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3 years ago

Helpppp please ?????

Mathematics

1 answer:

BlackZzzverrR [31]3 years ago

8 0

A) <DAE = 180-126 = 54
b) <EBC = 90 - 48 = 42
c) <BAE = 180-48-54=78

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Fudgin [204]

you should add more detail to your question but you can set up a proportion

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3 years ago

I am thinking of a number. If you multiply my number by 4, add -4 to the product, and then take 1/3 of the sum, the result is -6

gregori [183]

Answer:

-3.5??

Step-by-step explanation:

Work backwards :)

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3 years ago

: Which equations have an infinite number of solutions? Select all that apply. A -2(x - 2) + 3x = x - 4 B 2x + 4(x - 1) = 3(2x +

MissTica

Option C and Option D

3x + 2(x - 2) + 6 = 2(2x + 3) + x - 4 has infinite number of solutions

4(x + 2) + x + 1 = 2x - 3 + 3(x + 4) has infinite number of solutions

<h3><u>Solution:</u></h3>

Given that we have to find the equations that has infinite number of solutions

If we end up with the same term on both sides of the equal sign, such as 4 = 4 or 4x = 4x, then we have infinite solutions.

If we end up with different numbers on either side of the equal sign, as in 4 = 5, then we have no solutions.

<h3><u>Option A</u></h3>

-2(x - 2) + 3x = x - 4

Multiply the terms inside the bracket

-2x + 4 + 3x = x - 4

x + 4 = x - 4

Thus this equation does not have infinite number of solutions

<h3><u>Option B</u></h3>

2x + 4(x - 1) = 3(2x + 1) - 2(x - 1)

2x + 4x - 4 = 6x + 3 - 2x + 2

6x - 4 = 4x + 5

6x - 4x = 5 + 4

2x = 9

$x = \frac{9}{2}$

Thus this equation has only one solution.

Thus this equation does not have infinite number of solutions

<h3><u>Option C</u></h3>

3x + 2(x - 2) + 6 = 2(2x + 3) + x - 4

3x + 2x - 4 + 6 = 4x + 6 + x - 4

5x + 2 = 5x + 2

Thus this equation has infinite number of solutions

<h3><u>Option D</u></h3>

4(x + 2) + x + 1 = 2x - 3 + 3(x + 4)

4x + 8 + x + 1 = 2x - 3 + 3x + 12

5x + 9 = 5x + 9

Thus this equation has infinite number of solutions

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4 years ago

Applying Inverse Properties In Exercise,apply the inverse properties of logarithmic and exponential functions to simplify the ex

alex41 [277]

Answer:

2x - 1

Step-by-step explanation:

Since logarithm has the following property:

If $f(x)=b^x$ and $g(x)=\log_bx$ ,

Then $fog=b^{\log_bx}=x$ and $gof=\log_bbx=x$

Therefore,

$- 1 + \ln e^{2x} = - 1 + \log_e e^{2x} = 2x-1$

6 0

3 years ago

The battery on McKenzies old computer can last 4(1/5) hours. She bought a new computer that has a battery that can last 40% long

Solnce55 [7]

Answer:

$5\frac{22}{25}\ hours$

Step-by-step explanation:

we know that

$4\frac{1}{5}\ hours=\frac{4*5+1}{5}=\frac{21}{5}\ hours$

$100\%+40\%=140\%=\frac{140}{100}$

Let

x ------> new battery life

The equation that represent this situation is

$x=\frac{140}{100} (\frac{21}{5})=\frac{2,940}{500}\ hours$

convert to mixed number

$\frac{2,940}{500}=\frac{2,500}{500}+\frac{440}{500}=5\frac{22}{25}\ hours$

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3 years ago