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Kaylis [27]
2 years ago
13

Find ∠BCD A)60 B)20 C)80 D)120

Mathematics
1 answer:
liq [111]2 years ago
3 0

Answer:

  • We know : The exterior angle is equal to the sum of two non-adjacent interior amhles. Set up an equation and solve for x :

\longrightarrow \tt5x + 10 = 3x + 3x

\longrightarrow \tt \: 5x  + 10= 6x

\longrightarrow \tt10 = 6x - 5x

\longrightarrow \tt \: 10 = x

Replacing value :

✯\tt m \:  \angle \: \: BCD = 5 \times 10 + 10 =  \boxed{ \tt{60}}

  • Our Final answer is 60 .

-------------- HappY LearninG <3 -------

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Answer:

  22

Step-by-step explanation:

The number of Monster High dolls is ...

  12% × 25 = 3 . . . dolls

The others are not Monster High dolls. Their number is ...

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4 0
3 years ago
A person borrows $10,000 and repays the loan at the rate of $2,400 per year. The lender charges interest of 10% per year. Assumi
omeli [17]

Answer:

a) M(t)=24000-14000e^{t/10}

b) It takes 5.390 years to pay off the loan.

Step-by-step explanation:

(a) The differential equation for the variation in the amount of the loan M is

\frac{dM}{dt}=0.1M-2400

We can express this equation as:

\frac{dM}{dt}=0.1M-2400\\\\10\int \frac{dM}{M-24000} =\int dt\\\\10ln(M-24000)=t\\\\M-24000=Ce^{t/10}\\\\M=Ce^{t/10}+24000\\\\M(0)=Ce^{0/10}+24000=10000\\\\C+24000=10000\\\\C=-14000\\\\M(t)=24000-14000e^{t/10}

(b) We can calculate this as M(t)=0

M(t)=24000-14000e^{t/10}=0\\\\e^{t/10}=24000/14000=1.714\\\\t=10ln(1.714)=10* 0.5390=5.390

It takes 5.390 years to pay off the loan.

8 0
3 years ago
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Answer:

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Step-by-step explanation:

First, convert 150 minutes to hours:

150/60

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Then, to find his speed, divide the km by the number of hours:

25/2.5

= 10 km/h

6 0
3 years ago
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