
↦<u>∠ 3, ∠ 2, ∠ 6, ∠ 5</u> are the exterior angles in this figure.
<h3>
<u>Step-by-step explanation:</u></h3>
↦ They aren't located inside the figure like ∠ 1 & ∠ 4, so they are exterior angles.
ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ
꧁❣ ʀᴀɪɴʙᴏᴡˢᵃˡᵗ2²2² ࿐
Answer:
v= 29/2
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
−2(v−2)=−3−22
(−2)(v)+(−2)(−2)=−3+−22(Distribute)
−2v+4=−3+−22
−2v+4=(−3+−22)(Combine Like Terms)
−2v+4=−25
−2v+4=−25
Step 2: Subtract 4 from both sides.
−2v+4−4=−25−4
−2v=−29
Step 3: Divide both sides by -2.
−2v
−2
=
−29
−2
v=
29/2
Answer:
a = 36, b = 54
Step-by-step explanation:
Since the terms are in arithmetic progression then there is a common difference d between consecutive terms , that is
b - a = 72 - b ( add b to both sides )
2b - a = 72 → (1)
and
a + b - 72 = b - a ( subtract b - a from both sides )
2a - 72 = 0 ( add 72 to both sides )
2a = 72 ( divide both sides by 2 )
a = 36
-------------
Substitute a = 36 into (1) and evaluate for b
2b - 36 = 72 ( add 36 to both sides )
2b = 108 ( divide both sides by 2 )
b = 54
-----------------
Thus a = 36 and b = 54
The sequence is therefore 36, 54, 72, 90 , .....
You would need two different lines to complete this as lines cannot be both parallel and perpendicular (these are opposites). The answers would be:
Parallel: x = 2
Perpendicular: y = -2
In order to find these, we first need to see that the original line of x = -1 is a horizontal line. Therefore, any line that is parallel should be horizontal as well. To get a horizontal line through the point (2, -2), the only option is x = 2.
Similarly, with the perpendicular line, if the original line is horizontal, the new line must be vertical. The only vertical line that goes through (2, -2) is y = -2.