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aliina [53]
2 years ago
13

Find each lettered angel measure

Mathematics
1 answer:
hammer [34]2 years ago
7 0

Answer:

a = 64°

b = 138.7°

Step-by-step explanation:

First, Let's find the measure a,

  • 180° = 116° + a
  • 180 - 116 = a
  • a = 64°

______

Now,

  • 90° + a + 82° + x + x + x = 360°
  • 90+ 64 + 82 + 3x = 360°
  • 236 + 3x = 360
  • 3x = 124/ 3
  • x = 41.3°

______

Now that we found out what x equals, let's find 'b'-

  • b + x = 180°
  • b + 41.3 = 180
  • b = 180 - 41.3
  • b = 138.7°
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Monica sells lemonade over the summer and uses conical paper cups to serve
Alina [70]

Answer: She would need 206 paper cups.

Step-by-step explanation: First of all, Monica has a 10-gallon container full of lemonade and this translates into 37850 cubic centimetres volume of lemonade. The conversion rate has been provided as one gallon equals 3785 cubic centimetres, therefore ten gallons would be 3785 times ten which gives you 37,850 cubic centimetres of lemonade.

Each cone shaped paper cup has a diameter measuring 8 centimetres and 11 centimetres in height. The radius of the cone shaped cup therefore is 4 centimetres (radius equals diameter divided by two). The volume of each cup therefore is given as;

Volume of a cone = (πr²h)/3

Volume of a cone = (3.14 * 4² * 11)/3

Volume of a cone = 552.64/3

Volume of a cone = 184.2

If each cone could hold 184 cubic centimetres of lemonade, then the entire ten gallons would require the following number of cone shaped cups;

Number of cups = Total volume/Volume of a cup

Number of cups = 37850/184.2

Number of cups = 205.48

Rounded to the nearest whole number, this becomes

Number of cups ≈ 206

Therefore Monica would need 206 cone shaped paper cups to empty the entire 10 gallons of lemonade.

4 0
3 years ago
Use pencil and paper to create a table of values for the equation, x - 2y = 6. Rearrange the equation into the y = mx + b form.
Lunna [17]

Answer:

y = 1/2x -3

x=-2 ⇒ y =  -4

x=-1 ⇒ y =  -3.5

x=0 ⇒ y =  -3

x=1 ⇒ y =  -2.5

x=2 ⇒ y = -2

Step-by-step explanation:

Hi, to answer this question we have to isolate y:

x - 2y = 6

-2y =6-x

y = (6-x)/-2

y = -3+1/2x

y = 1/2x -3  

Now, we have to create a table with the next values (see attachment)

x=-2 ⇒ y = 1/2x -3 = 1/2(-2)-3= -4

x=-1 ⇒ y = 1/2x -3 = 1/2(-1)-3= -3.5

x=0 ⇒ y = 1/2x -3 = 1/2(0)-3= -3

x=1 ⇒ y = 1/2x -3 = 1/2(1)-3= -2.5

x=2 ⇒ y = 1/2x -3 = 1/2(2)-3= -2

Feel free to ask for more if needed or if you did not understand something.

7 0
3 years ago
Which inequality represents the statement? The ages (a) of s group of travelers all exceeded 17 years and were no more then 54 y
klasskru [66]

Answer:

The inequality that represents the age of the group, "x", is: 17 < x \leq 54

Step-by-step explanation:

To express this problem in an inequality we will attribute the age of the members on the group with the variable "x". There are two available information about "x", the first states that every member of the group is older than 17 years, therefore we can create a inequality based on that:

x > 17

While the second data from the problem states that none of than is older than 54 years old, this implies that they can be at most that old, therefore the inequality that represents this is:

x\leq 54

In order for both to be valid at the same time x must be greater than 17 and less or equal to 54, therefore we finally have:

17 < x \leq 54

7 0
3 years ago
Find the value of the expression.<br> x + y + 5<br> for x = 3 and y = 4
Alexandra [31]

Answer:

12

Step-by-step explanation:

if x = 3

and y = 4

3 + 4 + 5 = 12

what grade is this

3 0
2 years ago
What additional information can be used to prove ΔEFG ≅ ΔYXW by SSS?
navik [9.2K]
D because there sides are congruent
6 0
3 years ago
Read 2 more answers
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