<u>y = 25</u>
Step-by-step explanation:
<u>=> 115 = y + 90 {exterior angle of triangle is equal to the sum of its opposite two interior angles}</u>
<u>=> 115 = y + 90 </u>
<u>=> 115-90 =y</u>
<u>=> 115 = y + 90</u>
<u>=> 115-90 =</u><u>y</u>
<u>=> y = 25</u>
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▹ Answer
<em>3 × 4 = 4 × 3</em>
▹ Step-by-Step Explanation
You can use any expression that shows the commutative property of multiplication. For example, 3 × 4 = 4 × 3
Hope this helps!
- CloutAnswers ❁
Brainliest is greatly appreciated!
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Answer:
x = √39
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
<u>Trigonometry</u>
- [Right Triangles Only] Pythagorean Theorem: a² + b² = c²
Step-by-step explanation:
<u>Step 1: Identify</u>
Leg <em>a</em> = <em>x</em>
Leg <em>b</em> = 5
Hypotenuse <em>c</em> = 8
<u>Step 2: Solve for </u><em><u>x</u></em>
- Substitute [PT]: x² + 5² = 8²
- Isolate <em>x</em> term: x² = 8² - 5²
- Exponents: x² = 64 - 25
- Subtract: x² = 39
- Isolate <em>x</em>: x = √39
Given:
3 kids
72 is the product of their ages.
There is a youngest child.
This means that all three are of different ages. We need to factor 72 into 3 integers.
Let us use prime factorization:
72 ÷ 2 = 36
36 ÷ 2 = 18
18 ÷ 2 = 9
9 ÷ 3 = 3
Prime factors are: 2 x 2 x 2 x 3 x 3 OR 2³ x 3²
3 ages.
eldest = 3³ = 9
middle = 2² = 4
youngest = 2¹ = 2
2 x 4 = 8
8 x 9 = 72
