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tiny-mole [99]
3 years ago
13

Find the measure of angle K.

Mathematics
1 answer:
BabaBlast [244]3 years ago
7 0
Every triangle have three angles that add up to 180°. With this information, we can find out the missing angle.

The sum of three angles should add up to 180°. 

148° + 11° + K = 180°

Where k is the missing angle.

Solve for K.

Combine like terms.

148° + 11° + K = 180°
159° + K = 180°

Subtract both sides by 159°.

159° + K = 180°
159° - 159° + K = 180° - 159°
K = 21°

So, the missing length is 21°.
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Help, please and thanks!
azamat
B.
X-17=-5
Add 17 to both sides

-5+17=12
7 0
3 years ago
Sum of series to n terms 0.4+0.44+0.444+....
svetoff [14.1K]
0.4+0.44+0.444+\cdots=\dfrac4{10}+\dfrac{44}{100}+\dfrac{444}{1000}+\cdots=\displaystyle\sum_{k=1}^\infty\frac{\frac49(10^k-1)}{10^k}=\frac49\sum_{k=1}^\infty\left(1-\frac1{10^k}\right)

The nth partial sum is given by

S_n=\displaystyle\frac49\sum_{k=1}^n\left(1-\frac1{10^k}\right)
S_n\displaystyle=\frac49\bigg(\left(1-\frac1{10}\right)+\left(1-\frac1{100}\right)+\cdots+\left(1-\frac1{10^{n-1}}\right)+\left(1-\frac1{10^n}\right)\bigg)
S_n=\dfrac49\left(n-\dfrac{10^n-1}{9\times10^n}\right)=\dfrac4{81}(9n-1+10^{-n})

from which it follows that the infinite sum does not converge.
8 0
3 years ago
5. Which of the following sets of fractions is arranged in order from LEAST to GREATEST?
SCORPION-xisa [38]

Answer:

\{\frac{1}{8},\frac{1}{4},\frac{1}{2}\}

Step-by-step explanation:

Required

Which is ordered in ascending order

To do this, it is best to convert the fractions to decimal and then make comparison.

From the options, only (b) is ordered in ascending order and the proof is as follows.

\{\frac{1}{8},\frac{1}{4},\frac{1}{2}\}

Convert to decimals

\{0.125, 0.25, 0.5\}

By comparison:

0.125< 0.25< 0.5

Hence, (b) is ordered from least to greatest

3 0
3 years ago
Which terms could have a greatest common factor of 5m2n2? Check all that apply.
leva [86]

Answer : 5m^4n^3  and 15m^2n^2

Greatest common factor of  5m^2n^2

If we are able to factor out 5m^2n^2 from each option then that would be our answer.

Lets check with each options

(a)m^5n^5, we cannot take out 5.

(b)5m^4n^3, We can take out common factor and it can be written as 5m^4n^3=5m^2n^2(m^2n)

(c) 10m^4n, we cannot take out n^2 because we have only 'n'

(d) 15m^2n^2, We can take out common factor and it can be written as 15m^2n^2=5m^2n^2(3)

(e) 24m^3n^4, we  cannot take out 5 because we have 24

So answer is (b)  and (d)

4 0
3 years ago
Read 2 more answers
En una microempresa se alcanzó la meta de venta y el dueño decidió pagar 50 dólares más de la base salarial a cada trabajador. P
Alex Ar [27]

Answer:

La base salarial de cada trabajador es de $ 425

Step-by-step explanation:

Aquí queremos calcular la base salarial de cada trabajador

Antes del incremento, sea la base salarial $ x

Entonces, sin el incremento, lo que ganarán los 3 es x + x + x = 3x

Con el incremento, cada uno ganará 3 (x + 50)

Esto es lo que es igual a 1425 Así; 3 (x + 50) = 1425

x + 50 = 1425/3

x + 50 = 475

x = 475 - 50

x = 425

7 0
3 years ago
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