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Anna11 [10]
3 years ago
12

5. Each pair of polygons below are similar. Show your work! Solve for x:

Mathematics
1 answer:
Stella [2.4K]3 years ago
4 0
Since they are similar, you need to find the ratio of similarity (I made up the term, there is probably a correct one that I can’t remember).

If you divide 16/40, you’ll find that that ratio is 2.5. So then you just multiply 16 x 2.5. You’ll get 18.

18 is the length of the top of the trapezoid.

You set 18=2x+4 and solve it algebraically. Subtract 4 from both sides.

14=2x
Divide by 2 and x=7

(You can also check that the ratio is right by 16/18 is the same decimal value as 40/45. You’ll get .88888...)
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Please HELP!!! I'll make you Brainliest!!!!
erica [24]

Answer: 1. d. 7x\geq 350; x\geq 50

2. a. (5, 28)

3. a: C(n) = 0.90 n - 0.40

Step-by-step explanation:

1. Here x represents the saving of one day.

Thus, the total saving for 7 day = 7 x

And, my  goal is to save at least $350.00  ( According to the question)

⇒ 7x\geq 350

⇒  x\geq 50 ( by dividing both sides by 7 )

Therefore, Option d is correct.

2. since, if a point satisfies an equation then we can say that it is the solution of the equation.

(5,28) satisfies y= 5x + 3

Because at x = 5, 5×5 + 3 = 25 + 3 = 28

except this point other points (28, 5), (4, 20) and (3, 19) are not satisfying given equation of line.

Therefore, only (5,28) is the solution of line.

⇒ Option a is correct.

3. Here n represents the number of tunas.

And, according to question the cost of one tuna = $0.90

⇒ Cost of n tunas = $ 0.90n

But again according to the question,

I have a coupon for $0.40 off your total purchase.

Thus, $ 0.40 will be less from my total purchasing cost.

⇒ The cost of n tunas = $ (0.90 n - 0.4)

Option a is correct.



7 0
3 years ago
PLEASE HELP!
Mariana [72]
-----------------------------------------------
Information Given:
-----------------------------------------------
ON = 7x - 9
LM = 6x + 4
MN = x - 7
OL = 2y - 7

-----------------------------------------------
Since it is a parallelogram:
-----------------------------------------------
ON = LM and
MN = OL

-----------------------------------------------
ON = LM:
-----------------------------------------------
7x - 9 = 6x + 4

-----------------------------------------------
Subtract 6x from both sides:
-----------------------------------------------
x - 9 = 4

-----------------------------------------------
Add 9 to both sides:
-----------------------------------------------
x = 13

-----------------------------------------------
MN = OL:
-----------------------------------------------
x - 7 = 2y - 7

-----------------------------------------------
Sub x = 13:
-----------------------------------------------
13 - 7 = 2y - 7

-----------------------------------------------
Simplify:
-----------------------------------------------
6 = 2y - 7

-----------------------------------------------
Add 7 on both sides:
-----------------------------------------------
13 = 2y

-----------------------------------------------
Divide by 2:
-----------------------------------------------
y = 13/2

-----------------------------------------------
Answer: x = 13, y = 13/2 (Answer D)
-----------------------------------------------


6 0
3 years ago
10. In the figure below, ABCD is a square. DEFC, BCGH and AEFB are all
zysi [14]

Answer:

a) As sides of squares are always equal.

So,

BC=CD

2b+CF=a+b

CF= a+b-2b

CF= a-b

b) Area of rectangle CDEF= CDxCF

=(a+b)(a-b)

=(a²-b²)

Hope it helps :-)

6 0
2 years ago
4/7w = 16 hurry please
Novay_Z [31]

Answer:

4

7

w

=

16

Multiply both sides of the equation by

7

4

.

7

4

⋅

4

7

⋅

w

=

7

4

⋅

16

Simplify  

7

4

⋅

4

7

⋅

w

.

Step-by-step explanation:

5 0
3 years ago
marcia is typing her report for history class. She can type 4 pages in 45 minutes. At that rate, how many pages does she type pe
KATRIN_1 [288]

Answer:

5.34 pages/h

Step-by-step explanation:

4/45 = p/60

p ≈ 5.34

5 0
2 years ago
Read 2 more answers
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