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Gnoma [55]
3 years ago
9

A triangle has side lengths of 4 inches, 5 inches, y + 1 inches. Another triangle has side lengths of 2 inches, x inches, 3 inch

es.
These two figures are the image and pre–image of a dilation.
Mathematics
2 answers:
garik1379 [7]3 years ago
7 0

Answer:

X= 2.5

Y= 5

Step-by-step explanation:

son4ous [18]3 years ago
3 0

Answer:

x = 2.5.

y = 5.

Step-by-step explanation:

As they are image and pre-image of a dilation they are similar triangles, so the corresponding sides are in the same ratio.

4/2 = 5/x

2 = 5/x

2x = 5

x = 2.5.

Also:

4/2 = (y + 1)/ 3

2 = (y + 1) / 3

y + 1 = 6

y = 5.

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3 0
3 years ago
Dustin collects football cards.
Setler79 [48]
<em>Total Price = 3+5+5+8+8+10+10+10+40 = 99

</em>
\frac{99}{9} =11<em>
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6 0
3 years ago
Of the following equations below, which equation represents a direct variation between x and y?
spin [16.1K]

Answer:

C. y +3 = x +3

Step-by-step explanation:

We need to find in below option x has direct variation with y.

We solve for each;

A. 2y = 3x-7

From above equation we can state that 2 times y is equal to 7 less than 3 times of x.

Hence it doesn't represent direct variation.  

B. y-4 = x+6

Solving above expression we get;

y-4 = x+6\\y = x+6+4\\y=x+10

From above equation we can state that y is equal to 10 more than x.

Hence it doesn't represent direct variation.

C. y+3 = x+3

Solving above expression we get;

y+3 = x+3\\y = x+3-3\\y=x

From above equation we can state that y is equal to x.

Hence it represent direct variation.

D. 4y+1 = 4x-1

Solving above expression we get;

4y+1 = 4x-1\\4y = 4x-1-1\\4y=4x-2

From above equation we can state that 4 times y is equal to 2 less than 4 times of x.

Hence it doesn't represent direct variation.

Hence the Answer which represent direct variation of x and y is,

C. y+3 = x+3

7 0
3 years ago
Explain how 9*4 can help you find 9*8
statuscvo [17]
It can help because 9×4 =36, and 9×8=72. if you divide 72 by 2 you get 36 which is the answer to 9 ×4. basically because nine is the same in both problems you are multiplying by 4 (and you know 4 is half of 8) you can assume that multiplying the sum of 4 and 9 that you will get the sum of 8 and 9.
4 0
3 years ago
Read 2 more answers
Find the face value of the 20-year zero-coupon bond at 4.4%, compounded semiannually, with a price of $8,375.
umka21 [38]

<u>Given</u>:

Time,

t = 20 years

Rate,

r = 4.4%

Price

= $8,375

Now,

The yield will be:

= \frac{4.4}{2}

= 1.1 (%)

Time will be:

= 20\times 2

= 40 \ periods

As we know the formula,

⇒ Price \ of \ bond = \frac{Face \ value}{(1+\frac{r}{2} )^{n\times 2}}

By substituting the values, we get

                   8375=\frac{Face \ value}{(1+\frac{0.044}{2} )^{20\times 2}}

                   8375=\frac{Face \ value}{(1.022)^{40}}

                   8375=\frac{Face \ value}{2.3880083}

The face value will be:

        Face \ value = 2.3880083\times 8375

                           =20,000 ($)

Learn more about face value here:

brainly.com/question/14862802

5 0
3 years ago
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