Alternate Interior Angles. You’re welcome
Answer:
46
Step-by-step explanation:
Let represent a number with in the ten's position and is the one's position.
This means actually has value of .
We are given the sum of those digits of is 10; this means .
It says if 18 is added to the number , then the result is .
So has value and
has value .
We are given then:
Subtract on both sides:
Simplify:
Subtract on both sides:
Divide both sides by 9:
Rearrange by commutative property:
So the system of equations we want to solve is:
-------------------------Add equations together (this will eliminate the variable and allow you to go ahead and solve for :
Divide both sides by 2:
Simplify:
If and , then . since 4+6=10.
So the original number is (46).
18 more than 46 is 18+46=(64) which is what we wanted.
We also have the sum of 4 and 6 is 10 as well.
Answer:
Step-by-step explanation:
Please find the attachment.
We have been given that a container is shaped like a triangle prism. Each base of container is an equilateral triangle with each side 6 cm. The height of container is 15 cm.
To find the lateral surface area of our given container we will use lateral surface area formula of triangular prism.
, where, a, b and c represent base sides of prism and h represents height of the prism.
Upon substituting our given values in above formula we will get,
Therefore, lateral surface area of our given container is 270 square cm.
Answer:
Step-by-step explanation:
<u>Multiply and simplify:</u>
- (x - 1)(x + 2)(x + 3) =
- (x² + 2x - x -2)(x + 3) =
- (x² + x - 2)(x + 3) =
- x³ + 3x² + x² + 3x - 2x - 6 =
- x³ + 4x² + x - 6
<u>From the final polynomial we can see that:</u>
- a = 1, b = 4, c = 1 and d = - 6
So all the coefficients are positive but the constant d is negative
Answer:
A. 56.78 B. 389.22
Step-by-step explanation:
A.Social security: 498x.062=30.88
medicare: 498x.0145=7.22
state tax: 498x.025=12.45
local tax: 498x.0125=6.23
total of above = 56.78
B. Total taxes above (56.78) + federal withheld (52) = total taxes 108.78
total pay 498 - total taxes 108.78 = 389.22