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NISA [10]
3 years ago
5

Help with this question please!

Mathematics
1 answer:
Anton [14]3 years ago
5 0

∠1 and ∠2 are alternate exterior angles where transversal BE crosses parallel lines AC and DF, therefore they are equal. ∠2 and ∠3 are opposite angles of a parallelogram, therefore they are equal.

... ∠1 = ∠2

... 3x -5 = 2x +15 . . . . substitute the given values

... x = 20 . . . . . . . . . . . add 5-2x

The measures of angles 1, 2, and 3 are 2·20+15 = 55 . . . degrees.

You might be interested in
Tell whether each number is rational or irrational: Pi, -1/2, the square root of 2/3, and 0.57575757
DedPeter [7]
Pi: Irrational
√(2/3): Irrational

0.57575757 is rational 
and -1/2 is rational.
I hope this helps.
5 0
3 years ago
In an Algebra II class with 135 students, the final exam scores have a mean of 72.3 and standard deviation 6.5. The exams on the
gregori [183]
Population = 135 students
Mean score = 72.3
Standard deviation of the scores = 6.5

Part (a): Students from 2SD and 3SD above the mean
2SD below and above the mean includes 95% of the population while 3SD includes 99.7% of the population.
95% of population = 0.95*135 ≈ 129 students
99.7% of population = 0.997*135 ≈ 135 students

Therefore, number of students from 2SD to 3SD above and below the bean = 135 - 129 = 6 students.
In this regard, Students between 2SD and 3SD above the mean = 6/2 = 3 students

Part (b): Students who scored between 65.8 and 72.3
The first step is to calculate Z values
That is,
Z = (mean-X)/SD
Z at 65.8 = (72.3-65.8)/6.5 = 1
Z at 72.3 = (72.3-72.3)/6.5 = 0
Second step is to find the percentages at the Z values from Z table.
That is,
Percentage of population at Z(65.8) = 0.8413 = 84.13%
Percentage of population at (Z(72.3) = 0.5 = 50%
Third step is to calculate number of students at each percentage.
That is,
At 84.13%, number of students = 0.8413*135 ≈ 114
At 50%, number of students = 0.5*135 ≈ 68

Therefore, students who scored between 65.8 and 72.3 = 114-68 = 46 students
4 0
3 years ago
I need help with this​
OLga [1]

Answer:

121

Step-by-step explanation:

The sum of the angles inside a triangle is always 180. The missing angle in the triangle must then be 180 -74 -47 = 59 degrees. The angles on a straight line add up to 180 degrees so x + 59 = 180. x = 180-59 = 121

3 0
3 years ago
How to solve<br> -22-x=5+6x+9
nadya68 [22]
  -22 - x = 5 + 6x + 9   Combine like terms (5 and 9)
  -22 - x = 14 + 6x        Subtract 6x from both sides
-22 - 7x = 14                Add 22 to both sides
        -7x = 36               Divide both sides by -7
           x = 5\frac{1}{7}
6 0
3 years ago
Multiply 2^(9)*2^(2)*2^(4)
Flauer [41]

Answer:

2 ^ 15

Step-by-step explanation:

2 ^9  * 2 ^ 2   * 2 ^ 4

When we multiply numbers with the same base, we can add the exponents

a^ b * a^ c = a^(b+c)

2 ^9  * 2 ^ 2   * 2 ^ 4

2 ^ ( 9+2+4)

2 ^ 15

3 0
3 years ago
Read 2 more answers
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