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geniusboy [140]
3 years ago
15

2^m ÷ 2^ -4 = 4^5 pls help

Mathematics
1 answer:
kvv77 [185]3 years ago
4 0

Answer:

m = 6

Step-by-step explanation:

\frac{a^{m}}{a^{-n}}=a^{m+n}\\\\

2^m ÷ 2^ -4 = 4^5

\frac{2^{m}}{2^{-4}}=(2^{2})^{5}\\\\\\2^{m+4} = 2^{2*5}\\\\2^{m+4} = 2^{10}

Compare the powers,

m + 4 = 10

       m = 10 - 4

       m = 6

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Find the measures of all of the angles.
irga5000 [103]

Answer:

a:

1. ABC = 60°

2. BCA = 90°

3. CAB = 30°

b:

XVR = WVS = 125°

RVS = 55°

RST = VSU = 110°

RSV = UST= 70°

TUS = 39°

Step-by-step explanation:

a:

According this is a Right Triangle ( BCA = 90°) and the sum angles of a triangle is 180° :

90+5x+9x+6=180

14x=84

x=6

Then we have : ABC = 9(6)+6 =60

CBA = 5(6)=30

b :

Given that the size of the opposite angles to a vertex are equal and the sum of the interior angles of a triangle is 180 degrees, the size of all angles can be easily found.

8 0
2 years ago
Solve for x. Round to the nearest tenth, if necessary.
pychu [463]

Answer:

x = 14

Step-by-step explanation.

First I would use sine to find x's value. So ----> sin(30) = 7/x ----> x sin(30) = 7 ----> x = 7/sin(30) = 14.

You Can also find that x is equal to 14 by applying the 30, 60, 90, triangle rule. Becuase '7' opposes the 30 degree angle it is 1/2 the hypotenuse, if thats the case just multiply the 7 by 2 and you have the hypotenuse length.

3 0
2 years ago
A store pays $24 for a jewelry box and marks the price up by 20%. What is the amount of
Ratling [72]

Answer:

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Step-by-step explanation:

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7 0
3 years ago
What is the supplementary angle to an angle that has 112 degrees?
olga55 [171]
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How many social security numbers are available if the only restriction is that the number 000-00-0000 cannot be assigned?
harkovskaia [24]
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10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 =  1,000,000,000 ( 1 billion) possibilities.
 
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 1,000,000,000 - 1 = 999,999,999 combinations



3 0
3 years ago
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