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3 years ago

14

. Tommy is drawing a triangle with angles measuring 41° and 123°, and the included side measures 6 cm. What is the measure of th

e third angle of the triangle?

1 answer:

Scilla [17]3 years ago

4 0

The third angle is 16 degrees because you just add 41 and 123 together then minus that answer from 180 degrees to get the answer 16 degrees

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(−5)3x7(yz)4 / (3)2x2y8z2

g100num [7]

Answer:

$\dfrac{(-5)3x^7(yz)^4}{(3)2x^2y^8z^2}=\dfrac{-5x^5z^2}{2y^4}$

Step-by-step explanation:

Given:

The expression to simplify is given as:

$\frac{(-5)3x^7(yz)^4}{(3)2x^2y^8z^2}$

In order to simplify this, we have to use the law of indices.

1. $(ab)^m=a^mb^m$

So, $(yz)^4=y^4z^4$

Substitute this value in the above expression. This gives,

$=\dfrac{(-5)3x^7y^4z^4}{(3)2x^2y^8z^2}\\\\\\=\dfrac{-15x^7y^4z^4}{6x^2y^8z^2}......(-5\times 3=15\ and\ 3\times 2=6)$

Now, we use another law of indices.

2. $\frac{a^m}{a^n}=a^{m-n}$

So, $\frac{x^7}{x^2}=x^{7-2}=x^5,\frac{y^4}{y^8}=y^{4-8}=y^{-4}, \frac{z^4}{z^2}=z^{4-2}=z^2$

Substitute these values in the above expression. This gives,

$=\frac{-15}{6}\times x^5\times y^{-4}\times z^2\\\\=\frac{-5x^5y^{-4}z^2}{2}$

Finally, we further simplify it using the law $a^{-m}=\frac{1}{a^m}$

So, $y^{-4}=\frac{1}{y^4}$

Therefore, the given expression is simplified as:

$\dfrac{(-5)3x^7(yz)^4}{(3)2x^2y^8z^2}=\dfrac{-5x^5z^2}{2y^4}$

5 0

2 years ago

While driving past stores, Tatum counted the number of cars in the parking lots.

Vlad [161]

Answer:

9

Step-by-step explanation:

1, 3, 5, 9, 15, 19, 19

7 0

3 years ago

Read 2 more answers

Solve the unknown variable

dsp73

Set measurements equal to each other.
7X + 20 = 8X + 8
-7X -7X

20 = X + 8
-8 -8

ANSWER: X=12

5 0

2 years ago

Salem has 150 cookies to sell. Each cookie is one of four types. . 1/6 of cookies are oatmeal raisin. . 1/4 of cookies are sugar

ValentinkaMS [17]

Answer: 22 double chocolate cookies

Step-by-step explanation:

25 oatmeal raisin

38 sugar cookie

65 chocolate chip

22 double chocolate

6 0

3 years ago

What is the value of x in the equation (x + 12) = (x + 14) – 3?

vodomira [7]

(x + 12) = (x + 14) - 3

subtract 12 from each side

x = x + 14 - 3 - 12

Now if we subtract x from each side we see that x - x = 0. Combine the terms left over and we have -1, so

0 = -1

The answer is NO SOLUTION

6 0

3 years ago

Read 2 more answers