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3 years ago

Lines m and n are parallel. They are cut by transversal L. what other angles is equal to 100 degrees

Mathematics

2 answers:

Studentka2010 [4]3 years ago

5 0

Angle 4,5, and 8 are equivalent to 100 degree<span />

astraxan [27]3 years ago

5 0

Answer:

Angles 4, 5 and 8 are equal to 100 degrees.

Step-by-step explanation:

We have been given two parallel lines m and n that are cut by transversal l.

We know that when two parallel lines are cut by a transversal, then alternate interior angles, corresponding angles and alternate exterior angles formed are equal.

We can see that angle 4 and 100 degree angles are vertical angles, therefore, measure of angle 4 is equal to 100 degrees.

Angle 4 and angle 5 are alternate interior angles, therefore, measure of angle 5 is also 100 degrees.

Angle 8 and 100 degrees angle are alternate exterior angles, therefore, measure of angle 8 is also 100 degrees.

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What is ] -7.9? in absolute values

larisa [96]

Answer:

7.9

Step-by-step explanation:

5 0

2 years ago

Determine which function has the greatest rate of change as x approaches infinity.

Mekhanik [1.2K]

Answer: h(x) = 3*x^2 - 7*x + 8

Step-by-step explanation:

The rate of change of a function is equal to the derivate:

remember that a derivate of the form:

k(x) = a*x^n is k'(x) = n*a*x^(n-1)

Then we have:

f(x) = 2*x - 10

f'(x) = 1*2* = 2

g(x) = 16*x - 4

g'(x) = 1*16 = 16

h(x) = 3*x^2 - 7*x + 8

h'(x) = 2*3*x - 1*7 = 6*x - 7

So the only that increases as x increases is h(x), this means that the greates rate of change as x approaches inffinity is the rate of change of h(x)

3 0

3 years ago

Select the domain and range of F. F = {(x, y ) | x + y = 10}. Domain: {10} Range: {10} Set F is not a function and does not cont

MissTica

Answer:

Domain is all Real Numbers and the Range is all Real Numbers.

Step-by-step explanation:

It is a function.

The graph of this function is a straight line passing through the x axis at (10,0) and the y-axis at (0,10). The line continues to the left and right without bounds.

So the Domain is all Real Numbers and the Range is all Real Numbers.

4 0

3 years ago

The first time a census was taken in Esinville, the population was 12,621. Each year after that, the population was about 6% hig

Sedbober [7]

Step-by-step
Population was 12.621 when it was measured

Next year it rose by 6%, so add that 6% to 100% and multiply with population measured

12.621 × (100%+6%) = 12.621 × 106% = 13.379,24

Since a man cant be 0,24, we count that as +1

13.379,24 = 13.379 + 1 = 13.380

That was for a year after measurement, now let's calculate for another year
Now, add those 6% to a new population number

13.380 × (100%+6%) = 13.380 × 106% = 14.182,8

since 0,8 isn't a man, instead we add again +1

14.182,8 = 14.182 + 1 = 14.183

now let's do it for another year after last, by adding those 6% to a newest population number

14.183 × (100%+6%) = 14.183 × 106% = 15.033,98

round it again to +1, since 0.98 isn't a man

15.033,98 = 15.033 + 1 = 15.034

that is it, now graph is in the picture.

8 0

2 years ago

1. Among 806 people asked which is there favorite seat on a plane, 492 chose the window seat, 8 chose the middle seat, and 306 c

prisoha [69]

Answer:

See explanation

Step-by-step explanation:

Among 806 people asked which is there favorite seat on a plane, 492 chose the window seat, 8 chose the middle seat, and 306 chose the aisle seat, then

$P(\text{Window seat})=\dfrac{492}{806}=\dfrac{246}{403}\\ \\P(\text{Middle seat})=\dfrac{8}{806}=\dfrac{4}{403}\\ \\P(\text{Aisle seat})=\dfrac{306}{806}=\dfrac{153}{403}$

a) One randomly selected person preferes aisle seat with probability

$\dfrac{153}{403}$

b) Two randomly selected people both prefer aisle seat (with replacement) is

$\dfrac{306}{806}\cdot \dfrac{306}{806}=\dfrac{153}{403}\cdot \dfrac{153}{403}=\dfrac{23,409}{162,409}$

c) Two randomly selected people both prefer aisle seat (without replacement) is

$\dfrac{306}{806}\cdot \dfrac{305}{805}=\dfrac{153}{403}\cdot \dfrac{61}{161}=\dfrac{9,333}{64,883}$

8 0

2 years ago