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3 years ago

Can you please tell the value of x? Thx

Mathematics

2 answers:

AleksandrR [38]3 years ago

6 0

External angle is equal to the sum of the other 2 internal angles

2x=x-5+63
minus x from both sides
x=-5+63
x=58

x=58°

Ksju [112]3 years ago

5 0

An exterior angle is equal to the sum of two opposite interior angles.
So,
2x = 63 + x - 5
2x - x = 63-5
x = 58
Hence, the value of x is 58°.

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3 years ago

Find a ratio equivalent to 12/21 with lower terms

dmitriy555 [2]

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3 years ago

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sveta [45]

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3 years ago

a person invest in 9000 in a bank. the bank pays 5% interest compounded semi annually. to the nearest tenth of a year, how long

QveST [7]

Answer:

10.1 years.

Step-by-step explanation:

It is given that,

Principal = 9000

Rate of interest = 5%

No. of times interest compounded = 2 times in an year

Amount after certain time = 14800

The formula for amount:

$A=P(1+\frac{r}{n})^{nt}$

where, P is principal, r is rate of interest, n is no. of times interest compounded in an year and t is time in years.

Substitute the given values in the above formula.

$14800=9000(1+\frac{0.05}{2})^{2t}$

$\frac{14800}{9000}=(1+0.025)^{2t}$

$1.644=(1.025)^{2t}$

Taking log both sides.

$\log(1.644)=\log(1.025)^{2t}$

$\log(1.644)=2t\log(1.025)$ $[\because \log a^b=b\log a]$

$\frac{\log(1.644)}{2\log(1.025)}=t$

$t=10.066$

$t=10.1$

Therefore, the required time is 10.1 years.

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3 years ago

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Marta_Voda [28]

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1 year ago