For this case we have that by definition, the equation of a line of the point-slope form is given by:
Where:
m: It's the slope
: It is a point through which the line passes
To find the slope, we need two points through which the line passes, observing the image we have:
Thus, the equation is of the form:
We choose a point:
Finally, the equation is:
Answer:
Option D
Answer:
Step-by-step explanation:
step 1
Find the length side of the smaller square
The area of the square is equal to
so
step 2
Find the length side of the larger square
The area of the square is equal to
so
step 3
Find the value of x
Applying the Pythagoras Theorem
substitute the values
24, 31, 38, 45, 52, 59, 66, 73, 80
<h3>
Answer: 226 degrees</h3>
=====================================================
Explanation:
Notice the tickmarks on the segments in the diagram. This tells us that chords DC and CB are the same distance from the center. It furthermore means that DC and CB are the same length, and arcs DC and CB are the same measure
arc DC = arc CB
12x+7 = 18x-23
12x-18x = -23-7
-6x = -30
x = -30/(-6)
x = 5
---------------------
Use this x value to find the measure of arcs DC and CB
- arc DC = 12x+7 = 12*5+7 = 67
- arc CB = 18x-23 = 18*5-23 = 67
We get the same measure for each, which helps confirm we have the correct x value.
The two arcs in question add to 67+67 = 134 degrees. This is the measure of arc DCB. Subtract this from 360 to get the answer
arc DAB = 360-(arc DCB) = 360-134 = 226 degrees
I'm using the idea that (arc DCB) + (arc DAB) = 360 since the two arcs form a full circle.
Answer:
In Triangle FGH, m<F = 42 and an exterior angle at vertex H as a measure of 104. What is the measure of <G?
Step-by-step explanation:
