Answer:
Step-by-step explanation:
Point P is on line segment
O
Q
‾
OQ
. Given
O
P
=
6
,
OP=6,
O
Q
=
4
x
−
3
,
OQ=4x−3, and
P
Q
=
3
x
,
PQ=3x, determine the numerical length of
O
Q
‾
.
OQ
.
Label known information:
Label known information:
O
P
Q
6
3x
OQ = 4x – 3
O
P
+
P
Q
=
OP+PQ=
O
Q
OQ
6
+
3
x
=
6+3x=
4
x
−
3
4x−3
−
4
x
−4x=
−
4
x
−4x
−
x
+
6
=
−x+6=
−
3
−3
−
6
−6=
−
6
−6
−
x
=
−x=
−
9
−9
−
x
−
1
=
−1
−x
=
−
9
−
1
−1
−9
x
=
x=
9
9
Plug in value of
x
to find
O
Q
:
Plug in value of x to find OQ:
O
Q
=
4
x
−
3
=
4
(
9
)
−
3
=
33
OQ=4x−3=4(9)−3=33
You can plug
x
into each expression:
You can plug x into each expression:
O
P
Q
6
3(9)
OQ = 4(9) – 3
Simplify:
Simplify:
O
P
Q
6
27
OQ = 33
Final Answer:
Final Answer:
O
Q
=
33
OQ=33
Answer:
see explanation
Step-by-step explanation:
p(- 3, 6 ) → p'(- 4, 8 )
Note that the x- coordinate of p' is 1 less than p and the y- coordinate of p' is 2 more than p, thus the translation is
![\left[\begin{array}{ccc}-1\\2\\\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-1%5C%5C2%5C%5C%5Cend%7Barray%7D%5Cright%5D)
Option C: 126° is the correct answer
Step-by-step explanation:
When two lines intersect, the four angles are formed. The angles vertically opposite with same vertex are called vertical opposite angles.
The opposite vertical angles are equal.
In the given figure, the pairs of vertically opposite angles are e,h and f,g.
Given
∠e = 126°
The measurement of e and h will be equal as they are vertically opposite
So,
m∠e = m∠h
m∠h = 126°
Hence,
Option C: 126° is the correct answer
Keywords: Vertical angles, lines
Learn more about angles at:
#LearnwithBrainly
Answer:
5⦁ 7⦁ 2 = 2⦁7 is not true
Step-by-step explanation:
70 ≠ 14
Answer:
A=-3 And B=2
Step-by-step explanation: