Blank 1: Given
Blank 2 : AD is parallel to BC
Blank 3: <3≅<2
Blank 4: Transitive property of convergence
Blank 5: Definition of Bisect
Step-by-step explanation:
We need to fill in the blanks from the given options.
Blank 1:
ABCD is a parallelogram
This is given
So, blank 1: Given
Blank 2:
A parallelogram have parallel sides i.e in the given parallelogram AD is parallel to BC and AB is parallel to DC
So, Blank 2 : AD is parallel to BC
Blank 3:
We are given <3≅<2
So, Blank 3: <3≅<2
Blank 4:
We know, <1≅<3 and <3≅<2 using transitive property (A≅B and B≅C then A≅C)
So, <1 ≅ <2 is due to transitive property of convergence
Blank 4: Transitive property of convergence
Blank 5:
DC bisects <ADE
A bisect is an line or angle that divides into exactly two parts.
So, Blank 5: Definition of Bisect
Keywords: parallelogram, bisection
Learn more about parallelogram at:
#learnwithBrainly
You have to use implicit derivative
dy / dx = y'
xy^3+y=3x
y^3 + 3xy^2 y' + y' = 3
[3xy^2 + 1) y'= 3 - y^3
3 - y^3
y' = ----------------- <-----------answer
3xy^2 + 1
Step-by-step explanation:
You can write an equation of a line conveniently by point-slope form. It's in the form of
where
is the coordinates of a point that's on the line and
is the slope of the line.
Now choose a point (It doesn't really matter which one) and plug that in the equation. I'll choose
where
and 

The next thing we have to do now is finding the slope,
, where it's equal to
. I'll make
point 1 and
point 2.

Now let's plug that to our equation.

Now we have the equation but out of all the choices it seemed that all of them are in slope-intercept form all you have to do now is make our equation rewrite it in slope-intercept form.

<h3>Answer:</h3>
is your equation.
2x+2 < x+3
2x-x < 3-2
x <1
Find m∠BOC, if m∠MOP = 110°.
Answer:
m∠BOC= 40 degrees
Step-by-step explanation:
A diagram has been drawn and attached below.
- OM bisects AOB into angles x and x respectively
- ON bisects ∠BOC into angles y and y respectively
- OP bisects ∠COD into angles z and z respectively.
Since ∠AOD is a straight line
x+x+y+y+z+z=180 degrees

We are given that:
m∠MOP = 110°.
From the diagram
∠MOP=x+2y+z
Therefore:
x+2y+z=110°.
Solving simultaneously by subtraction

x+2y+z=110°.
We obtain:
x+z=70°
Since we are required to find ∠BOC
∠BOC=2y
Therefore from x+2y+z=110° (since x+z=70°)
70+2y=110
2y=110-70
2y=40
Therefore:
m∠BOC= 40 degrees