<span>Given: Rectangle ABCD
Prove: ∆ABD≅∆CBD
Solution:
<span> Statement Reason
</span>
ABCD is a parallelogram Rectangles are parallelograms since the definition of a parallelogram is a quadrilateral with two pairs of parallel sides.
Segment AD = Segment BC The opposite sides of a parallelogram are Segment AB = Segment CD congruent. This is a theorem about the parallelograms.
</span>∆ABD≅∆CBD SSS postulate: three sides of ΔABD is equal to the three sides of ∆CBD<span>
</span><span>Given: Rectangle ABCD
Prove: ∆ABC≅∆ADC
</span>Solution:
<span> Statement Reason
</span>
Angle A and Angle C Definition of a rectangle: A quadrilateral
are right angles with four right angles.
Angle A = Angle C Since both are right angles, they are congruent
Segment AB = Segment DC The opposite sides of a parallelogram are Segment AD = Segment BC congruent. This is a theorem about the parallelograms.
∆ABC≅∆ADC SAS postulate: two sides and included angle of ΔABC is congruent to the two sides and included angle of ∆CBD
The simple interest of $4,700 principal at 4% interest and 10 months is <u>$156.67</u> and its <u>maturity level</u> is <u>83%</u>.
<h3>What is simple interest?</h3>
Simple interest refers to the interest calculated only on the principal.
With the simple interest method, the borrower only pays interest on the principal without considering the previously-accumulated interests.
<h3>Data and Calculations:</h3>
Principal = $4,700
Interest rate = 4%
Period = 10 months
Simple interest = $156.67 ($4,700 x 4% x 10/12)
Thus, the simple interest of $4,700 principal at 4% interest and 10 months is <u>$156.67</u> and its <u>maturity level</u> is <u>83%</u>.
Learn more about simple interests at brainly.com/question/
Answer is -10
Work: -(5+5)
Combine the like terms
(4x^2 + 2x^2) +(7x - 5x) + (3 - 8)
6x^2 2x -5
6x^2 + 2x - 5
Answer is A
