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riadik2000 [5.3K]
2 years ago
11

Find the scale factor of the similar shapes below.

Mathematics
1 answer:
timofeeve [1]2 years ago
5 0

Answer:

x=12 and the scale factor is 1.5

Step-by-step explanation:

From D' to F' is 7.5 and from D to F is 5cm the difference is 2.5. From F' to E' is x and from F to E is 8. This is just understanding what you can see. You find x by figuring out the ratio from 5 to 7.5 is and 8 to x or vise versa.  It depends which way you are going. I think you are going from E,D,F to E',D',F'. So from 5cm to 7.5 cm. This is 1.5 because you are dividing 7.5/5. If you needed to find x, it would be 12.

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Which of these is an example of a literal equation?
RSB [31]

<u>ANSWER</u>

ax-by=k is an example of literal equation.

<u>EXPLANATION</u>

A literal equation is an equation in which letters or variables are used to represent real values.

A literal equation consists of at least two letters or variables.

The first option consists of two variables but it is not an equation. It is just an expression.


The second option is not a literal equation because it consists of only one variable. This is  just a linear equation in one variable. But a literal equation should have at least two variables or letters.

As for the third option, it does not even contain a variable or letter.

5 0
3 years ago
Read 2 more answers
A directed line segment begins at F(-8, -2), ends at H(8, 6), and is divided in the ratio 8 to 2 by G. What are the coordinates
I am Lyosha [343]

Given:

A directed line segment begins at F(-8, -2), ends at H(8, 6), and is divided in the ratio 8 to 2 by G.

To find:

The coordinates of point G.

Solution:

Section formula: If a point divide a line segment with end points (x_1,y_1) and (x_2,y_2) in m:n, then the coordinates of that point are

Point=\left(\dfrac{mx_2+nx_1}{m+n},\dfrac{my_2+ny_1}{m+n}\right)

Point G divide the line segment FH in 8:2. Using section formula, we get

G=\left(\dfrac{8(8)+2(-8)}{8+2},\dfrac{8(6)+2(-2)}{8+2}\right)

G=\left(\dfrac{64-16}{10},\dfrac{48-4}{10}\right)

G=\left(\dfrac{48}{10},\dfrac{44}{10}\right)

G=\left(4.8,4.4\right)

Therefore, the coordinates of point G are (4.8, 4.4).

4 0
2 years ago
At Dave's diner, 2 sandwiches and 2 drinks cost $12. You can buy 5 drinks for the cost of one sandwich.
hram777 [196]
If you’re asking for the cost of the drink, the drink would be $1. This is because 2 sandwiches would cost $10 and that means 1 sandwich would make it $5. If 2 sandwiches cost $10, the remaining $2 in the $12 dollars would be the drinks. 2 drinks for $2 would make 1 drink for $1. So the cost of 5 drinks is $5 or $1 per drink.

If confused, don’t be shy to ask :)
8 0
3 years ago
Judy is selling small candles at the fair for $4 each and large candles for $6 each. She collected $144 selling a total of 28 ca
Pepsi [2]

Answer:

Number of small candles = 12

Number of large candles = 16

Step-by-step explanation:

Total candles = 28

x + y = 28 ---------------(I)

Cost of 'x' small candles = 4 *x = 4x

Cost of 'y' large candles = 6 *y = 6y

Total amount = $144

4x + 6y = 144 -------------(II)

Multiply equation (I) by (-4) and then add the equation. So, x will be eliminated and we can find the value of 'y'

(I) * (-4)            -4x - 4y = -112

(II)                  <u>  4x  + 6y = 144</u>              {Now, add}

                               2y = 32

                                y = 32/2

y = 16

Plug in y = 16 in equation (I)

x + 16 = 28

       x = 28 - 16

x = 12

4 0
2 years ago
Read 2 more answers
A collection of 108 coins containing only quarters and nickels is worth $21.
Rudiy27

Answer:

The value could replace q is 108 - n ⇒ the last answer

Step-by-step explanation:

* Lets study the values of quarters and nickles

- One quarter = 25 cents

- One nickle = 5 cents

- The number of coins is 108

- The coins are nickles or quarters only

- The coins worth $ 21

* Lets solve the problem

∵ The number of coins is 108 coins

- Let the quarter is q and the nickel is n

∴ q + n = 108 ⇒ (1)

∵ The coins worth $21

∵ $ 1 = 100 cents

∴ $21 = 21 × 100 = 2100 cents

∵ The quarter = 25 cents

∵ The nickels = 5 cents

∴ 25q + 5n = 2100 ⇒ (2)

- To find the value which replace q use equation (1)

∵ q + n = 108 ⇒ subtract n from both sides

∴ q = 108 - n

* The value could replace q is 108 - n

3 0
3 years ago
Read 2 more answers
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