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Sedbober [7]
4 years ago
5

Find the value of x?

Mathematics
1 answer:
mixer [17]4 years ago
8 0

Answer:

x = 94°

Step-by-step explanation:

interior angle sum of any polygon: (s-2)×180°

with s being the number of sides.

since there are 7 sides, 7-2 = 5

5* 180°

900° = total sum

______________________________

since we know the rest of the angles, just subtract the total sum from the sum of the known angles to find the unknown one.

900°-(148°+140°+136°+142°+150°+90°) = x

900°- 806°= 94°

x= 94°

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A rectangle has a length that is 9 inches less than twice its width. The area of the rectangle is 180 square inches.
k0ka [10]

Answer:

Step-by-step explanation:

a) Let the width = w

Two times its width = 2*w = 2w

9 inches less than 2w = 2w - 9

Length = 2w - 9

Area of rectangle = length *width = 180 square inches

(2w - 9 ) * w = 180

2w*w - 9*w = 180

2w² - 9w - 180 = 0

b) sum = -9

Product= -360

Factors  = -24 , 15    {15 *[-24] = -360 and 15 + (-24) = -9 }

2w² - 9w - 180 = 0

2w² - 24w + 15w - 180 = 0

2w(w - 12w) + 15(w - 12) = 0

(w -12) (2w + 15) = 0

{Ignore 2w + 15 = 0 as measurements cannot be a -ve value}

w - 12 = 0

w = 12 inches

l = 2w -9

 = 2*12 - 9

= 24 - 9

l = 15

length = 15 inches

Width = 12 inches

c) Perimeter = 2 *(length + width)

                     = 2*(15 + 12)

                     = 2 * 27

                     = 54  inches

5 0
3 years ago
HELP I NEED THIS NOW I HAVE 5 MINUTES LEFT AND 5 MORE QUESTIONS!!
Elan Coil [88]

Answer:

Step-by-step explanation:

1st box. -3x

2nd and 3rd box. -21 on each side

4th box. 0

and you have the rest I hope I could help you.

6 0
3 years ago
A school group is helping plant a new city garden. Today they used 12 1/2 pounds of potting soil and planted 2/5 of the garden.
Len [333]

Answer:

18\frac{3}{4} pounds.  

Step-by-step explanation:

Let x be the total amount of potting soil needed to complete the planting in new garden.    

We are told that a school group is helping plant a new city garden. Today they used 12 1/2 pounds of potting soil and planted 2/5 of the garden. This means 2/5 of x equals to 12 1/2.

\frac{2}{5} x=12\frac{1}{2}

\frac{2}{5} x=\frac{25}{2}  

x=\frac{25}{2}\times\frac{5}{2}

x=\frac{125}{4}

To find the amount of soil needed for the next of planting we will subtract the amount of potting soil used on the first day (\frac{25}{2}) from amount of total potting soil (\frac{125}{4}).

\text{Amount of potting soil needed for second day}=\frac{125}{4}-\frac{25}{2}

\text{Amount of potting soil needed for second day}=\frac{125}{4}-\frac{25\times 2}{2\times2}

\text{Amount of potting soil needed for second day}=\frac{125}{4}-\frac{50}{4}

\text{Amount of potting soil needed for second day}=\frac{75}{4}

\text{Amount of potting soil needed for second day}=\frac{75}{4}=18\frac{3}{4}

Therefore, the group will need 18\frac{3}{4} pounds of potting soil to finish their work.            

7 0
3 years ago
What’s the answer to this?
jasenka [17]

Answer:

It would be the first option: Last week, Rosemary walked at a faster pace.

Step-by-step explanation:

Last week, the speed was d=3h, as for this week, her speed was d=2.5h.

No one knows how many hours she walked this week so we cannot say that she walked a greater distance.

7 0
3 years ago
Read 2 more answers
A=12 B=5 C=2. help the one who answers get the brainest
Umnica [9.8K]
6(12)
-------  - 2
c(2)

72
-----  = 36 - 2 = 34(answer)
  2

6 0
3 years ago
Read 2 more answers
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