Answer: w = 41
QU = 2(RT)
w + 41 = 2w
w = 41
Answer:
4+3i
Step-by-step explanation:
the
needs to be simplified
first, I broke it down to
and 
simplifies to i ;and can be broken down to
and 
can be simplified further to 3
Now all you have to do is put it together
4(which you didnt have to do anything to)+ 3i( 3 from the sqrt of 9 and i from the sqrt of -1) sqrt 3( which cant be simplified further)
Answer:
90 degrees
Step-by-step explanation:
iiiiiiiiiiii
See the picture attached.
We know:
NM // XZ
NY = transversal line
∠YXZ ≡ ∠YNM
1) <span>
We know that ∠XYZ is congruent to ∠NYM by the reflexive property.</span>
The reflexive property states that any shape is congruent to itself.
∠NYM is just a different way to call ∠XYZ using different vertexes, but the sides composing the two angles are the same.
Hence, ∠XYZ ≡ <span>∠NYM</span> by the reflexive property.
2) Δ<span>
XYZ is similar to ΔNYM by the AA (angle-angle) similarity theoremThe AA similarity theorem states that if two triangles have a pair of corresponding angles congruent, then the two triangles are similar.
Consider </span>Δ<span>XYZ and ΔNYM:
</span>∠YXZ ≡ <span>∠YNM
</span>∠XYZ ≡ ∠NYM
Hence, ΔXYZ is similar to ΔNYM by the AA similarity theorem.
F(2) is same thing as saying x =2
So just plug in 2 for x and solve for x
3*(2)^3 - 12*(2)^2 =
3*8 - 12*4 =
24-48 =
-24
D