Part A:
From the figure shown.
The measure of line TH = 14' 72" = 14' + 72" / 12 = 14' + 6' = 20'
Given that the measure of line HI = 20'
Thus, triangle THI is an isosceles triangle with line TI as the base.
Part B:
To find the base angles we use the Pythagoras theorem.
Recall that the perpendicuar bisector of an isosceles triangle divides the triangle into two equal right triangles.
Dividing the base into two gives 22.5' / 2 = 11.25'
Thus, the perpendicular bisector divides the isosceles triangle into two equal right triangles with base of 11.25' and hypothenus of 20'.
By pythagoras theorem,
Therefore, the base angles is 55.77 degrees.
In the first problem you are given a formula (y = 3x), along with a table.
From the data in the table, find the slope of the linear equation that relates x and y in that data.
Then compare the two slopes. Which is the greater? the smaller?
Answer:
a inside the circle
Step-by-step explanation:
We can see by the equation of a circle (x-a)^2+(y-b)^2=c^2 a circle is centered at (a,b) and with a radius of 3. In this case the circle is centered at (2,-5) and has radius 6. Using distance formula we can see the distance between center and (-3,-4) is square root of 26 which is less than 6 thus the point lies inside the circle
The answer to this problem is m=11 hope this helps