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MrRissso [65]
3 years ago
8

Can you help me with this please ​

Mathematics
1 answer:
krek1111 [17]3 years ago
5 0

Answflasvkdiuihrytiy\ih\j

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Find the Measure of angle O<br> (see image)<br> Only real answers, please
-Dominant- [34]

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)

(8x - 16)  =  (6x + 20) \\ 2x = 36 \\  \boxed{x = 18}

angle M=angle N= (6×18)+20=108+20 =128°

angle O =(180°-128°)=52°

<h3>Hence, angle O is <u>52°.</u></h3>
3 0
2 years ago
janice invests a total of 8000 in two different accounts. the first account returns 5%, while the second account returns 8%. if
Zinaida [17]

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:

0.05x + 0.08(8000 - x) = 565\\0.05x+640-0.08x=565\\0.03x=75\\x=2500

and thus,

"8000 - x" = 8000 - 2500 = 5500

Hence,

She invested $2500 in 5% account and $5500 in 8% account

6 0
3 years ago
if caramel is put onto a sphere-shaped apple such that the surface area increase at a rate of 10 cm2/min, find the rate at which
tresset_1 [31]

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

5 0
3 years ago
Chicos estoy en un aprieto ayudarme pls Sabiendo que una falda es 5 € más cara que una blusa y que si compro 6 faldas y 4 blusas
poizon [28]

Answer:

El precio de la falda es 50 €.

Step-by-step explanation:

Lo que sabemos:

F = 5 + B   (1)

En donde F es por falda y B por blusa.

Si compras 6 faldas y 4 blusas y pagas 480 €:

6F + 4B = 480  (2)

Entonces, al introducir la ecuación (1) en (2) podemos hallar el precio de cada falda.

6F + 4B = 480

6(5 + B) + 4B = 480

10B = 480 - 30

B = \frac{450}{10} = 45  

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

F = 5 + 45 = 50

Por lo tanto, el precio de la falda es 50 €.  

Espero que te sea de utilidad!      

7 0
2 years ago
What is cpctc........................
I am Lyosha [343]
Corresponding Parts of Congruent Triangles are Congruent
meaning that the same parts of triangles that are congruent will also be congruent
6 0
3 years ago
Read 2 more answers
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