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IgorC [24]
2 years ago
9

7 x-3(4 x-8)<6 x+12-9 x

Mathematics
1 answer:
kari74 [83]2 years ago
6 0

Answer:

x > 6

Step-by-step explanation:

1.) Distribute - 3 through the parenthesis

7x-3(4x-8)<6x+12-9x

7x-12x+24<6x+12-9x

2.) Then collect like terms

7x-12x+24<6x+12-9x

7x-12x+24<-3x+12

7x-12x+24<-3x+12

-5x+24<-3x+12

3.) Move the <u>variable</u> to the left and change the sign

-5x+24<-3x+12

-5x+3x+24<12

4.) Move the <u>constant</u> to the right and change it's sign

-5x+3x+24<12

-5x+3x<12-24

5.) Collect like terms

-5x+3x<12-24

-2x<12-24

6.) Calculate the difference

-2x<-12

7.) Divide both sides by -2 and flip the inequality sign

-2x<-12

x>6

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motikmotik

Given:

(a+10) and (a+20) are supplementary

To find:

Each angle

Steps:

if 2 angles are supplementary that means they add up to 180°

(a + 10) + (a + 20) = 180

   a + 10 + a + 20 = 180

              2a + 30 = 180

                      2a = 180 - 30

                      2a = 150

                        a = 150/2

                        a = 75°

Now let's find value of each angle,

a + 10 = 75 + 10

          = 85°

a + 20 = 75 + 20

           = 95°

Therefore, the value of each angle is 85° and 95° respectively

Happy to help :)

If you need any help feel free to ask

4 0
2 years ago
A, B &amp; C form the vertices of a triangle.
kirza4 [7]
<h3>Answer:  20.3</h3>

Work Shown:

tan(angle) = opposite/adjacent

tan(B) = AC/AB

tan(67) = x/8.6

8.6*tan(67) = x

x = 8.6*tan(67)

x = 20.2603303460843  ... make sure your calculator is in degree mode

x = 20.3  .... rounding to 3 significant figures

see diagram below

6 0
3 years ago
(b) Three objects are brought close to each other, two at a time. When objects A and B are brought together, they repel. When ob
zheka24 [161]

Answer:

Step-by-step explanation:

When A and B are brought together then they repel i.e. A and B have same charge, either negative or positive

When B and C are brought together then they also repel. This implies that nature of charge on  B and C is same          

4 0
3 years ago
A triangle has side lengths of (x-6), (x+2) and (x-9). Find the perimeter of the triangle
Setler [38]

Answer:

3x - 13

Step-by-step explanation:

The perimeter is just the distance around the triangle. We have all three sides, so we can just add them together to get the total distance.

(x-6) + (x+2) + (x-9)

Group:

x + x + x - 6 + 2 - 9

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8 0
3 years ago
There are 1295 students attending a small university there are 714 woman in rolled what percentage of students are woman
MatroZZZ [7]

Answer:

Approximately 55% of enrolled students are women.

Step-by-step explanation:

To find the percentage of a given set of data, you need to divide the number of actual students by the total number of students.  In this case, they are wanting the percentage of just women students at the university:

\frac{women students}{total students} =\frac{714}{1295} x 100 = 55%


4 0
3 years ago
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