Answer:
From the given figure we can see that :---
MN||PO, MN=PO and MP=NO
Therefore, angle M=angle N (adjacent sides of the trapezoid)

angle M=angle N= (6×18)+20=108+20 =128°
angle O =(180°-128°)=52°
<h3>Hence, angle O is <u>52°.</u></h3>
Answer:
"She invested $2500 in 5% account and $5500 in 8% account"
Step-by-step explanation:
Let the amount invested in 5% account be "x"
So, the amount invested in 8% account would be "8000 - x"
Interest amount is the percentage multiplied by amount invested. So
Interest of 5% account = 5% of x = 0.05x
Interest of 8% account = 8 % of 8000 - x = 0.08(8000 - x)
Total interest is the sum of these 2 expressions that EQUATES to 565 (given). Let's solve for x:

and thus,
"8000 - x" = 8000 - 2500 = 5500
Hence,
She invested $2500 in 5% account and $5500 in 8% account
Answer:
The diameter will increase at a rate of 1/30π cm/min
Step-by-step explanation:
Here we want to calculate the rate at which the diameter will increase
Mathematically, the area of a sphere is given as;
A = 4πr^2
But r = d/2
so A = 4 * π * d/2 * d/2 = πd^2
dA/d(d) = 2πd
Thus dd/dA = 1/2πd = 1/2 * π * 15 = 1/30π
Given dA/dt = 10
Mathematically;
d(d)/dt = d(d)/dA * dA/dt
dd/dt = 1/30π * 10 = 10/30π = 1/3π cm/min
Answer:
El precio de la falda es 50 €.
Step-by-step explanation:
Lo que sabemos:
(1)
En donde F es por falda y B por blusa.
Si compras 6 faldas y 4 blusas y pagas 480 €:
(2)
Entonces, al introducir la ecuación (1) en (2) podemos hallar el precio de cada falda.


Finalmente, el precio de la falda se puede encontar con la ecuación (1):

Por lo tanto, el precio de la falda es 50 €.
Espero que te sea de utilidad!
Corresponding Parts of Congruent Triangles are Congruent
meaning that the same parts of triangles that are congruent will also be congruent