Answer:
122 Degrees
Step-by-step explanation:
Since we are given that angle 1 and 2 make a linear pair:
angle 1 + angle 2 = 180 degrees ----------------------------(1)
We have also been told that angle 2 is 6 more than twice the measure of angle 1
Which means: angle 2 = (2*angle1) + 6 -------------------(2)
From putting the value of angle 2 in (1) from (2)
<em>angle 1 + 2*angle 1 + 6 = 180</em>
<em>3*angle 1 = 174</em>
angle 1 = 58 degrees -----------------------(3)
From (1) and (3):
<em>angle 2 + 58 = 180</em>
angle 2 = 122 degrees
Therefore, the measure of angle 2 is 122 degrees
Step-by-step explanation:
I am not sure what you want to calculate as ultimate goal.
but your have an error already in your third line in the picture.
(3-6i)(2-4i) = 3×(2-4i) - 6i(2-4i)
you had there a "+" instead of a "-".
and then you made subsequent mistakes in every line, some of them are funnily bringing you more back to the real result (e.g. -12i + 12i would be 0 and not -24i, but if the third line would have been correct, then yes, -24i is actually needed) - but not completely.
= 3×2 - 3×4i - 6i×2 + 6i×4i =
= 6 - 12i - 12i + 24×-1 = 6 - 24i - 24 = -24i - 18
then in the last 3 lines you kind of lose it completely. I am absolutely not sure, what you are calculating, and where the "+" cube from instead of "×" (multiplications) and such.
(3+6i)(2+4i) = 3×2 + 3×4i + 6i×2 + 6i×4i =
= 6 + 12i + 12i + 24×-1 =
= 6 + 24i - 24 = 24i - 18
is that what you wanted to show ?
Answer:
<h3>
Cristiano walked farther</h3><h3>
In 1 day: Lionel walked 1.8 mile</h3><h3>
Cristiano walked 1.875 mile</h3>
Step-by-step explanation:
2/6 = 1/3 so we just need to know what is more 3/5 or 5/8
3/5 = (3•8)/(5•8) = 24/40
5/8 = (5•5)/(8•5) = 25/40
25 > 24 so 5/8 > 3/5
so <u>Cristiano walked farther</u>
They walk for 1/3 of a day so in a whole day they walk three times the distance
3/5 • 3 = 9/5 = 1 4/5 = 1.8 mile
5/8 • 3 = 15/8 = 1 7/8 = 1.875 mile
1g=16c
16g=X
X=256
I really hope that helped
Answer:
PV = 8 VT = 4√3
Step-by-step explanation:
Given
PT = 4
With reference angle 30°
perpendicular (p) = 4
hypotenuse (h) = ?
sin 30° = p/h
1/ 2 = 4 / h
cross multiply
h = 8
with reference angle 60°
perpendicular (p) = ?
hypotenuse (h) = 8
sin 60° = p/h
√3 / 2 = p / 8
Cross multiply
2p = √3 * 8
p = 4 √3
Hope it's correct and would be helpful :)❤