9514 1404 393
Answer:
- interior: 175°
- exterior: 5°
Step-by-step explanation:
The sum of exterior angles is 360°, so the exterior angle can be easiest to find first.
exterior angle = 360°/72 = 5°
The interior angle is the supplement of this.
interior angle = 180° -5° = 175°
The measure of one interior angle is 175°; one exterior angle is 5°.
Answer:
x = 27/16
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
Step-by-step explanation:
<u>Step 1: Define equation</u>
x + 5/9x = 2(3 - x)
<u>Step 2: Solve for </u><em><u>x</u></em>
- Distribute 2: x + 5/9x = 6 - 2x
- Combine like terms: 14/9x = 6 - 2x
- Add 2x on both sides: 32/9x = 6
- Divide 32/9 on both sides: x = 27/16
<u>Step 3: Check</u>
<em>Plug in x into the original equation to verify it's a solution.</em>
- Substitute in <em>x</em>: 27/16 + 5/9(27/16) = 2(3 - 27/16)
- Multiply: 27/16 + 15/16 = 2(3 - 27/16)
- Subtract: 27/16 + 15/16 = 2(21/16)
- Multiply: 27/16 + 15/16 = 21/8
- Add: 21/8 = 21/8
Here we see that 21/8 does indeed equal 21/8.
∴ x = 27/16 is a solution to the equation.
Answer:
1. 5/4
2. 7
Step-by-step explanation:
1) Lets call the width as w
Therefore length would be:
w+4
To find the perimeter you use the formula:
2 (l+w)
Now substitute our values into this formula:
2 (w+4+w)
2( 2w+4)
4w+8
Now make this equal to 13:
4w +8 = 13
4w = 5
w = 5/4
2. In this question we will call length l
Therefore width would be:
l-5
Now we will do the steps we did above:
2 (l+l-5)
2 (2l-5)
4l -10
4l - 10 = 18
4l = 28
l = 7
Add 4 to each side and the divide each side by 2.
1
-2x + 4.4 = 23.8
Subtract 4.4 from both sides
-2x = 19.4
Divide both sides by-2:
X = -9.7
Answer: C. -9.7