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AnnZ [28]
3 years ago
6

Write a polynomial that represents the area of the shaded region

Mathematics
1 answer:
marusya05 [52]3 years ago
6 0
<h3>Answer: x^2-3x+36</h3>

=========================================

Explanation:

The larger rectangle has area of (x+1)(x+1) = x^2+2x+1 through the use of the FOIL rule or distribution

If you use distribution, then it might help to let y = x+1 so we'd have y(x+1) lead to xy+1y which becomes x(x+1)+1(x+1). From there it might be easier to see how to get x^2+2x+1 after everything distributes again and simplifies.

The smaller rectangle has area 5x-35 which is found by distributing 5(x-7)

To get the shaded area, we subtract the two rectangle areas found above

shaded area = (larger area) - (smaller area)

shaded area = (x^2+2x+1) - (5x - 35)

shaded area = x^2+2x+1 - 5x + 35

shaded area = x^2-3x+36

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Please help me to solve all the questions would appreciate it if its with full working
Degger [83]

∠ KGH is equal to 77°. This is arrived at by using the knowledge of the total angles in Parallel Lines.

<h3>What are the total angles on a straight line?</h3>

According to the laws of lines and angles, the total number of angles that can exist on a straight line is 180°.

If ∠CED = 25° and ∠BFL = 78°, then: ∠KGH = 180-(25+78), which is equals 77°. This is because the total angles on a straight-line total 180°

<h3>What is ∠LKJ?</h3>

Recall that in angles in parallel lines:

  • Corresponding Angles are always congruent,  
  • Alternate Angles are always congruent, and
  • Interior According always sum up to 180°

Hence,

We can derive ∠LKJ because it is congruent with ∠BGJ.

To get ∠BGJ, we must get ∠LFH because both of them are interior angles and sum up to 180°.

To get ∠LFH, we must subtract ∠BFL from 180° because they are both angles on a straight line.

Hence ∠LFH = 180 - 78 = 102°

Recall that ∠LFH and ∠BGJ are interior angels. Hence

∠BGJ = 180 - 102 = 78°.

Since ∠BGJ is a corresponding ∠ with ∠LKJ, therefore

∠LKJ = 78°

<h3>What is ∠ALM?</h3>

∠ALM is ∠BFL because they are both corresponding angles and are therefore congruent.

<h3>What are the solutions to section B?</h3>

  1. Because ∠ACB and ∠BAC are equal, therefore sides AB and BC are equal in length. We can tell that  ∠ACB and ∠BAC are equal because the total angles in the triangle are equal to 180°

     2. The name given to the triangle mentioned above is Obtuse      

          Triangle. This is because one of the angles exceeds 90°.

Learn more about angles in parallel lines at:
brainly.com/question/24607467
#SPJ1

4 0
2 years ago
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4 0
3 years ago
65%. persent of 120 students ate pizza for lunch how many student's ate pizza​
liq [111]
0.65 is equivalent to 65%.

0.65 of 120 is the same as
0.65 x 120.

0.65 x 120 = 78.

So, 78 students ate pizza.
3 0
2 years ago
Read 2 more answers
Graph the function g(x) = 1/3-4/3x
mafiozo [28]
g(x) = \frac{1}{3}- \frac{4}{3}x \\\\g(x) = - \frac{4}{3}x +\frac{1}{3}\\\\x=-5\ \ \to\ \ g(x)= - \frac{4}{3}*(-5) +\frac{1}{3}= \frac{20}{3} +\frac{1}{3}=\frac{21}{3}=7\\(-5,7)



x=7\ \ \to\ \ g(x)= - \frac{4}{3}*7 +\frac{1}{3}= - \frac{ 28}{3} +\frac{1}{3}=-\frac{27}{3}=-9\\(7,-9)


3 0
3 years ago
(100x300)+500<br> what is it?
SOVA2 [1]

Answer:

30,500

Step-by-step explanation:

100x300=30,000

+500 = 30,500

4 0
3 years ago
Read 2 more answers
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