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vampirchik [111]
3 years ago
8

Find the value of the the missing angle in grades in each of the following figures.​

Mathematics
1 answer:
IgorC [24]3 years ago
3 0

Answer:

40

Step-by-step explanation:

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Cynthia Besch wants to buy a rug for a room that is 20 ft wide and 35 ft long. She wants to leave a uniform strip of floor aroun
My name is Ann [436]

Answer:

18ft wide and 33 ft long

Step-by-step explanation:

We are told in the question that:

Cynthia Besch wants to buy a rug for a room that is 20 ft wide and 35 ft long.

The Area of the carpeting she must have = 594 ft²

To solve for this, we have:

Length × Width = Area of a rectangle

594ft² = Length × Width

594ft² = (20 - x) (35 - x)

594 = 700 - 20x - 35x + x²

594 = 700 - 55x + x²

Collect like terms

x² - 55x + 700 - 594

x² - 55x + 106

We factorise

x² - 2x - 53x + 106

(x² - 2x) -(53x + 106)

x(x - 2) -53(x - 2)

(x - 2)(x - 53)

x - 2 = 0, x = 2

x - 53 = 0, x = 53

We choose the least value for x

Hence, x = 2

Length = 20 - 2 = 18ft

Width = 35 - 2 = 33ft

The dimensions the rug should have is 18ft by 33ft, meaning 18ft wide and 33 ft long

8 0
3 years ago
15) 4+4(v - 6) &lt;-29+ v<br> what’s v =
MA_775_DIABLO [31]

Answer:

The answer is: v < -3. So any number less than -3 fulfills the inequality.

Step-by-step explanation:

4 + 4(v - 6) < -29 + v

4 + 4v - 24 < -29 + v

4v - 20 < -29 + v

3v < -9

v < -3

Hope this helps! Have an awesome day! :-)

3 0
3 years ago
if you have a population of 40million people and 2million of them are from out of town. what percentage of them are out of towne
suter [353]

Answer:

5%

Step-by-step explanation:

There are 2000000 people out of town and 4000000 people in total.

Solution for 2000000 is what percent of 40000000:

2000000:40000000*100 =

(2000000*100):40000000 =  

200000000:40000000 = 5

Now we have: 2000000 is what percent of 40000000 = 5  

Question: 2000000 is what percent of 40000000?

Percentage solution with steps:

Step 1: We make the assumption that 40000000 is 100% since it is our output value.

Step 2: We next represent the value we seek with x

Step 3: From step 1, it follows that 100%= 40000000.

Step 4: In the same vein, x%=2000000.

Step 5: This gives us a pair of simple equations:

100%=40000000(1).

x%=2000000(2).

Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS

(left hand side) of both equations have the same unit (%); we have

100%/x%=40000000/2000000

Step 7: Taking the inverse (or reciprocal) of both sides.

⇒ x=5%

Therefore, 2000000 is 5% of 40000000.

I hope that answers your question and plz mark me brainliest!

4 0
3 years ago
Determine which choice best shows the distributive property of multiplication.
WITCHER [35]

Answer:

c) 6× (9+8) = (6 × 9) + (6× 8)

Step-by-step explanation:

<u><em>Distributive property of multiplication</em></u>

The distributive property of multiplication

a(b+c) = a b + a c

(a+b)c = ac + bc

6× (9+8)  = (6× 9) + (6×8)

4 0
2 years ago
Help plss?? :) What was the main reason for the rapid growth of Tacoma, Seattle, and Spokane in the 1880s?
weqwewe [10]

Answer:

Though both Seattle and Tacoma grew at a rapid rate from 1880 to 1890, based on the strength of their timber industries, Seattle's growth as an exporter of services and manufactured goods continued for another two decades, while Tacoma's growth dropped almost to zero.

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
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