Talking about a parallelogram, we know that:
opposite sides and angles are congruent
in the picture below:
∠A = ∠C
AD = BC
if one angle is right, then the rest are right as well (making it a rectangle/square)
The consecutive angles are supplementary (meaning they add up to 180)
A + D = 180°
If y and w are consecutive angles, then
w = 180 - 32
=148°
If they are opposite angles, w = 32° (congruent angles)
Answer:
x= 10/3
Step-by-step explanation:
1/250 : 2 = 1/150 : x
it's a simple problem of ratio and proportion
1/250 : 2 = 1/150 : x
⇒
⇒
x= 10/3
Answer:
(a) d dt y7=7Y^6
(b) d dt y3e4t=3Y^2e^{4t}+4Y^3e^{4t}
(c) d dt t7 cos(y6)=7t^6 cos(y6)+t^7(-sin(y^6))·6Y^5
Step-by-step explanation:
We calculate the following derivatives. Since these are complex derivatives, we also calculate the formula for complex derivatives. We use Y for the derivative of y . Therefore, we calculate and we get
(a) d dt y7=7Y^6
(b) d dt y3e4t=3Y^2e^{4t}+4Y^3e^{4t}
(c) d dt t7 cos(y6)=7t^6 cos(y6)+t^7(-sin(y^6))·6Y^5