All categories

3 years ago

Given that you have 2 parallel lines cut by a transversal, what is the measure of angle 2?

Mathematics

1 answer:

Archy [21]3 years ago

4 0

Step-by-step explanation:

angle 2 = 2x + 10 deg (corresponding angles) or 180 - 4x + 46 deg (angles on a straight line are supplementary)

therefore,

2x + 10 = 226 - 4x

6x = 216

x = 36

hence,

angle 2 = 2(36) + 10 = 82deg

Topic: Angles

If you like to venture further, do check out my insta (learntionary) where I regularly post useful math tips! Thank you!

You might be interested in

WILL GIVE BRAINLIST AS SOON AS I CAN, PLEASE HELP I CANT FIGURE THIS ONE OUT

Goryan [66]

Segment CD

This is because where there is a perpendicular line, there has to be a right angle(90degrees) at the point of contact.

5 0

3 years ago

Read 2 more answers

Work out m and c for the line: y = 2x - 3

saveliy_v [14]

Answer:

m = 2

c = -3

Explanation:

Equation of Line ⇒ y = mx +c

y = 2x - 3

m = 2

c = -3

3 0

3 years ago

Read 2 more answers

An airplane is flying from New York City to Los Angeles. The distance it travels in miles d, is related to the time in seconds,

34kurt

Answer:

A. 0.15

B. 0.45

C. 85

Step-by-step explanation:

Given that:

Equation to represent the relation between distance, $d$ in miles and time $t$ in seconds:

$d=0.15t$

A.

To find: The speed of airplane in miles per second.

Formula for speed is given as:

$Speed = \dfrac{Distance}{Time}$

Here, we will have to find the value of $\frac{d}{t}$ .

Dividing the given equation by $t$ , we get:

$\dfrac{d}{t}=0.15$

$d$ is in miles and $t$ is in seconds.

Therefore, the answer is 0.15.

B.

Distance traveled in 30 seconds.

Given that: $t$ = 30 seconds

To find: $d = ?$ in miles

$d = 0.15\times 3 = 0.45$

C.

The time taken to travel a distance of 12.75 miles.

Given that : $d =12.75\ miles$

To find: $t = ?$ seconds

$12.75 = 0.15t\\\Rightarrow t = \dfrac{12.75}{0.15}\\\Rightarrow \bold{t = 85}$

3 0

3 years ago

The completion time for an exam is normally distributed with expected value 75 minutes and variance 12 minutes. What is the prob

Debora [2.8K]

Answer:

14.89% or 0.1489

Step-by-step explanation:

First, find the z-score for both 70 and 80 minutes and their corresponding percentile.

$z= \frac{X - \mu }{SD} \\SD=\sqrt{V} =\sqrt{12}\\\mu =75\\z= \frac{X - 75}{\sqrt{12}}\\\\$

For X = 70 minutes:

$z= \frac{70 - 75}{\sqrt{12}}\\z=-1.4434$

This z-score is equivalent to the 7.445 th percentile, so the probability of a student finishing this exam in less than 70 minutes is 7.445%

or X = 80 minutes:

$z= \frac{80 - 75}{\sqrt{12}}\\z=1.4434$

This z-score is equivalent to the 92.555 th percentile, so the probability of a student finishing this exam in more than 80 minutes is 100- 92.555 = 7.445%

Therefore, the probability (P) of a student finishing this exam in less than 70 minutes or more than 80 minutes is:

P = 7.445% + 7.445% = 14.89%

5 0

3 years ago

The number of boxes in an airmail shipment is it continuous or discrete?

trasher [3.6K]

Answer:

The number of boxes in an airmail shipment is discrete.

Here is the trick: If you can count it with your fingers, it is discrete, otherwise it is continuous.

*Assume you have a lot of fingers sometimes.

An example of something discrete would be the number of people in a room, because you cannot ever have half a person it means you will always have a whole number and thus discrete.

Something continuous would be how tall you are. You may tell everyone that you are 5'8 but really you are probably 5 foot 8.10444124(some crazy long decimal) inches. Additionalyl people are constantly growing and shrinking at all times throughout their lives due to the gravity, bad posture and natural growth thus it is variable that is varying and continous.

3 0

3 years ago