The inequalities that represents the third side of the triangle is x ≥ 4 or x ≤ 20
How to find the third side of a triangle?
The triangle inequality theorem states that that the sum of any two sides of a triangle is greater than or equal to the third side.
Therefore, the two sides of the triangle are 12 cm and 8 cm.
A triangle with sides a, b and x follows the principle below;
a + b ≥ x.
Therefore,
let
x = third sides
12 + 8 ≥ x
20 ≥ x
x + 8 ≥ 12
x ≥ 4
x + 12 ≥ 8
Therefore, the third third should be greater than or equals to 4 or less than or equals to 20
x ≥ 4 or x ≤ 20
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The garden view hotel is 235 feet tall
Step-by-step explanation:
The given is:
- The garden view hotel is seventeen less than twice the height of the plaza hotel
- Their combined height is 361 feet
We need to find the height of the garden view hotel
Assume that the height of garden view hotel is x feet and the height of the plaza hotel is y feet
∵ The height of the garden view hotel = x feet
∵ The height of the plaza hotel = y feet
∵ The height of the garden view hotel is 17 less than twice the
height of the plaza hotel
- That means x is less than 2 × y by 17, equate x by the difference
of 2 × y and 17
∴ x = 2y - 17 ⇒ (1)
∵ Their combined height = 361 feet
∴ x + y = 361
- Find y in terms of x by subtraction x from both sides
∴ y = 361 - x ⇒ (2)
Substitute y in equation (1) by equation (2)
∵ x = 2(361 - x) - 17
- Simplify the right hand side
∴ x = 722 - 2x - 17
- Add like terms
∴ x = 705 - 2x
- Add 2x to both sides
∴ 3x = 705
- Divide both sides by 3
∴ x = 235
The garden view hotel is 235 feet tall
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Answer:
1/6
Step-by-step explanation:
5/6=150/180
6/9=120/180
150/180 - 120/180 = 30/180
30/180=1/6
Answer:
x^5*x evaluates to
Step-by-step explanation:
Multiply the exponent of x by 5giving
The answer is
x^5 evaluates to
Multiply x and
Multiply the x and
Multiply x and
Combine the x and by adding the exponents, and keeping the x, to get
The answer is
x^5*x evaluates to
Options:
A. Publicity
B. Advertising
C. Public relations
D. Trade shows
Answer:B. Advertising
Step-by-step explanation: Advertising is the process of show casing of a product or service,it can be achieved through verbal communications,print media(news papers, magazines etc),Through electronic media(social media,internet etc) and through bill boards etc.
Advertising is a vital tool to make public the or inform others about a product or service,it has been widely explored by Organisations in order to create a good Market strength and competitiveness.