Answer:
The height is 2 units
Step-by-step explanation:
Find the area of the base of the square pyramid
we know that
The volume of the square pyramid is equal to
where
B is the area of the base and H is the height of the pyramid
we have
substitute in the formula and solve for B
step 2
Find the height of the square prism
we know that
The volume of the square prism is equal to
where
B is the area of the base and h is the height of the prism
we have
substitute in the formula and solve for h
Answer:
Step-by-step explanation:
1. p║ q
50+130 = 180
If the same side interior angles are supplementary angles then the lines are parallel.
2. p║ q
70 = 70
If the corresponding angles are congruent the lines are parallels.
4. p║ q
x = x
If alternating exterior angles are congruent then the lines are parallel.
5. we do not know if p is parallel with q
We have given that 2 vertical angles are congruent yet that is not enough to tell us about the relation between the 2 lines.
7. For the lines p and q to be parallel we need the corresponding angles 3x and 45 to be congruent so therefore equal in measure.
3x= 45 , divide both sides by 3
x= 15
For x = 15 the p║ q
8. For the lines p and q to be parallel we need the corresponding angles 120 and (2x+10) to be congruent so therefore equal in measure.
2x+10 = 120, subtract 10 from both sides
2x = 110, divide both sides by 2
x = 55
For x = 55 the p║ q
To calculate who ran more, you add up the total miles
Pat = 2.75+3+2.5 = 8.25
Toby = 2+2.25+3.5 = 7.75
Now subtract to see who ran more
Pat ran 0.5 miles more than Toby.
Hope this helps
Answer:
x = 10
Step-by-step explanation:
Two less than three times a number is 28
Let's break it up.
2 less than: -2
3 times a number: 3x (x is representing a number")
is 28: = 28
So, let's put that together.
Two less than three times a number is 28
3x - 2 = 28
Now, let's solve this.
First, let's isolate the x.
To do this, we must add 2 to each side.
3x - 2 = 28
+2 +2
3x - 2 + 2 = 3x
28 + 2 = 30
We have 3x = 30
Now, we must simplify.
To do this, we must divide each side by 3.
This, in term, will tell us what x equals.
3x = 30
--- ----
3 3
3x/3 = x
30/3 = 10
x = 10
Answer: 15
Step-by-step explanation:
20/8=2.5
6*2.5=15
