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kicyunya [14]
2 years ago
9

I need to find what m

Mathematics
2 answers:
Vadim26 [7]2 years ago
6 0

Answer:

72

Step-by-step explanation:

drek231 [11]2 years ago
3 0

Answer:

66°

Step-by-step explanation:

Because the two angles are vertical, this means they are opposite each other ergo they are the same size.

This means we can write the question like:

m∠A = m∠B

8x + 14 = 2x + 50

Step 1 - Subtract 14 from each side:

8x + 14 - 14 = 2x + 50 - 14

8x = 2x + 36

Step 2 - Subtract 2x from each side:

8x - 2x = 2x + 36 - 2x

6x = 36

Step 3 - Divide both sides of the equation by 6:

\frac{6x}{6} = \frac{36}{6}

Which simplifies to:

x = 6

m∠B = 2x + 50 so substitute in the solved x:

2(6) + 50 = 66

So m∠B = 66°

Hope this helps!

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A store had 150 laptops in the month of January. Every month, 20% of the laptops were sold and 10 new laptops were stocked in th
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<u>Answer-</u>

\boxed{\boxed{f(n)=0.8(f(n-1))+10,\ f(0)=150,\ \ n>0}}

<u>Solution-</u>

Here, n represents the number of months and f(n) represents the number of laptops in the store after n months.

As the store had 150 laptops in the month of January or at the beginning.

So f(0)=150

Every month, 20% of the laptops were sold and 10 new laptops were stocked in the store.

As 20% of laptops were sold, so 80% were in the store.

So, after one month total number of laptops in the store,

\Rightarrow f(1)=0.8(150)+10

\Rightarrow f(1)=0.8(f(0))+10     (\because f(0)=150)

Again after one month total number of laptops in the store,

\Rightarrow f(2)=0.8\times (0.8(150)+10)+10

\Rightarrow f(2)=0.8(f(1))+10     (\because f(1)=0.8(150)+10)

Analyzing the pattern, the recursive function f(n) will be,

f(n)=0.8(f(n-1))+10,\ f(0)=150,\ \ n>0


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