Answer:
Step-by-step explanation:
I am assuming that you are asking what is [x] - 5 if f(86).
When you have this kind of question, what you do is to substitute the variable inside the parenthesis, so like what is says, f(x). If the question replaces the variable x with 86, that means you input the number into the equation.
So [x] - 5, if f(86).
Substitute:
86 - 5
Answer:
congruent
Step-by-step explanation:
In geometry, two figures or objects are congruent if they have the same shape and size, or if one has the same shape and size as the mirror image of the other.
so yes, they are congruent because they have the same angle
The answer is the option b. 1.
Two sides and one angle determine one unique triangle.
If the angle is the between the two sides, you just can use the rule known as SAS, Side Angle Side.
When that is the case you use the cosine rule.
When the known angle is not between the two sides but one of the others, you use sine theorem.
Then in any case when you know two sides and one angle of a triangle the other side and angles are determined, which implies that there is only one possible triangle.
Answer:
1. 2w + 3p = 7.05
2. p = 1.35
w = 1.50
p = 1.35
- The solution means that a bottle of water costs $1.50 and a bag of pretzels costs $1.35
Explanation
1) Translate the verbal language to algegraic language to create the equations which you can solve.
w = cost of one bottle of water
p = cost of one bag of pretzels
the cost of 2 bottles of water: 2w
the cost of 3 bags of pretzels: 3p
the cost of 2 bottles of water and 3 bags of pretzels is $7.05:
2w + 3p = 7.05 Equation 1
the cost of a bag of pretzels is $ 1.35: p = 1.35 Equation 2
1. 2w + 3p = 7.05
2. p = 1.35
2) Solve the system using substitution method: substitute p with 1.35 in the first equation:
3) Steps to solve the equation:
- Simplify: 2w + 4.05 = 7.05
- Subtract 4.05 from both sides: 2w = 3
- Divide both sides by 2: w = 3/2 = 1.50
Answer: you have found the costs of both a bottle of water and a bag of pretzels, which, repectively, are $ 1.50 and $ 1.35