. m∠JKL = 45°
4. m∠MKQ + m∠PKQ = m∠PKM
5. PK is an angle bisector
<h3>What is an Angle Bisector?</h3>
An angle bisector is a segment that divides a given angle into two parts that are congruent to each other.
The missing part of the question is in the image attached below.
In the image given, PK bisects the straight angle JKM since angles JKP and MKP both equal 90 degrees (right angle).
Therefore, m∠JKL = m∠PKL = 45°
m∠MKQ + m∠PKQ = m∠PKM based on the angle addition theorem.
Therefore, the true statements are:
3. m∠JKL = 45°
4. m∠MKQ + m∠PKQ = m∠PKM
5. PK is an angle bisector
(see image attached below)
Learn more about angle bisector on:
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Answer:
9 feet
Step-by-step explanation:
The sine relation applies.
Sin = Opposite/Hypotenuse
sin(30°) = height/(18 ft)
height = (18 ft)sin(30°) = (18 ft)(1/2)
height = 9 ft
The ladder extends 9 feet up the side of the building.
Volume of Cylinder V = πr²h
diameter = 6 feet, radius = 6/2 = 3 feet
dV/dt = (dV/dh) * (dh/dt) by change rule.
V = <span>πr²h
dV/dh = </span>πr² = π*3² = 9π ft²<span>
dV/dt = 2 ft</span>³/min
<span>dV/dt = (dV/dh) * (dh/dt)
</span>
2 ft³/min = 9π ft² * (dh/dt)
9π ft² * (dh/dt) = 2 ft<span>³/min
</span>
(dh/dt) = (2 ft³/min)/(9π ft<span>²)
(dh/dt) = (2/</span>9π) ft/min
So the water level is rising at (2/9<span>π) ft/min.</span>
