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2 years ago

In the figure, a || e, m || n , and m<1 = 108°

Mathematics

1 answer:

antoniya [11.8K]2 years ago

6 0

Answer:

108°

Step-by-step explanation:

Angle 1 = Angle 2

Vertically opposite angles

Angle 2 = Angle 3 = 108

Corresponding angles

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2.) Solve 48 = -6 4.) Solve 4 + 3.5 = 12.5

3241004551 [841]

These aren't solvable.

5 0

3 years ago

Suppose that you are conducting a survey on how many students have blue eyes in each first period classroom at Garfield Middle s

rusak2 [61]

Answer:

The correct statement is the first one: The number of blue-eyed students in Mr. Garcia's class is 2 standard deviations to the right of the mean

Explanation:

To calculate how many standard deviations a particular value in a group is from the mean, you can use the z-score:

$z-score=(x-\mu )/\sigma$

Where:

$z-score$ is the number of standard deviations the value of x is from the mean

$\mu$ is the mean

$\sigma$ is the standard deviation

Substitute in the formula:

$z-score=(10-6)/2=4/2=2$

Which means that the number of blue-eyed students in Mr. Garcia's class is 2 standard deviations above the mean.

Above the mean is the same that to the right of the mean, because the in the normal standard probability graph the central value is Z = 0 (the z-score of the mean value is 0), the positive values are to the right of the central value, and the negative values are to the left of the central value.

Therefore, the correct statement is the first one: The number of blue-eyed students in Mr. Garcia's class is 2 standard deviations to the right of the mean,

4 0

3 years ago

Solve for e. 4/3=-6e-5/3

cricket20 [7]

Answer:

e = 1/2

Step-by-step explanation:

to solve foe e in this 4/3=-6e-5/3

solution

4/3=-6e-5/3

4/3 + 5/3 = 6e

find the lcm of the left hand side

4 + 5/3 = 6e

9/3 = 6e

cross multiply

3 x 6e = 9 x 1

18e = 9

divide both sides by the coefficient of e which is 18

18e /18 = 9/18

e = 1/2

therefore the value of e in the expression above is evaluated to be equals to 1/2

5 0

3 years ago

Determine whether or not 630 is a triangular number. start with the formula t n = n ( n + 1 ) 2 and then use the quadratic formu

ziro4ka [17]

Triangular sequence = n(n + 1)/2

If 630 is a triangular number, then:

n(n + 1)/2 = 630

Then n should be a positive whole number if 630 is a triangular number.

n(n + 1)/2 = 630

n(n + 1) = 2*630

n(n + 1) = 1260

n² + n = 1260

n² + n - 1260 = 0

By trial an error note that 1260 = 35 * 36

n² + n - 1260 = 0

Replace n with 36n - 35n

n² + 36n - 35n - 1260 = 0

n(n + 36) - 35(n + 36) = 0

(n + 36)(n - 35) = 0

n + 36 = 0 or n - 35 = 0

n = 0 - 36, or n = 0 + 35

n = -36, or 35

n can not be negative.

n = 35 is valid.

Since n is a positive whole number, that means 630 is a triangular number.

So the answer is True.

7 0

2 years ago

Anyone help me this is my final exam please i dont havee timeee

d1i1m1o1n [39]

Both lines intersect at the point
(-0.5, 0.5)

5 0

3 years ago