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baherus [9]
3 years ago
10

a pentagon is a regular pentagon that has 5 sides, so each side has the same length that is (x - 1.5)cm. The perimeter is 22.5 c

entimeters. What is the value of x?
Mathematics
1 answer:
Ivanshal [37]3 years ago
8 0

Answer:

Step-by-step explanation:

5(x - 1.5) = 22.5

5x - 7.5 = 22.5

5x = 15

x = 3

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What are the steps to solve an inequality like: |n + 8| > 3 ??????
SCORPION-xisa [38]

|n+8|>3\iff n+8>3\ \vee\ n+8-5\ \vee\ n

6 0
3 years ago
Jocelyn owns a food truck that sells tacos and burritos. She only has enough supplies to make 150 tacos or burritos. She sells e
timurjin [86]

Answer:

We know that:

Price of a taco = $4

Price of a burrito = $6.50

x = number of tacos sold

y = number of burritos sold.

We must have that:

x + y ≤ 150  (Because she only has supplies to make 150 tacos or burritos, but she can sell less than that)

And also we know that she must sell at least $780, then:

x*$4 + y*$6.50 ≥ $780

Now we found the system of inequalities:

x + y ≤ 150

x*$4 + y*$6.50 ≥ $780

To solve it graphically, we just need to find each one of the region solutions for each equation, and the intersection of these regions will be the solution for the system.

To graph them may be easier to write them as lines, you can do it as follows:

y ≤ 150 - x

y ≥ ($780 - x*$4)/$6.50

in the first equation, we will shade the area below the line, and in the second equation, we will shade the area above the line.

You can see the image below.

Where the accepted solutions are the ones in the darker part, and we only restrict this to positive values of x (because of how we defined the variable x)

Then looking at the image, we can see that one solution can be the point

x = 20, y = 120

7 0
3 years ago
Helppppppppppppppppp asappppppp
Pani-rosa [81]

Answer:

140

Step-by-step explanation:

<u>As per picture:</u>

∠PTQ  and ∠RTS are vertical angles and they are equal

  • ∠PTQ = (x + 28)°
  • ∠RTS = (2x + 16)°
  • ∠PTQ  = ∠RTS
  • x + 28 = 2x + 16
  • 2x - x = 28 - 16
  • x = 12

∠PTR is supplementary with ∠PTQ  and their sum is 180°

  • ∠PTQ = 12 + 28 = 40°
  • ∠PTR = 180 - 40 = 140°

6 0
3 years ago
Paul jogged for 2/10 of an hour. Ones jogged for 5/8 of an hour. Who jogged for a longer period of time? How much longer?
AleksandrR [38]
Ones jogged for a longer period of time.
by 17/40
6 0
3 years ago
How many solutions does this system has <br> Y=5(x + 2)<br> Y=5(x - 2)
Wewaii [24]
This solution has no solutions because when you do a substitution method you might end up getting rid of the variable and left with a constant.
8 0
3 years ago
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