R=23 because its slope the formula is Y-Y/X-X
Answer:
Height of the awning = 9.52 feet
Step-by-step explanation:
For better understanding of the solution, see the attached diagram of the problem :
According to the figure, AB is the height of the awning
Now, the base of awning will be perpendicular to the building
⇒ m∠ABC = 90°
In ΔABC, By using angle sum property of a triangle
m∠ABC + m∠ACB + m∠BAC = 180°
⇒ m∠ACB = 50°
Hence, Height of the awning = 9.52 feet
The answer is B) 43<span>°
Angle ADB is an inscribed angle which means arc AB has an angle twice that of angle ADB. The angle of the arc would be the same as that of the central angle AOB. So, mAOB = 86</span>°. And since, mAOB = mBOC, then mBOC = 86° and arc BC has a measure of 86° as well. Angle BDC intercepts the arc BC which means half of the angle of arc BC is mBDC. So, mBDC = 43<span>°.</span>
Answer:
The absolute value of point B on the number line is 2.2.
Step-by-step explanation:
A number line is given with point A at coordinate negative 2.2, point B at coordinate negative 1.6, and point C at coordinate 1.2.
So, on the number line, all the points having negative value are on the left side of zero.
Position of the point A is -2.2,
Position of the point B is -1.6,
Position of the point C is -1.2.
The absolute value of any point on the number line is the distance of that point from zero.
So, the absolute value of point B on the number line is the distance of point B from zero which is |-2,2|=2.2.
Answer:
The solution of this system of linear equations is 
.
Step-by-step explanation:
Let be the following system of linear equations:
(1)
(2)
From (1) we clear 
:
And we apply this variable in (2):
And the value of is:
The solution of this system of linear equations is .
