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Marizza181 [45]
3 years ago
9

Find the fourth angle. picture below pleasae help

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

Answer:

88°

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

<u>Geometry</u>

  • Sum of Angles: 180(n - 2)°

Step-by-step explanation:

<u>Step 1: Identify</u>

We have a polygon, so n = 4.

  1. Substitute [SA]:                    180(4 - 2)°
  2. (Parenthesis) Subtract:        180(2)°
  3. Multiply:                                360°

This tells us the sum of all angles in the shape.

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

  1. Set up equation:                     90° + 93° + 89° + x° = 360°
  2. Combine like terms:               x° + 272° = 360°
  3. Isolate <em>x</em>:                                  x = 88°
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Answer:

900 sample size

Step-by-step explanation:

To determine the sample size for a proportion, the margin of error formula is used to determine this:

E=Z_{\frac{\alpha}{2} }*\sqrt{\frac{\hat p \hat q}{{n} }

n=\hat p \hat q*(\frac{Z_{\frac{\alpha}{2} }}{E} )^2

Where p is the proportion, E is the margin of error, n is the sample size, q = 1 - p, Z_\frac{\alpha }{2} is the z score.

Since the proportion is not known, the sample size needed to guarantee the confidence interval and error is at p = 0.5 and q = 1 - p = 1 - 0.5 = 0.5

E = 5% = 0.05, Z_\frac{\alpha }{2} = 3. Hence:

n=0.5*0.5*(\frac{3}{0.05} )^2\\\\n = 900

6 0
3 years ago
Noa was walking in the forest and measured the circumference of two trees that he found. The first tree measured 37 5/8 inches a
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Answer:

Step 4: 44 32/24 - 37 15/24= 8 17/24

<u>Here we can finally find out the mistake done by Noa. The result is 7 17/24 and not 8 17/24.</u>

Step-by-step explanation:

1. Let's review carefully all the steps taken by Noa to calculate the difference of the circumferences of the two trees.

Circumference Tree 1 = 37 5/8 inches around

Circumference Tree 2 =  45 1/3 inches around

Step 1: 45 1/3- 37 5/8

The measures are correct, no issues copying them.

Step 2: 45 8/24 - 37 15/24

Noa looked for common denominators

1/3 * 8/8 = 8 /24 is correct; 5/8 * 3/3 = 15/24 is also correct.

Step 3: 44 32/24 - 37 15/24

Noa looked for making the fraction part higher on the left side:

45 8/24 = 44 32/24 is correct because 24/24 = 1

Step 4: 44 32/24 - 37 15/24= 8 17/24

<u>Here we can finally find out the mistake done by Noa. The result is 7 17/24 and not 8 17/24.</u>

4 0
3 years ago
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Find the value of x (URGENT/GIVING BRAINLIEST)
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Answer:

B)10

Step-by-step explanation:

Because this is a right angle(indicated by the red box) the total measure should be 90°.

And based on that we say 5X +40=90

Subtract 40 from both sides to get 5x=50

And then divide both sides by 5 to get x=10

7 0
3 years ago
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F(x)=3x+5 and g(x)=2x+1<br><br>value of x​
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You can treat x and 2x+1 just as though they are real numbers.

So f(2x+1) = 3(2x+1) - 5 = 6x + 3 - 5 = 6x - 2

In the above, I made use of something called the distributive law which says that if a,b and c are real numbers, then a(b+c) = ab + ac.

7 0
3 years ago
in Hanley's school, 0.723 of the students participated in an event. if there are 1000 students in Hanley School, how many partic
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Answer:

723 students participated in the event

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The total number of students in Hanley's school = 1000

0.723 of the students participated in an event

Number of students that participated in the event = 0.723 x 1000

Number of students that participated in the event = 723

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1 year ago
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