The slopes of two lines are equal which means that the lines are parallel.
Further explanation:
The slopes of lines are used to find the relationship between two line.
- If two lines are parallel, then their slopes will be equal.
- If two lines are perpendicular, the product of slopes of both lines will be -1
The standard form of equation of line is:

The coefficient of x is the slope here.
y=1/3x+4
Let m1 be the slope of first line:


Let m2 be the slope of second line

We can see that:

The slopes of two lines are equal which means that the lines are parallel.
Keywords: Parallel Lines, Perpendicular Lines
Learn more about lines at:
#LearnwithBrainly
Break up the shape into two so you have:
A rectangular prism dimensions 4x2x5
A rectangular prism dimensions 5x3x14
Now you can find the volume of each:
4·3·5 = 60
5·3·14 = 210
Add the two volumes up to get the volume of the composite figure:
210 + 60 = 270
She is starting at 4000, so that is the y-intercept of the graph. She is descending at 40 feet per minute, so her rate of change or slope is -40. The graph would look like this:
Answer:
"Can't be determined"
Step-by-step explanation:
From the triangles given in the picture,
Given:
m∠A = m∠C
m∠B = m∠D
But for the congruence of these triangles third condition is not given.
Therefore, congruence of these triangles can not be determined.
So the answer is "Can't be determined"
Answer:
0.1994 is the required probability.
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = 166 pounds
Standard Deviation, σ = 5.3 pounds
Sample size, n = 20
We are given that the distribution of weights is a bell shaped distribution that is a normal distribution.
Formula:
Standard error due to sampling =

P(sample of 20 boxers is more than 167 pounds)
Calculation the value from standard normal z table, we have,
0.1994 is the probability that the mean weight of a random sample of 20 boxers is more than 167 pounds