Answer:
Number of edges in the resulting solid = 12
Step-by-step explanation:
A wooden block measures 2 inches by 2 inches by 3 inches. A wedge is cut off from each corner of the block by slicing at points that are 1 inch from each corner.
We are supposed to find the number of edges that are in the resulting solid.
In some corners , if we take out inch from both, then there would be nothing remaining.
The two faces along the height would be removed and it will become sharpened.
So the number of edges = 4 + 4 + 4 = 12
Answer:
The purchase price is $180
The total price is: $189
Step-by-step explanation:
Sales tax rate = 5\%
Sales tax on bike = $9
We need to find the purchase price.
Let purchase price = x
We know that Sales tax = 5% of x
and Total price = Purchase Price + Sales tax
So, we can write:
Sales tax = 5% of x
Putting values and finding x
So, the value of x i.e Purchase price = $180
The purchase price is $180
Now finding the total price of bicycle
Total price = Purchase Price + Sales tax
Total price = 180 + 9
Total price = $189
So, The total price is: $189
Answer:
225 adult tickets
Step-by-step explanation:
S: no. of students
A: no. of adults
S = A + 54
S + A = 504
A + A + 54 = 504
2A = 450
A = 225
S = 225 + 54
S = 279
Answer:
<h2>AAA postulate.</h2>
Step-by-step explanation:
Givens
- Angles KOM and LNM are congruent, because both are right.
- Angle LNM is common to both triangles.
If two internal angles of two triangles are congruent, then the third angle is also congruent.
Therefore, the similarity is proven by AAA postulate, which states that if we have three corresponding angles congruent, then those triangles are similar.
Remember that similarity is about proportion between sides and congruence between angles.
Answer:
13
Step-by-step explanation:
Write an equation setting the lengths equal to each other.
5x + 3 = 2x + 9
Move the variable (x) to one side. I'm going to subtract 2x from both sides.
5x - 2x + 3 = 2x - 2x + 9
3x + 3 = 9
Subtract 3 from both sides
3x +3 - 3 = 9 - 3
3x = 6
Divide both sides by 3
3x/3 = 6/3
x = 2
Now use 2x + 9 to find the length of EG by substituting 2 in for x.
2x + 9
2(2) + 9
4 + 9
13
You could also use 5x + 3 to find the length of EG by substituting 2 in for x.
