It should be noted that Polygon 3 and polygon 4 are similar to polygon 1.
<h3>
What exactly is polygon?</h3>
In geometry, it should be noted that a polygon is a plane figure which is described by a finite number of straight line segments that are connected in order to form a closed polygonal chain.
In this case, the bounded plane region, the bounding circuit, may be called a polygon. Also, a similarity transformation is the conformal mapping whose transformation matrix are identical.
In this case, it should be noted that Polygon 3 and polygon 4 are similar to polygon 1.
Learn more about polygon on:
brainly.com/question/24966296
#SPJ1
Answer:
4
Step-by-step explanation:
2x2=4
1) name the variables:
- amount in account 1 "a"
- amount in account 2 "b"
2) trtanslate the statements into equations:
<span>- the
difference between account 1 and account 2 is $100.
=> a - b = 100
- if she uses 3/8 of
account 1 and 7/8 of account 2, Dawn will have a down payment of $2,000.
=> (3/8)a + (7/8)b = 2000
3) solve the system of equations
(1) a - b = 100
(2) (3/8)a + (7/8b) = 2000
Steps:
- multiply equation (1) by 7 and equaton (2) by 8
=>
(1) 7a - 7b = 700
(2) 3a + 7b = 16,000
- add the two equations
=>
7a + 3a - 7b + 7b = 700 + 16,000
- combine like terms:
10a = 16,700
- divide by 10:
a = 16,700 / 10 = 1670
- use equation (1) to find b:
a - b = 100 => b = a - 100 = 1670 - 100 = 1570
Answer: Dawn has $ 1670 in account 1 and
$ 1570 in account 2.
</span>
The correct answer is C: 1/(x + 4)(x - 5)
Why? Well, let's first simplify x^2 - 3x - 10 and x^2 + x - 12; the two denominators. Each of these should become an (x +/- number), and to figure out the number, as well as whether it is positive or negative, we can do a simple trick
Look at the factors of the right number (In this case, -10 and -12)
-10 -12
1 * -10 1 * -12
-1 * 10 -1 * 12
-2 * 5 -2 * 6
2 * -5 2 * -6
-3 * 4
4 * -3
Now for part 2
Which of these pairs add up to the middle number? One of the pairs of -10 should make -3, and likewise, one of the pairs of -12 should make 1 (when x has no number in front of it you may safely assume it is 1).
2 - 5 = -3 and 4 - 3 = 1, so we now know that the 2 fraction equations simplified is
x + 2 / (x + 2)(x - 5) * x - 3/(x -3)(x + 4)
Notice anything repeating? As long as they are apart of the same fraction, we can cross out anything that has the same x - number. Crossing out both x + 2 and x - 3, we now simply have x - 5 * x + 4. Because we crossed out both numerators, the top numbers both become 1, thus giving our answer, C.
5/12 is less than 1/2 because 6/12 = 1/2
Therefore, there are not enough 1/12 pieces to equal or exceed 1/2.
