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olga nikolaevna [1]
3 years ago
14

Can i get a step by step for this?

Mathematics
1 answer:
jonny [76]3 years ago
8 0

Answer:

  • x = 85°

Step-by-step explanation:

<u>Sum of interior angles of any triangle is 180°:</u>

  • 52° + 43° + x = 180°
  • 95° + x = 180°
  • x = 180° - 95°
  • x = 85°
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which ordered pairs in the form (x, y) are solutions to the equation 3x−4y=21 ? Select each correct answer. (−1, −6) (−3, 3) (11
Valentin [98]

Answer:

see explanation

Step-by-step explanation:

To determine which ordered pairs are solutions to the equation

Substitute the x and y values into the left side of the equation and if equal to the right side then they are a solution.

(- 1, - 6)

3(- 1) - 4(- 6) = - 3 + 24 = 21 = right side ← thus a solution

(- 3, 3)

3(- 3) - 4(3) = - 9 - 12 = - 21 ≠ 21 ← not a solution

(11, 3)

3(11) - 4(3) = 33 - 12 = 21 = right side ← thus a solution

(7, 0)

3(7) - 4(0) = 21 - 0 = 21 = right side ← thus a solution

The ordered pairs (- 1, - 6), (11, 3), (7, 0) are solutions to the equation

3 0
3 years ago
Read 2 more answers
Write a polynomial that represents the area of the shaded region
marusya05 [52]
<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

6 0
3 years ago
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Step2247 [10]

Answer:

add the = problome

Step-by-step explanation:

5 0
3 years ago
Y=-3x+3<br> Y=5x+19<br> Solve this system by substitution
Mars2501 [29]

Answer:

x=-2

Step-by-step explanation:

You can substitute the first equation into the second:

-3x+3=5x+19

Add 3x on both sides:

3=8x+19

Subtract 19 on both sides:

-16=8x

Divide 8 on both sides:

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5 0
3 years ago
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If there are 300 seventh graders, and 80% passed the benchmark, how many passed the benchmark
notsponge [240]

Answer:

240 seventh graders passed

Step-by-step explanation:

300 x 0.8 = 240

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