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3 years ago

Please help I have been stuck on these two for two days now!!!

Mathematics

1 answer:

postnew [5]3 years ago

8 0

First of all you should demand your teachers stop teaching you algebra in geometry class.

Linear pairs (and this is the geometry part) are angles that add to 180 degrees, supplementary angles formed by two lines crossing.

3n + 21 + 2n + 34 = 180

5n + 55 = 180

5n = 125

n = 25

mEFG = 3n + 21 = 96 degrees

mCFH = 2n + 34 = 84 degrees

These are indeed supplements, adding to 180 degrees.

ACD is a right angle because it makes a linear pair along DF with another right angle.

mACB + mBCD = 90 degrees

mBCD = 90 - mACB = 90 - 68

mBCD = 22 degrees

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A rectangular prism is 10 inches tall, 7 inches wide, and 3 inches long. What is the volume of the prism?

zzz [600]

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Step-by-step explanation:

Length=3

Width=7

Height=10

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3 years ago

Yara multiplies and divides a certain number by the same

Butoxors [25]

For this case we have to:

x: Represents the unknown number

y: Represents the exponent of base 10

So, considering a system of equations we have:

$x * 10 ^ y = 40,000\\\frac {x} {10 ^ y} = 0.000004$

From the first equation we have:

$10 ^ y = \frac {40,000} {x}$

Substituting in the second equation:

$\frac {x} {\frac {40,000} {x}} = 0.000004\\\frac {x ^ 2} {40,000} = 0.000004\\x ^ 2 = 40,000 * 0.000004\\x ^ 2 = 0.16\\x = \pm \sqrt {0.16}$

We choose the positive value:

$x = 0.4$

So, the number is 0.4.

So:

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Thus, the exponent is 5.

Answer:

Yara use 0.4 and $10 ^ 5$

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3 years ago

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Step-by-step explanation:

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3 years ago

Find three prime numbers that add up to another prime number.

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3 years ago

Read 2 more answers

The sum of two numbers is 46. The larger number is two less than three times the smaller number. Find the numbers.

melamori03 [73]

Answer: The numbers are: <u>x = 34, y = 12</u>

Step-by-step explanation:

Lets say the numbers are x and y. The two equations are:

x+y=46

x= 3y-2

Next you use substitution for x in the first equation which brings you to

3y-2 + y = 46 which simplyfies to:

4y - 2 = 46

4y = 48

48 / 4 = 12

y = 12

Then you plug back y=12 in either of the equation to solve for x:

x = 3y - 2

x = 3(12) - 2 = 36 - 2 = 34

x = 34, y = 12

8 0

3 years ago