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yarga [219]
3 years ago
5

Solve the equation for x. show each step of the solution. name the justification for each step of the solution. 9/2(8-x)+36=102-

5/2(3x+24)
Mathematics
1 answer:
sergij07 [2.7K]3 years ago
6 0

The answer is  x= -10. To get this answer you have to simplify both sides of the equation, distribute, and combine the like terms. The second step is to add 15/2x to both sides. Step 3 is to subtract 72 from both sides, then divide both sides by 3


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grin007 [14]
37 would be the answer.....
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3 years ago
SOMEONE HELP WHAT IS THE ANSWER TO THESE QUESTIONS PLEASE HELP
romanna [79]
10.
Answer: 42° and 138°
Steps: First find value of x by adding both equations and setting them equal to 180°:
3x + 12x - 30 = 180
15x - 30 = 180
15x = 210
x = 14

Next, put value of x into equations to find the angle:
3x
3(14)
42°

12x - 30
12(14) - 30
168 - 30
138°


11. Answer: 28°
Steps: Complementary angles add up to 90°, so subtract 62° from 90° to find its complementary angle.
90 - 62 = 28


12. Answer: Corresponding angles are congruent.
7 0
3 years ago
A rectangle is shown. 2 right triangles sit on the top of the rectangle. The sides of the rectangle are congruent with 2 sides o
Salsk061 [2.6K]

Answer:3x2

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Use completing the square to determine which of the following gives the solutions to 3x2 - 24x + 40 = 28.
jeka94

Answer:

x=4+2\sqrt{3}

x=4-2\sqrt{3}

Step-by-step explanation:

<u>Completing the square</u>

when  ax^2+bx+c=0

Given equation:

3x^2-24x+40=28

Subtract 40 from both sides:

\implies 3x^2-24x=-12

Divide both sides by 3:

\implies x^2-8x=-4

Add the square of half the coefficient of x to both sides:

(\frac{b}{2})^2=(\frac{-8}{2})^2=16

\implies x^2-8x+16=-4+16

Factor the left side and simplify the right side:

\implies (x-4)^2=12

Square root both sides:

\implies x-4=\pm\sqrt{12}

Add 4 to both sides and simplify the radical:

\implies x=4\pm\sqrt{4 \cdot 3}

\implies x=4\pm\sqrt{4}\sqrt{3}

\implies x=4\pm2\sqrt{3}

5 0
2 years ago
Complete the steps to simplify^5√4 x √2 . Rewrite using rational exponents.
ozzi

The answer is 2^(9/10). I did it assuming with the ^5 you mean the 5th root of 4

7 0
3 years ago
Read 2 more answers
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