The x coordinate of S will be 1/2 * 2a = a.
and since the half triangle is 30-60-90 the y coordinate will be sqrt3 a
so S is (a , sqrt3a)
Answer:
compute its exterior angle as 360/18, which is 20 degrees
Step-by-step explanation:
Answer:
x<-8
Step-by-step explanation:
four more than twice a number = 4+2X
is less than negative twelve = <-12
4+2X<-12
(4-4)+2X< -12-4
2x<-16
X<-8
Answer:
y = (3/2)x + 8
Step-by-step explanation:
Hi
First let's find the slope of the given line by converting to slope-intercept form:-
2x + 3y = 9
3y = -2x + 9
y = (-2/3)x + 3
From this we see that the slope is -2/3.
The slope of a line perpendicular to this one will be - 1 / (-2/3)
= 3/2. ( because for a line and its perpendicular, the slopes' product = -1).
Using the point-slope form to find the equation of this line
y - y1 = m(x - x1). Here m = slope and (x1, y1) is a point on the line.
Plugging in the given values , m = 3/2 , x1 = -2 and y1 = 5:-
y - 5 = 3/2 (x - -2)
y - 5 = 3/2x + 3
y = (3/2)x + 8 which is the equation in slope-intercept form.
<h3>
Answer: angle EBD = 50 degrees</h3>
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Explanation:
BD bisects angle EBC
This means the angle EBC is broken up into two smaller equal pieces angle EBD and angle DBC
So,
angle DBC = angle EBD
7x+8 = 5x+20
7x-5x = 20-8
2x = 12
x = 12/2
x = 6
Now that we know x, we can find each angle
angle DBC = 7x+8
angle DBC = 7*6+8
angle DBC = 42+8
angle DBC = 50 degrees
and
angle EBD = 5x+20
angle EBD = 5*6+20
angle EBD = 30+20
angle EBD = 50 degrees
Both angles are 50 degrees, to this confirms our answer.
