To answer, change the 6 into a fraction
6 x 6/6 = 36/6
36/6 + 4/6 = 40/6
Simplify
40/6 = 6 4/6, or 6 2/3 (simplified)
hope this helps
Answer:
4p + 2
Step-by-step explanation:
(6p + 3) - (2p + 1)
Distribute the minus sign
6p +3 -2p -1
4p +2
Answer:
Angle sqr = 119°
Step-by-step explanation:
In the above question, we are given:
angle pqt is (3x+47)°
angle sqr is (6x-25)°
Angle pqt = Angle sat
We solve for x
3x + 47 = 6x - 25
Collect like terms
47 + 25 = 6x - 3x
72 = 3x
x = 72/3
x = 24
We solve for the measure of angle sqr
Angle sqr = (6x - 25)
x = 24
6 × 24 - 25
144 - 25
= 119°
For the proof here kindly check the attachment.
We are given that
. Also, the transversal is shown. Let us take the first case, that of
and
. Please note that all other proofs will follow in a similar manner.
Let us begin, please have a nice look at the diagram. We will see that
and
are vertically opposite angles. We know that vertically opposite angles are congruent. Thus,
and
are congruent angles.
=
Now, we know that
and
are alternate interior angles. We also, know that alternate interior angles are equal too. Thus, we have:
= 
From the above arguments it is clear that:
=
=
.
Thus,
= 
We have proven the first instance. Please note that all other instances can be proved in a similar fashion.
For example, for
and
we can take
and
as vertically opposite angles thus making
=
. Now,
and
are alternate interior angles and thus
and
are equal. Thus, we have
and
.
Sarah's 10 years old.
Antonio's 2 years old.
2 x 2 = 4
10 x 3 = 30
4 + 30 = 34
2 x 5 = 10