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S_A_V [24]
3 years ago
10

Polygons EFHG and E′F′H′G′ are shown on the following coordinate grid: A coordinate grid is shown from positive 6 to negative 6

on the x-axis and from positive 6 to negative 6 on the y-axis. A polygon EFHG is shown with vertex E on ordered pair 2, 2, vertex F on ordered pair 2, 4, vertex H on ordered pair 3, 5 and vertex G on ordered pair 3, 1. A polygon E prime F prime H prime G prime is shown with vertex E prime on ordered pair negative 1, 2, vertex F prime on ordered pair negative 3, 2, vertex H prime on ordered pair negative 4, 3, and vertex G prime on ordered pair 0, 3. What set of transformations is performed on EFHG to form E′F′H′G′?

Mathematics
1 answer:
stira [4]3 years ago
6 0
Check the first picture. Our goal is to map  <span>EFHG to  E′F′H′G′.
</span>
All choices involve a rotation by 90° or 270°<span> counterclockwise about the origin.

consider a rotation </span>by 90° counterclockwise. Each point P(a, b) can be rotated 90° cwise about the origin to form P"(a",b") :

by drawing the right angle POP", such that |PO|=|OP"|.

or by plotting each P"(a",b") so that  (a",b")=(-b, a)

for example if G(3, 1) is mapped to G(-1, 3) by either of the procedures described.

check picture 2.

EFHG  is mapped to E′'F'′H'′G′'.

In order to map E′'F'′H'′G′' to E'F′H'G′, we need to translate the figure 1 unit right.


Answer: 

"<span>A 90-degree counterclockwise rotation about the origin followed by a translation 1 unit to the right</span>"

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Sloan [31]

Answer:

62

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8 0
3 years ago
What is the length of AC¯¯¯¯¯
Nutka1998 [239]

Answer: AC=12 cm

Step-by-step explanation:

To  solve this problem you must apply the law of sines, as you can see below:

\frac{a}{sinA}=\frac{b}{sinB}

Where:

a=13

A=85.2°

B=71.6°

Therefore, you must solve for b, then, you obtain that the lenght AC asked in the problem above is:

b={sinB}*\frac{a}{sinA}\\b=\frac{sin(71.6)*13}{sin(85.2)}\\b=12

5 0
3 years ago
Read 2 more answers
In a certain store, the regular price of a refrigerator is$600. How much money is saved by buying this refrigeratorat 20 percent
Ira Lisetskai [31]

Correct option is A. Money saved is  ′ $6 ′ .

Given

Regular price of the refrigerator = $600

i) Buying the refrigerator at 20 percent off regular price

Final Discount in this case = 20% (Regular price of the refrigerator)

= 20 / 100 × 600

​= $120

ii)  Buying it on sale at 10 percent off regular price and an additional 10 percent off sale price

Discount for the sale = 10% (Regular price of the refrigerator)

=  10/100  × $600

= $60

Sale price of the refrigerator = Regular price of the refrigerator − Discount for sale

= $600 − $60

= $540

Final Discount in this case = 10% (Sale price of the refrigerator)

= 10/100​  × $540

= $54

Money saved if we buy as (case−i) = (Final Discount in (case.i)) − (Final Discount in (case.ii))

= $60 − $54

= $6

Therefore, Money saved is  ′ $6 ′ .

To learn more about percentage from given link

brainly.com/question/24304697

#SPJ4

4 0
1 year ago
What is the quoteient of -3/8 and -1/3 ​
Nonamiya [84]

Answer:

9/8 I think I could be wrong tho

5 0
3 years ago
Can someone help me with this please.
UkoKoshka [18]
This equals: x^3 + 5x^2 - 4x - 20
making the degree 3, the LC 1, and the y-int 20
hope this helps
6 0
2 years ago
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