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2 years ago

SOMEONE PLEASE HELP!!

Mathematics

1 answer:

Mazyrski [523]2 years ago

4 0

Answer:

x = 18

Step-by-step explanation:

the sum of any exterior angle is equal to the sum of any two interior angles

3x-11 + 5x+14 = 9x-15

8x + 3 = 9x - 15

3 = x - 15

x = 18

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Solve the math problem

zalisa [80]

Answer:

$\frac{4w {}^{8} }{9m {}^{4} }$

Step-by-step explanation:

separate with like terms

$\frac{4}{9} , \: \frac{w {}^{9} }{w} \: and \: \: \frac{m {}^{5} }{m {}^{9} }$

the first fraction can be left alone as it can't be simplified any further

the second fraction can be written as w⁹ ÷ w¹ , when the bases are the same and division is involved subtract the powers: 9 - 1 = 8, so it's simplified to w⁸

the third fraction can be written as m⁵ ÷ m⁹, subtract the powers: 5 - 9 = -4, so it's simplified to m⁻⁴

${m}^{ - 4} = \frac{1}{m {}^{4} }$

putting it together:

$\frac{4w {}^{8} }{9m {}^{4} }$

4 0

1 year ago

The sum of a number and its square is 182. Find the number.

Mars2501 [29]

Answer:

13 and -14 satisfy this condition

Step-by-step explanation:

Let's represent that number as x

and the square of x is x^2

So,

x + x^2 = 182

Subtract 182 from both sides

x + x^2 - 182 = 182 - 182

x + x^2 - 182 = 0

rearrange the quadratic equation

x^2 + x -182 = 0

let's use the quadratic formula

$\frac{-b+\sqrt{b^2-4ac} }{2a}$ or $\frac{-b-\sqrt{b^2-4ac} }{2a}$

a = 1, b = 1, c = -182

$\frac{-1+\sqrt{1^2-4*1*(-182)} }{2*1}$ or $\frac{-1-\sqrt{1^2-4*1*(-182)} }{2*1}$

$\frac{-1+\sqrt{1+728} }{2}$ or $\frac{-1-\sqrt{1+728} }{2}$

$\frac{-1+\sqrt{729} }{2}$ or $\frac{-1-\sqrt{729} }{2}$

$\frac{-1+{27} }{2}$ or $\frac{-1-{27} }{2}$

$\frac{26}{2}$ or $\frac{-28}{2}$

13 or - 14

Lets check

13 + 13^2 = 13 + 169

= 182

Also,

-14 + (-14^2) = -14 + 196

= 182

8 0

2 years ago

The number 20 is less than the diffence of 4 times 8

valina [46]

Answer:

Step-by-step explanation:

4 times 8 =32, 32 - 20= 12

8 0

2 years ago

kherson [118]

Answer:

The answer would be A/B=H

Step-by-step explanation:

To get rid of the B that is connected to the H, you would do the opposite of what they used. Meaning since the two were multiplied you would divide them. So, you would take your b and divide it on both sides of the equal sign. B and B cancels each other out so you are left with A/B which equals H.

7 0

2 years ago

Tom has already baked 4 cakes, and he can bake 1 cake with each additional stick of butter he buys. How many additional sticks o

Serjik [45]

Answer:

since it takes 1 additional stick to bake a cake,then it takes 84 additional sticks to bake 42 cakes

3 0

2 years ago