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NeX [460]
2 years ago
11

Find the value of x in the image below.

Mathematics
1 answer:
blagie [28]2 years ago
5 0

Answer:

x= 5

Step-by-step explanation:

Using the Side Splitter Theorem, we will make a proportion using the values given:

Afterwards, you can check to see that 20/10 is equal to 44/22.

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Last month in the village of 125 people we’re issued a parking ticket. This month only 83 people were issued one. What was the p
natita [175]

Answer:

the percent reduction is <u>33.6%</u> and the number of people who were issued a parking ticket are <u>42</u>.

Step-by-step explanation:

Given:

Last month in the village of 125 people were issued a parking ticket.

This month only 83 people were issued one.

Now, to find the percent reduction from this month to last month and the number of people who were issued a Parking ticket.

So, the reduction of the number of people who were issued a Parking ticket from this month to last month are:

125 people - 83 people = 42 people.

Thus, 42 people reduction from this month to last month.

Now, to get the percent reduction:

\frac{42}{125}\times 100.

=\frac{4200}{125}

=\ 33.6\%

Therefore, the percent reduction is 33.6% and the number of people who were issued a parking ticket are 42.

7 0
3 years ago
Factor -24a3b3c3 - 84a4b2c.
sammy [17]

Answer:

-12a³b²c ( 2bc² + 7a)

Step-by-step explanation:

To factorize, we must separate the highest common factors between the products that make up the given expression. To get the highest common factor between the two products,

-24a3b3c3 = -2 * 2 *2 * 3 * a³ *b² *b * c² * c

- 84a4b2c = -2 * 2 *3 * 7 * a³ * a *b² * c

The common elements are  -2, 2, 3, a³, b², c

The product of the common elements

= -12a³b²c

Hence, factorizing

-24a3b3c3 - 84a4b2c = -12a³b²c ( 2bc² + 7a)

4 0
3 years ago
Read 2 more answers
the state sales tax in pennsylvania is 0.06 (or 6%). if your total bill at the music store included $3.03 in sales tax, how much
Sedbober [7]
The answer is: 50.5

Solution:

3.03 x 100 = 303
303 ÷ 6 = 50.5
3 0
3 years ago
The price of a pair of jeans was $60 after a 50% markup. What was the price of the jeans before the markup?
zhenek [66]

Answer:

40

Step-by-step explanation:

We have an original price p

We mark them up by 50%

p + p*50%

Changing to decimal form

p+.50p = 1.5p

The new price is 60 dollars

1.5p = 60

Divide each side by 1.5

1.5p/1.5 = 60/1.5

p =40

The original price is 40

5 0
3 years ago
Read 2 more answers
Find an equation, or a set of equations, to describe the set of points that are equidistant from the points p(−9, 0, 0) and q(3,
wariber [46]
X = -3.  
The distance from p(-9, 0, 0) is
 d = sqrt((x+9)^2 + y^2 + z^2) 
 The distance from q(3,0,0) is
 d = sqrt((x-3)^2 + y^2 + z^2) 
 Let's set them equal to each other.
 sqrt((x+9)^2 + y^2 + z^2) = sqrt((x-3)^2 + y^2 + z^2)
  Square both sides, then simplify
 (x+9)^2 + y^2 + z^2 = (x-3)^2 + y^2 + z^2
 x^2 + 18x + 81 + y^2 + z^2 = x^2 - 6x + 9 + y^2 + z^2
 18x + 81 = - 6x + 9
 24x + 81 = 9
 24x = -72
 x = -3 
 So the desired equation is x = -3 which defines a plane.
7 0
3 years ago
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