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NeX [460]
3 years ago
12

Henry draws Δ F G H . Then, he translates that triangle to create Δ F ' G ' H ' . The distance from F to F' is 4 centimeters. Wh

at is the length of ¯¯¯¯¯¯¯ G G ' ?
A. 2 cm
B. 3 cm
C. 4 cm
D. 6 cm
Mathematics
2 answers:
exis [7]3 years ago
7 0

Answer:

The correct option is C.

Step-by-step explanation:

It is given that Henry translates the ΔFGH to create ΔF'G'H'.

Translation is a rigid transformation. In translation, every point of the object must be moved by same distance and in the same direction.

In other words the distance between corresponding points are same.

It is given that the distance from F to F' is 4.

FF'=4

Since G and G' are corresponding points, so

GG'=FF'

GG'=4

The length of GG' is 4 centimeters.

Therefore, the correct option is C.

aleksley [76]3 years ago
3 0

Answer:

The answer is A

Step-by-step explanation:

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Step-by-step explanation: Hope this helps!

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3 years ago
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In this diagram, BAC~EDF. If the area of BAC=15 in2, what is the area of EDF? 4, 5.
lesya692 [45]

Answer:

9.6 square inches.

Step-by-step explanation:

We are given that ΔBAC is similar to ΔEDF, and that the area of ΔBAC is 15 inches. And we want to determine the area of ΔDEF.

First, find the scale factor <em>k</em> from ΔBAC to ΔDEF:

\displaystyle 5 k = 4

Solve for the scale factor <em>k: </em>

<em />\displaystyle k = \frac{4}{5}<em />

<em />

Recall that to scale areas, we square the scale factor.

In other words, since the scale factor for sides from ΔBAC to ΔDEF is 4/5, the scale factor for its area will be (4/5)² or 16/25.

Hence, the area of ΔEDF is:

\displaystyle \Delta EDF = \frac{16}{25}\left(15\right) = 9.6\text{ in}^2

In conclusion, the area of ΔEDF is 9.6 square inches.

5 0
3 years ago
The book store is having a sale where all hardcover books are 20% off. Jamie also has a coupon for 15% off any fiction book. Jam
scoray [572]

You can use the fact that both 20% and 15% discounts will be merged to reduce 35% of the price of the book that Jamie buys.

By buying the book on sale and using the coupon, Jamie will save

Option B: $11.55

<h3>
How are discounts calculated for the case when its sale and we've got discount coupons too?</h3>

Suppose the sale gives p% off.

And the discount coupon provides q% off.

Then we have total discount applied on the cost of the object bought as

(p+q)%

<h3>How to find the percentage from the total value?</h3>

Suppose the value of which a thing is expressed in percentage is "a'

Suppose the percent that considered thing is of "a" is b%

Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then we multiply it with b so that we collect b items per 100 items(that is exactly what b per cent means).

Thus, that thing in number is

\dfrac{a}{100} \times b

<h3>Using the above fact to calculate the amount that Jamie saved </h3>

Since the sale offers 20% discount and Jamie has got 15% discount coupon for any fiction book, thus, total 35% will be discounted if Jamie buys fiction book.

Since the price of the fiction book that Jamie brought is $32.99, thus,

Saved amount = 35% of $32.99 = \dfrac{32.99}{100} \times 35 = 0.3299 \times 35 \approx \$11.55

Thus,

By buying the book on sale and using the coupon, Jamie will save

Option B: $11.55

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Learn more about percentage here:

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5 0
2 years ago
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CaHeK987 [17]

Answer:

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Step-by-step explanation:

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krok68 [10]

Answer:

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Step-by-step explanation:

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3 years ago
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