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ch4aika [34]
3 years ago
14

The lengths of three sides of a quadrilateral are shown below:

Mathematics
1 answer:
julsineya [31]3 years ago
7 0
Answers: 
Part A: 12y² + 10y – 21
Part B: 4y³ + 6y² + 6y – 5 
Part C: See below.

Explanations: 
Part A: 
For this part, you add Sides 1, 2 and 3 together by combining like terms:
Side 1 = 3y² + 2y – 6
Side 2 = 4y² + 3y – 7
Side 3 = 5y² + 5y – 8
3y² + 2y – 6 + 4y² + 3y – 7 + 5y² + 5y – 8
Combine like terms: 
3y² + 4y² + 5y² + 2y + 3y + 5y – 6 – 7 – 8 
12y² + 10y – 21

Part B: 
You have the total perimeter and the sum of three of the sides, so you just need that fourth side value, which we can call d.
P = 4y³ + 18y² + 16y – 26
Sides 1, 2 & 3 = 12y² + 10y – 21 
Create an algebraic expression: 
12y² + 10y – 21 + d = 4y³ + 18y² + 16y – 26
Solve for d: 
12y² + 10y – 21 + d = 4y³ + 18y² + 16y – 26
– 12y²                                – 12y²
10y – 21 + d = 4y³ + 6y² + 16y – 26 
– 10y                               – 10y
– 21 + d = 4y³ + 6y² + 6y – 26 
+ 21                                + 21 
d = 4y³ + 6y² + 6y – 5 

Part C: 
If closed means that the degree that these polynomials are at stay that way, then yes, this is true in these cases because you will notice that each side had a y², y and no coefficient value except for the fourth one. This didn't change, because you only add and subtract like terms.
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Answer:

Option (2).

Step-by-step explanation:

This question is incomplete; here is the complete question and find the figure attached.

In the diagram of a circle O, what is the measure of ∠ABC?

27°

54°

108°

120°

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m(major arc \widehat {AC}) = 234°

By the intersecting tangents theorem,

If the two tangents of a circle intersect each other outside the circle, measure of angle formed between them is half the difference of the measures of the intercepted arcs.

m∠ABC = \frac{1}{2}[m(\text {major arc{AC})}-m(\text{minor arc} {AC})]

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Therefore, Option (2) will be the answer.

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Answer:

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Step-by-step explanation:

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<h3>Further Explanation</h3>

Estimation

Estimation is when you use an approximate calculation to make a prediction. It is important here to note that an estimation is different than guess. In both instances, one should use whatever knowledge is at their disposal; however, an estimation usually uses rounding and actual calculations.

Rounding

When making an estimation, rounding is an effective tool to use. Often numbers are rounded to the nearest whole number or place value. This can make it easier to do a quick calculation. In the word problem, the nearest whole number to 79.35 is 80. This makes it easier to multiply the dollar amount because there are fewer numbers to multiply.

<h3>Answer Details</h3>

Subject: Math

Level: middle school

Topic: Estimations

<h3>Keywords</h3>

estimation, rounding, multiplication

<h3>Learn More</h3>

Estimating with percents: brainly.com/question/3510011

Estimate: brainly.com/question/107747

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