The shorter side of the triangle is 18 cm and each of the longer sides are 54 cm
<u>Solution:</u>
Given that triangle has perimeter of 126 cm
Let the length of the shorter side of the triangle be "a"
The 2 longer sides are 3 times as long as the shortest side
So length of 2 longer sides = 3(length of the shorter side)
length of 2 longer sides = 3a
<em><u>The perimeter of triangle is given as:</u></em>
perimeter of triangle = length of the shorter side + length of 2 longer sides
perimeter of triangle = a + 3a + 3a
126 = a + 3a + 3a
7a = 126
a = 18
So length of shorter side = 18 cm
length of 2 longer sides are each = 3a = 3(18) = 54 cm
Thus, the shorter side of the triangle is 18 cm and each of the longer sides is 54 cm
Answer:
Part A: 299 + 45A + 30B + 50c
Part B: 569 (or 570 if you round it up)
Step-by-step explanation:
Part A:
Because there is no variable for the number of PlayStation 4s, let's assume that there is only one. That will be 299.
If A is the number of wireless controllers and each wireless controller is worth 45 dollars each, the price for the wireless controller(s) is 45A.
If B is the number of wireless controller charging stations and each wireless controller charging station cost 30 dollars, then the price of the wireless controller charging station(s) is 30B
If C is the number of games and each game cost 50 dollars, then the price of the game(s) is 50C
Put that all together, and we get 299 + 45A + 30B + 50c.
Part B:
Let's plug the numbers into the formula.
A = 2
B = 1
C = 3

The architect earns $47000 yearly and the lawyer earns $68,000 yearly.
<h3>How to solve algebra problems?</h3>
Let x = salary of architect, in thousands
Let 2x - 26 be the salary of lawyer, in thousands
Thus, if their salary combined is $214 thousand, then we have the algebra expression;
2x + 2x - 26 = 214
4x - 26 = 214
4x = 214 - 26
4x = 188
x = 47, in thousands.
The architect earns $47000 yearly
The lawyer earns 2(47000) - 26000 = $68,000 yearly
Read more about Algebra Problems at; brainly.com/question/4344214
#SPJ1
The area (A) of a rectangle is calculated by multiplying the length (L) and the width (W). In order for us to determine the possible dimensions of the section (or sides) of the rectangle, we have to factor the given area.
x² - 4x - 45
(x - 9)(x + 5)
<em>Thus, the possible dimensions of the rectangle are x-9 and x+5</em>.