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JulsSmile [24]
3 years ago
13

Find the value of x.

Mathematics
1 answer:
Nostrana [21]3 years ago
4 0

Answer:

21.6 degrees

Step-by-step explanation:

the sum of angles in a triangle is 180 degrees

71 + x + (4x-11) = 180

open the brackets

71 + x +4x - 1 = 180

71 + 1 + x + 4x =180

72 + 5x =180

5x = 180 -72

5x = 108

x = 108/5 = 21.6

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Hello pls help meeee<br> )
In-s [12.5K]

Answer:

(4, 1)

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right  

Equality Properties

  • Multiplication Property of Equality
  • Division Property of Equality
  • Addition Property of Equality
  • Subtraction Property of Equality

<u>Algebra I</u>

  • Terms/Coefficients
  • Coordinates (x, y)
  • Solving systems of equations using substitution/elimination

Step-by-step explanation:

<u>Step 1: Define Systems</u>

y = 2x - 7

y = -x + 5

<u>Step 2: Solve for </u><em><u>x</u></em>

<em>Substitution</em>

  1. Substitute in <em>y</em>:                                                                                                2x - 7 = -x + 5
  2. [Addition Property of Equality] Isolate <em>x</em> terms:                                            3x - 7 = 5
  3. [Addition Property of Equality] Isolate <em>x</em> term:                                              3x = 12
  4. [Division Property of Equality] Isolate <em>x</em>:                                                       x = 4

<u>Step 3: Solve for </u><em><u>y</u></em>

  1. Define original equation:                                                                               y = -x + 5
  2. Substitute in <em>x</em>:                                                                                                y = -4 + 5
  3. Add:                                                                                                                 y = 1
7 0
2 years ago
In a shipment of airplane parts, 5% are known to be defective. If 21 parts are found to be defective, how many parts are in the
horrorfan [7]

We can use ratios and the cross-multiply-divide to find this.



The ratio 21:5 is avaliable via the question. We then need to compare that to the ratio x:100, the 100 being the percent and the x being the number of airplane parts.



21/5 = x/100



We can then solve for x to find the number of airplane parts. First we multiply by 100 on both sides to get 2100/5 = x. Therefore x = 420 and there are 420 airplane parts.

7 0
2 years ago
Betty's height to jinlan's height
ella [17]
1 to 2 m tall please forgive meh
8 0
3 years ago
Solve for b in the equation: 2b + 3c = 14
bagirrra123 [75]
Remember you can do anything to an equation as long as you do it to both sides

2b+3c=14
minus 3c both sides
2b=14-3c
divide both sides by 2
b= \frac{14-3c}{2}
8 0
2 years ago
A large university accepts 60​% of the students who apply. Of the students the university​ accepts, 40​% actually enroll. If 30,
kykrilka [37]

Answer:

7,200

Step-by-step explanation:

Let's start by calculating how many students the university accepts. The problem says they accept 60% of the students. 60% as a decimal is 0.6. To calculate 60% of something, you multiply .60 by whatever quantity. In this case, it would be the students.

Number of accepted students = .6 * 30000 = 18,000

The university accepts 18,000 students.

Now, the next problem is that of those accepted students, we need to find out how many actually enroll. The problem says they accept 40% of the accepted students. Applying the same principle,

Number of enrolled students = .4 * 18000 = 7,200

The number of students that actually enroll is 7,200.

Alternatively, .6 * 30000 * .4 would give you the same result.

Combining the pieces together, we are asking for 60% of 30,000. Then getting 40% of that 60%.

3 0
2 years ago
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