For this case we observe that the three angles of the triangle are equal. Also, we have by definition:
A triangle is equilateral, when the three sides have the same length (in addition, the three internal angles measure 60 degrees or
.
Answer:
The three sides have the same length
Answer:
slope of the line is -0.5
y-intercept is 13
Explanation:
The general formula of the linear equation is:
y = mx + c
where m is the slope and c is the y-intercept
1- getting the slope:
We are given the two points:
(6,10) representing (x1 , y1)
(12,7) representing (x2 , y2)
The slope of the line will be calculated as follows:
m = (y2-y1) / (x2-x1) = (7-10) / (12-6) = -3/6 = -0.5
The equation of the line now becomes:
y = -0.5x + c
2- getting the value of the y-intercept:
To get the value of the y-intercept (c), we will use any of the given points, substitute in the equation of the line and solve for c. I will use the point (6,10) as follows:
y = -0.5x + c
10 = -0.5(6) + c
10 = -3 + c
c = 13
Based on the above, the equation of the line would be:
y = -0.5x + 13
Hope this helps :)
Answer:
The distribution is <u>positively skewed</u>.
Step-by-step explanation:
It's not symmetric because the distribution in the chart isn't equally shown or marked. It's not negative skewed either because for it to be negative the graph would have to go down in a negative direction, usually the left, but in the picture you posted the graph is going down in the right direction. Lastly, positively skewed graphs or charts look like the one you posted. They go down in the right direction, hence why they're called "positively" skewed. The right tail of the distribution is longer in positively skewed graphs or charts.
1 inch on the drawing represents 11 feet in the labyrinth middle school.
Step-by-step explanation:
Step 1:
The labyrinth middle school is much larger than the drawing. For 33 inches on the drawing, it is 363 feet on the actual school.
So 33 inches on the drawing is equal to 363 feet in the labyrinth school.
Step 2:
To calculate the scale factor, we divide the measurement after scaling by the same measurement before scaling.
In this case, the drawing that Tabitha drew is after scaling and the labyrinth middle school is the measurement before scaling
The scale factor 
So the scale factor is
. This means that 1 inch on the drawing is 11 feet in the actual school.