The answer is <span>A. 16 edges
For most of the solid shapes, we can use Euler's polyhedron formula:
f + v - e = 2
f - the number of faces
v - the number of vertices
e - the number of edges
We know:
f = 5 + 4 = 9
v = 9
e = ?
So:
</span>f + v - e = 2
9 + 9 - e = 2
18 - e = 2
18 = e + 2
e = 18 - 2
e = 16
Answer:
58 in^2.
Step-by-step explanation:
This is the sum of the area of 4 small rectangles + the area of the 2 larger rectangles
= 2*4*1 + 2*5*1 + 2*4*5
= 8 + 10 + 40
= 58 in^2
Answer:
x = 34
∠S = 38
∠T = 111
Step-by-step explanation:
Angles in a triangle add up to equal 180
If ΔRST is a triangle and ∠R, ∠S and ∠T are angles in that triangle
Then ∠R + ∠S + ∠T = 180
That being said we want to create an equation to solve for x
If angles in a triangle have a SUM of 180
Then, 31 + x + 4 + 3x + 9 = 180
We now solve for x
Step 1 combine like terms
31 + 4 + 9 = 44
x + 3x = 4x
we now have 44 + 4x = 180
step 2 subtract 44 from each side
44 - 44 cancels out
180 - 44 = 136
We now have 136 = 4x
Step 3 divide each side by 4
4x / 4 = x
136 / 4 = 34
We're left with x = 34
Now we want to find the measures of ∠S and ∠T
To do so, we substitute 34 for x in their given expression
∠S = x + 4
* substitute 34 for x *
∠S = 34 + 4
34 + 4 = 38
Thus ∠S = 38°
∠T = 3x + 9
* substitute 34 for x *
∠T = 3 ( 34 ) + 9
34 * 9 - 102
102 + 9 = 111
Thus, ∠T = 111°
You have a lot of questions here, I can help you with a few of them.
When you simplify the polynomials, you put together all of the terms that have the same degree. That means the variables have the same exponents. The number of terms are the items separated by plus and minus signs.
Here are the answers for the first three:
1)

2)

3)
So we need to find 8% of 760.50 then add it to the original cost of the computer package.
To find 8%, multiply like what is below.
$760.50 × .08 = 60.84
$60.84 is 8% of $760.50
Add both totals together to get the cost of the computer, with assembly
Answer: $821.34