Answer: a = 9, b = 48, c = -1
<u>Step-by-step explanation:</u>
"a" represents the points you receive if an Ace is picked. It is given that you get 9 points ----> a = 9
"b" represents the number of cards that are Not an Ace. 4 cards in the deck are Aces so 52 - 4 = 48 cards are Not an Ace -----> b = 48
"c" represents the points you receive if Not an Ace is picked. It is given that you lose 1 point ----> c = -1
Angle between 16 and 18 = 90 + 55 = 145°
Hello!
For the 1st part, you have to find 10% of $24.90
To find percents, change the % to a decimal
10% = 0.1
<em>Now, multiply</em>
0.1 × 24.9 = 2.49
She saved $2.49
To find the new price, subtract the original price with the amount she saved.
Original Price = $24.90
She saved = $2.49
24.90 - 2.49 = 22.41
The new price is $22.41
1. Answer – Always
The diagonals of a rhombus are always perpendicular. In fact, if the diagonals of a parallelogram are perpendicular bisectors of each other, then it must be a rhombus. In addition to this, a rhombus always has all four congruent sides.
2. Answer – Always
The diagonals of a rectangle are always congruent (i.e. they are equal in length). Furthermore, in every rectangle, the diagonals bisect each other. Because the diagonals are equal in length, each diagonal divides the rectangle into two congruent right triangles.
3. Answer – Never
The diagonals of a trapezoid are never perpendicular; the diagonals are only perpendicular in rhombuses and squares. In a trapezoid however, the diagonals are congruent. A trapezoid is a quadrilateral that has only one pair of parallel sides.
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