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solniwko [45]
3 years ago
11

Vvv Please help vvv Find the value of x.

Mathematics
1 answer:
LenKa [72]3 years ago
7 0
X=15. This is the Altitude theorem which is Altitude/Part = Altitude/Other part. In this question you would set up the proportion 9/X = X/25 and multiply cross products to get 225=X^2. Then you undo X^2 by doing the square route of 225 and then you get 15 as the final answer.
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Simplify the following expressions. Write your answers as a power. Complete problems 1 through 6.
sertanlavr [38]

The expression is given to be:

\frac{5^4\cdot5^2}{5^3}

Recall the multiplication rule of exponent given to be:

x^a\cdot x^b=x^{a+b}

Therefore, we can simplify the numerator to be:

5^4\cdot5^2=5^{4+2}=5^6

Hence, the expression becomes:

\Rightarrow\frac{5^6}{5^3}

Recall the division rule of exponent given to be:

\frac{x^a}{x^b}=x^{a-b}

Therefore, the expression becomes:

\frac{5^6}{5^3}=5^{6-3}=5^3

Evaluating the answer, we have:

5^3=125

Therefore, the answer is:

\frac{5^4\cdot5^2}{5^3}=125

3 0
1 year ago
The area of a rectangle is 32a^3b^4 square units. The length is 4a^2b. Find the width. show your work
kaheart [24]

Answer:

The answer to your question is width = 8ab³

Step-by-step explanation:

Data

Area = 32a³b⁴ u²

length = 4a²b   u

Formula

Area of a rectangle = width x length

Solve for width

                           width = \frac{Area}{length}

Substitution

                          width = \frac{32a^{3}b^{4}}{4a^{2}b}

Simplify using rules of exponents, just remember that in a division we subtract the exponents and divide the coefficients normally.

                          width = 8 a²b³

7 0
3 years ago
Read 2 more answers
Complete the following direct proof. 1) Triangles are the only polygons with three sides. 2) The polygon has three sides. 3)____
oksano4ka [1.4K]
<span>Complete the following direct proof.
1) Triangles are the only polygons with three sides.
 2) The polygon has three sides.
3) Thus, triangles are polygons.

</span>
4 0
4 years ago
Simplify the fraction
Leto [7]

Answer:

7/9

<em />

<em>Hope this helps!</em>

<em> Have a good day :)</em>

8 0
1 year ago
Read 2 more answers
Help i dont understand how to multiply fractions
Nataly_w [17]
Just multiply the tops together and the bottoms together :)
5 0
3 years ago
Read 2 more answers
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