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mario62 [17]
3 years ago
9

I NEED HELP ON THIS CONSTRUCTED RESPONSE! :(

Mathematics
1 answer:
Simora [160]3 years ago
7 0

Answer:

<em>x = -10</em>

Step-by-step explanation:

(9/2)(8 - x) + 36 = 102 - (5/2)(3x + 24)

Multiply both sides by 2.

9(8 - x) + 2 * 36 = 2 * 102 - 5(3x + 24)

Distribute on both sides.

72 - 9x + 72 = 204 - 15x - 120

Combine like terms on each side.

144 - 9x = 84 - 15x

Subtract 144 from both sides. Add 15x to both sides.

6x = -60

Divide both sides by 6.

x = -10

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Find the 13th term of the arithmetic sequence -3x+7, -5x+3, -7x-1, ...
oksano4ka [1.4K]

Answer:

a₁₃ = - 27x - 41

Step-by-step explanation:

The nth term of an arithmetic sequence is

a_{n} = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = - 3x + 7

d = a₂ - a₁ = - 5x + 3 - (- 3x + 7)

                 = - 5x + 3 + 3x - 7

                 = - 2x - 4

Then

a₁₃ = - 3x + 7 + 12(- 2x - 4)

     = - 3x + 7 - 24x - 48

     = - 27x - 41

3 0
3 years ago
Simplify the following expression.<br> 5 [13 + 10 = (3 + 2)] + 9 x 2
Sergio [31]

Answer:

i BELIEVE ITS

Step-by-step explanation:

5 [13 + 10 = (3 + 2)] + 9 x 2

65+50=25+18

115=43

7 0
3 years ago
What is the acceleration of an object in air that has a velocity of Om/s?
pochemuha

Answer:

9.8m/s^2

Step-by-step explanation:

5 0
2 years ago
Segments
Ipatiy [6.2K]

There are several ways two triangles can be congruent.

  • \mathbf{AC = BD}<em> congruent by SAS</em>
  • \mathbf{\angle ABC \cong \angle BAD}<em> congruent by corresponding theorem</em>

In \mathbf{\triangle AOL} and \mathbf{\triangle BOK} (see attachment), we have the following observations

1.\ \mathbf{AO = DO} --- Because O is the midpoint of line segment AD

2.\ \mathbf{BO = CO} --- Because O is the midpoint of line segment BC

3.\ \mathbf{\angle AOB =\angle COD} ---- Because vertical angles are congruent

4.\ \mathbf{\angle AOC =\angle BOD} ---- Because vertical angles are congruent

Using the SAS (<em>side-angle-side</em>) postulate, we have:

\mathbf{AC = BD}

Using corresponding theorem,

\mathbf{\angle ABC \cong \angle BAD} ---- i.e. both triangles are congruent

The above congruence equation is true because:

  1. <em>2 sides of both triangles are congruent</em>
  2. <em>1 angle each of both triangles is equal</em>
  3. <em>Corresponding angles are equal</em>

See attachment

Read more about congruence triangles at:

brainly.com/question/20517835

3 0
2 years ago
Use the substitution method to solve the system of equations.
grandymaker [24]
Insert 3x - 7 for y in 15x - 5y = 14
15x - 5(3x - 7) = 14
15x - 15x + 35 = 14
0 = -21
There is no solution.
5 0
3 years ago
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