Adding to the solutions and points gotten, we can further say that: Opposite angles of the parallelogram are congruent, by the theorem of Side Angle side (SAS) (i.e angle AEB = CED )
<h3>Meaning of Congruence</h3>
Congruence can be defined as a term used to depict a state of two object being equal, in harmony, and in agreement.
The congruence of a shaped is verified by some laws which they both must satisfy.
In conclusion, the triangle is congruent with the fact stated in the question and the additional fact added above.
Learn more about congruence: brainly.com/question/3168048
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The commutative property of multiplication states that the numbers can be multiplied in any order.
a+b = b+a : Commutative property of addition
a*b = b*a : Commutative property of multiplication
a+0=a : Additive identity property
a*1 =a : Multiplicative identity property
Answer : a*b =b*a
Answer:
The value of <em>x</em> is equal to 1, written as <em>x</em> = 1.
General Formulas and Concepts:
<u>Algebra I</u>
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtraction Property of Equality
Terms/Coefficients
Functions
Step-by-step explanation:
<u>Step 1: Define</u>
g(x) = 5x + 4
g(x) = 9
<u>Step 2: Solve for </u><u><em>x</em></u>
- Substitute in function value: 9 = 5x + 4
- [Subtraction Property of Equality] Subtract 4 on both sides: 5 = 5x
- [Division Property of Equality] Divide 5 on both sides: 1 = x
- Rewrite: x = 1
∴ when the function g(x) equals 9, the value of <em>x</em> that makes the function true would be <em>x</em> = 1.
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Topic: Algebra I
Answer:
Enter a payment of 5192.52.
Step-by-step explanation:
Consider the provided information.
The payment is $4800 with a 4 month, 8% note.
The amount can be calculated as:
Where <em>p</em> is money invested, <em>r</em> is annual interest rate, <em>t</em> is number of years and <em>m</em> is number of period.
Now substitute p = 4800 r = 0.08 and m = 4 in the above formula.
Hence, enter a payment of 5192.52.
