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Alik [6]
3 years ago
14

1) For question 1, use the figure below. a) Are the following polygons similar? Explain. (2 pts) Yes or No b) Assume the polygon

s are similar. Write a similarity statement for the polygons. (1 pt) c) A new figure is created, Polygon JKLM, such that Polygon ABCD is similar to Polygon JKLM, and side JM is 36. Given this information, what is the scale factor between Polygon JKLM and Polygon ABCD. Show the calculations that lead to your results. (2 pts)

Mathematics
1 answer:
Delvig [45]3 years ago
3 0

Answer: a) Yes b) Polygon ABCD ~ Polygon EFGH c) JKLM is 3x bigger than polygon ABCD

Step-by-step explanation:

(for part c)

JM= 36

AD= 12

36/12= 3

JKLM is 3x bigger than polygon ABCD

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Rudik [331]

Answer:

-1

Step-by-step explanation:

5/1 would equal 5.

5-6=-1

hope it helps!

3 0
3 years ago
Read 2 more answers
If f(x)=5x+a and f-1(10)=-1, find a
zhenek [66]

Answer:

15

Step-by-step explanation:

Given the function

f(x)=5x+a

and f^{-1} (10)=-1(f^{-1} \text{is the inverse function of f})

let f(x)=y

Substitute in f(x)

y=5x+a\\y-a=5x\\x=\frac{y-a}{5}

From the definition inverse function

if f(x)=y    ⇒   f^{-1} (y)=x

Substitute this in the above expression

f^{-1} (y)=\frac{y-a}{5}

Substitute y=10

⇒

f^{-1} (10)=\frac{10-a}{5}\\-1=\frac{10-a}{5}\\-5=10-a\\a=10+5\\a=15

Therefore a=15

4 0
3 years ago
Last year, Felipe invested his money in two purchases. He purchased a certificate of deposit for $12,000 that paid 6% interest p
Alexus [3.1K]
Same as the other one

part A)

CD 12,000 at 6%, how much is that?  (6/100) * 12000

CB 4000 at 5%, how much is that?  (5/100) * 4000

part B)

total investment was 12000 + 4000 = 16000

the earned interest above are 720 and 200 respectively

total yield was, 720 + 200 = 920

if 16000 is the 100%, how much is 920 in percentage?

\bf \begin{array}{ccllll}
amount&\%\\
\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\
16000&100\\
920&x
\end{array}\implies \cfrac{16000}{920}=\cfrac{100}{x}

solve for "x"
8 0
3 years ago
Express the following quantities as ordinary decimal numbers: (use solution)
MissTica

Step-by-step explanation:

6.130 \times  {10}^{9}  = 9130000000

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3 years ago
Ali will rent a car for the weekend. He can choose one of two plans. The first plan has an initial fee of 70 and costs an additi
Aleksandr-060686 [28]

Answer: Ali would need to drive 350 miles for the two plans to cost the same.

Step-by-step explanation:

This question can be solved by creating two equations using the information supplied in the question and then solving these simultaneously.

Let the cost be C.

Let the number of miles be M.

Let the initial payment be i.

Let the rate per mile driven be R.

Plan 1:

C = i+R×M

C = 70+0.60M ... equation 1

Plan 2:

C = i+R×M

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Substituting equation 2 into equation 1:

0.80M = 70+0.60M

0.80-0.60M = 70

0.20M = 70

M = 70/0.20

M = 350 miles

5 0
3 years ago
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