Answer:
12
Step-by-step explanation:
28 / 4 = 7
1) -2
2) -2+7=5
3) 5+7=12
4) 12+7=19
5)19+7=26
The two friends have the shortest distance between them are Carrie and Nayla.
In order to determine the distance of the friends from each other, the value of the angles have to be determined. The given figure is a triangle. Sum of angles in the triangle equal 180 degrees.
The first step is to determine the value of x:
20x + 7) + (5x + 50) + (5x + 3) = 180
Add similar terms togethers
30x + 60 = 180
Combine similar terms
30x = 180 - 60
30x = 120
x = 120 / 30
x = 4
The second step is to determine the value of each angle
Nayla = 20(4) + 7 = 87
Carrie = Second angle = 5(4) + 50 = 70
Maria = Third angle = 180 - (70 + 87) = 23
Nayla and Carrie live closest to each other
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Answer:
<h3>12.56</h3>
Step-by-step explanation:
To get the length of the arc, we are going to use the formula for calculating the circumference of a semicircle.
Circumference of a semi circle = πd/2
Given
Diameter d = 8
π = 3.14
Substitute;
C = 3.14(8)/2
C = 3.14 * 4
C = 12.56
Hence the the length of the arc is 12.56
Answer:-
<em>Refer</em><em> </em><em>to</em><em> </em><em>attachment</em><em> </em><em>for</em><em> </em><em>the</em><em> </em><em>required</em><em> </em><em>solution</em>.
Answer:
(6, 3)
General Formulas and Concepts:
<u>Pre-Alg</u>
- Order of Operations: BPEMDAS
<u>Alg I</u>
- Solving systems of equations using substitution/elimination
Step-by-step explanation:
<u>Step 1: Define systems</u>
4x = 8y
2x + 5y = 27
<u>Step 2: Rewrite systems</u>
x = 2y
2x + 5y = 27
<u>Step 3: Solve for </u><em><u>y</u></em>
- Substitute: 2(2y) + 5y = 27
- Multiply: 4y + 5y = 27
- Combine like terms: 9y = 27
- Isolate <em>y</em>: y = 3
<u>Step 4: Solve for </u><em><u>x</u></em>
<em>Plug in y into an original equation to find x.</em>
- Substitute: 4x = 8(3)
- Multiply: 4x = 24
- Isolate <em>x</em>: x = 6