Answer:
width = x+2
Step-by-step explanation:
area/length = width
(x^2+9x+14) / (x+7) =?
(x+7)(x+2) / (x+7) = x+2
From the circle geometry theorem, a tangent to a circle makes 90° angles with the radius of the circle.
RQ is perpendicular to QP
Triangle RQP is a right-angled triangle
by Pythagoras theorem

units (rounded to one decimal place)
Answer:
The correct answer is:
by <em>rule</em> ASA rule of congruence.
Step-by-step explanation:
First let us prove
by rule ASA (rule of congruence).
<u>Congruent side:</u>
(Given)
<u>Congruent angles:</u>
1. By definition of perpendicular,
Also,

Therefore,
or you can say,
2. Common angle between
is 
In a nutshell, in
,
(Angle)
(Side)
(Angle)
are congruent to the following angle, side and angle of
:
(Angle)
(Side)
(Angle)
Therefore, by ASA rule of congruence, we can say
.
<em>Since both triangles are congruent</em>, the sides
and
are also congruent.
Answer:
y=-18
Step-by-step explanation:
4(x-1)=1/2(x-8)
First, distribute.
4x-4=1/2x-4
Subtract 1/2x from both sides.
7/2x-4=-4
Add 4 to both sides.
7/2x=0
Divide both sides by 7/2.
x=0
The answer is x=0.
Hope this helps :)