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sesenic [268]
3 years ago
12

Solve the equation 3|4x+3|+8=17

Mathematics
1 answer:
pentagon [3]3 years ago
3 0

Answer:

x=-3/2 or x=0

Step-by-step explanation:

Subtract 8 from both sides

3|4x+3|+8-8=17-8

Simplify

3|4x+3| = 9

Divide both sides by 3

3|4x+3|/3 = 9/3

Simplify

|4x+3|=3

Apply absolute rule

4x+3=-3 or 4x+3=3

Solve

x=-3/2 or x=0

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Helppp meee helpppp meeeee
stealth61 [152]

Answer:

1. Alt. Exterior angles (c)

2. Supplementary angles (e)

3.Alt. Interior angles (a)

4. Vertical angles (d)

5. Corresponding angles (b)

6. None (f)

7. Supplementary angles (e)

8. Alt. Interior angles (a)

9. M∠3 = 97°      M∠5 = 97°  

   M∠10 = 97°     M∠7 = 83°

   M∠9 = 83°      M∠16 = 97°

10. x = 5

11. x = 8

12. x = 20

Step-by-step explanation:

a.) 1-8

Alt. Exterior angles: Angles that are on the opposite sides of the transversal ( ex. 9∠16 and 13∠12)

Alt. Interior angles: Angles that are in the area between the parallel lines ( ex. 14 ∠11 and 10∠15)

Vertical angles: A pair of opposite angles formed by intersecting lines. ( ex. 12∠15 and 9∠14)

Corresponding angles: Angles that are in the same position relative to lines intersected by a transversal (ex. 9∠11 and 14∠16)

Supplementary angles: 2 angles that sum up to 180° ( ex. 9∠10, 11∠15, and 13∠14)

b.) 9

M∠2 is 97° and M∠3 are vertical angles so they both will have the same degrees (97°)

M∠2 and M∠10 are corresponding angles so they also will have the same degrees (97°)

Since you know M∠10 is 97° and a straight line is 180.

you would subtract 97 to 180 (180-97 = 83) so M∠9 is 83°

c.) 10-12

This is kind of like simple algebra

You would take M∠8 (4x+57) and M∠4 (77) and just put it into a problem ->

4x+57=77

    -57 = 77

4x=20

20/4 = 5

7 0
2 years ago
2. Kim is x years old. Jordan is 7 years older than Kim. Four times Jordan’s age is equal to 200. (a) Write an equation that cou
wlad13 [49]
(a) Kim x years old
Jordan x+7 years old
4(x+7)=200
An Equation That Could Be Used To Solve For Kim's Age , x Is 4x+28=200.
(b) 4x=200-28
4x=172
x=43
Kim Is 43 Years Old.
(c) x+7
=43+7
=50
Jordan Is 50 Years Old.
7 0
3 years ago
Find 3 consecutive numbers where the product of the smaller two numbers is 19 less than the square of the largest number.
Reika [66]
N; n+1; n+2 - 3 consecutive numbers

n(n + 1) = (n + 2)² - 19    |use a(b + c) = ab + ac and (a + b)² = a² + 2ab + b²

n² + n = n² + 4n + 4 - 19    |subtract n² from both sides

n = 4n - 15    |subtract 4n from both sides

-3n = -15    |divide both sides by (-3)

n = 5

n + 1 = 5 + 1 = 6

n + 2 = 5 + 2 = 7

Answer: 5; 6; 7.
6 0
3 years ago
Solve the equation using square roots. x2 + 5 = 41
Stells [14]
X*2 +5 =41
Subtract 5 from both sides
X*2=36

Square root of 36 is 6

X=6

Solve

6*2+5 =41
This’s correct!
3 0
3 years ago
Read 2 more answers
. One car traveled 210 miles and drove 20 mph hour faster than a second car drove 150 miles. If the cars were traveling for the
inn [45]

Answer:

The first car was traveling 70 mph, while the second was driving 50 mph.

Step-by-step explanation:

Set the cars as a proportion:

\frac{210}{x + 2}  =  \frac{150}{x}

X represents the speed of the second car. By cross multiplying, you get the following equation:

210x = 150(x + 20)

You solve by distributing 150 to get 210x = 150x + 3000.

Solving for x gets you 50.

That means the first car was going at 50 mph. Adding 20, you get 70 as the speed for the second car.

4 0
3 years ago
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