Find the measure of the missing angle
1 answer:
Answer:
z = 69°
Step-by-step explanation:
The sum of all interior angles in a quadrilateral is 360°, and a right angle is worth 90°. We're given the values of the interior angles as 90, 122, 79, and z degrees.
- We can solve this question algebraically with the equation
Step 1: Combine like terms.
Step 2: Subtract 291 from both sides.
Step 3: Check if solution is correct.
Therefore, z = 69°.
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ANSWER:
b) No
c) Yes
EXPLANATION:
b)
3 (-8 + 1) = 3 x -8 + 3
(3 x -8) (3 x +1) = 3 x -8 + 3 (just put left and right sides into calcu separately)
-72 = -21
Both sides are not equal and therefore it isn't a solution.
c)
3 (0.5 + 1) = 3 x 0.5 + 3
(3 x 0.5) (3 x +1) = 3 x 0.5 + 3
4.5 = 4.5
Both sides are equal and thereofre it IS a solution.
Answer:
$140
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
- Left to Right<u> </u>
<u>Algebra I</u>
Simple Interest Rate Formula:
- <em>P</em> is principle amount
- <em>r</em> is rate
- <em>t</em> is time
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify variables</em>
<em>P</em> = 100
<em>r</em> = 4% = 0.04
<em>t</em> = 10
<u>Step 2: Find Interest</u>
- Substitute in variables [Simple Interest Rate Formula]: A = 100(1 + 0.04 · 10)
- (Parenthesis) Multiply: A = 100(1 + 0.4)
- (Parenthesis) Add: A = 100(1.4)
- Multiply: A = 140