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4 years ago

Consider the two triangles.

Mathematics

1 answer:

Hitman42 [59]4 years ago

8 0

I believe that the answer is number three.

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Help<br> Solve the following exponential equation for x. Show your work step by step.

muminat

Given:

The equation

$5^{x+7}=(\frac{1}{625})^{2x-13}$

Answer:

$x=5$

Step-by-step explanation:

To simplify the given expression, we use the Laws of Exponents; that is, when the bases are the same in two sides of the equation, the exponents can be equated.

So, we begin by expressing 625 on the right hand side as a power of 5 which is the same base as on the left hand side.

Then, we equate the exponents and simplify for x as we usually do.

The following is the solution.

We know

$625=5^{4}\\\\$

and

$\frac{1}{625}=5^{-4}\\\\$

So,

$5^{x+7}=(\frac{1}{625})^{2x-13}\\\\5^{x+7}=(\frac{1}{625})^{2x-13}=(5^{-4})^{2x-13}=5^{-8x+52}\\\\$

We now equate the exponents on both sides as solve for x like we would normally do

$x+7=-8x+52\\\\9x=45\\\\x=5$

7 0

3 years ago

Who ever answer first get brainiest

valentinak56 [21]

Hello! There are 3 bars of soap and 2 toothbrushes in each package.

Explanation: Divide the number 36 by 12 to get the bar of soaps for each package then divide 24 by 12 to get the amount of toothbrushes in each package. Each individual package contains 3 bars of soap and 2 toothbrushes.

Hope this helped and have a great day!! ^o^

4 0

3 years ago

Evan has a loyalty card good for a discount at his local hardware store. The item he

Eva8 [605]

Answer:

14-11.76 = 2.24

2.24×100

14 = 16%

since, the discount percentage is 16%

4 0

3 years ago

In triangle ABC and triangle XYZ , if angle A and angle B are acute angles such that cos A = cos X then show that angle A = angl

just olya [345]

6x3=18-3=15 Hope it helps.

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3 years ago

Jacob signs up to work for 2 1/2 hours at school carnival. if each work shift is 3/4 hours how many shifts will Jacob work

Allushta [10]

I believe he will work about 3 shifts. The answer I got was 3 1/4 shifts to get exactly 2.5 hours.

6 0

3 years ago