Answer:
4
Step-by-step explanation:
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Answer: 9 feet.
Step-by-step explanation:
Let the radius of the sphere = x feet
Therefore, the volume of the sphere = 
But, According to the question,
The volume of the sphere = 
⇒ 
⇒ 
⇒ 
⇒ 
⇒ 
Thus, the radius of the sphere = 9 feet
Answer: 16 hours
Step-by-step explanation: If 180 miles was completed in 3 hours, it means 60 miles was completed in 1 hour (180 ÷ 3 = 60.) Now we just do 960 ÷ 60 and we get 16 hours of time at a constant speed, assuming no further alterations were made to accelerations.
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Answer:
I think this is right? The instructions seem a bit vague to me...
Condition A: Many
Condition B: One
Condition C: One
Condition D: Many
Condition E: Many
Condition F: One
Step-by-step explanation:
So Condition A: A rectangle with 4 right angles is going to be in many quadrilaterals because squares are also a rectangle with 4 right angles. So condition A has 2 or maybe more that I forgot about.
Condition B: A square with one side measuring 5 inches is one quadrilateral. Squares are one specific type of quadrilateral so they're probably going to go into one quadrilateral
Condition C: A rhombus can sometimes also be a square, but since in this case, it's angle is only 43°, it should be one quadrilateral.
Condition D: There are a lot of parallelograms. Just because one angle is 32°, it doesn't mean there is just one. There are rhombuses and trapezoids that have 32° angles that would be parallelograms. This one is many.
Condition E: This one was hard for me to visualize, but I'm pretty sure this one is also many. There are at least 2. One side could be 6 inches and another could be 8 inches and then, it could be vice versa, so there are probably more than one. This one is many.
Condition F: Is this even possible? I think it's one.
Answer:
x is 9
Step-by-step explanation:
since they are vertical angles, they are congruent. We make an equation putting each one behind the equal sign (7x+3=10x-24) and we solve.