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scoray [572]
4 years ago
6

In this diagram, ABAC – AEDF. If the

Mathematics
1 answer:
Evgesh-ka [11]4 years ago
5 0

Answer:

Area = 4.5 in.²

Step-by-step explanation:

Area of ∆BAC = 8 in.²

EF = 3 in.

BC = 4 in.

Since both triangles are similar, therefore,

Area of ∆BAC : Area of ∆EDF = BC² : EF²

Plug in the values into the equation

8/area of ∆EDF = 4²/3²

Area of ∆EDF = (8*3²)/4²

= 4.5 in²

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Let x represent the regular price of any book in the store. Write an expression that can be used to find the sale price of any b
arsen [322]

Answer:

(a) The sale price of any book in the store is 0.70 <em>x</em>.

(b) The regular price of the book bought by Jerome was $12.80.

Step-by-step explanation:

The complete question is:

All books in a store are being discounted by 30%.  Let x represent the regular price of any book in the store. (a) Write an expression that can be used to find the sale price of any book in the store. (b) Jerome bought a book on sale at the store. The sale price of the book was $8.96. Write an equation to determine the regular price of the book Solve your equation to find the regular price of Jerome's book to the nearest cent.

Solution:

The regular price of any book in the store is denoted by, <em>x</em>.

(a)

The discount percentage is: <em>d</em>% = 30%.

The sales price of the book is:

Sales Price = Regular Price - Discount

            SP =x-(x\times 30\%)

                  =x-0.30x\\=0.70x

Thus, the sale price of any book in the store is 0.70 <em>x</em>.

(b)

The sales price f book bought by Jerome is, SP = $8.96.

Jerome bought the book at the same discount, i.e. 30%.

Compute the regular price of the book bought by Jerome as follows:

SP =x-(x\times 30\%)

8.96=0.70x

   x=\frac{8.96}{0.70}

      =12.80

Thus, the regular price of the book bought by Jerome was $12.80.

3 0
3 years ago
X+2y=10. x+y=6 SOLVE for the value of x and y.
Ksivusya [100]
<span>X+2y=10 ----Eq.1
</span><span>x+y=6---------Eq.2
from Eq2.
x=6-y
Subtituting the value of X in the first equation
6-y+2y=10
6+y=10
y=4
Plug y=4 in equation 2.
</span><span>x+4=6
</span>X= 2
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Please solve with explanation
Roman55 [17]

Answer:

40-20 a new smaller triangle is formed

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3 years ago
What is the circumference of circle p ? Express in terms of pie
SVETLANKA909090 [29]
The circumference of a circle is calculated using the following equation:

C= \pi d

Where d is equal to the diameter (the length of a straight line from one side of the circle to the other side).

We know that the diameter of the circle given (also known as AB) is equal to 20 cm.

We can then plug this into the equation and solve for the circumference:

C= \pi (20)

Since the question asks for the answer to be in terms of \pi, this is as far as we need to go. So the circumference of the circle is: 20 \pi or D.
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4 years ago
What is 5/9 written as a decimal?
kipiarov [429]
Answer is 0.55555556
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