Answer: (4, -1)
Step-by-step explanation: You have to rewrite in vertex form and use the form to find the vertex
Answers:
1) Given
2) angle 2 ** see note below
3) angle 3 ** see note below
4) converse of alternate exterior angle theorem
note: you can swap the answers for 2 and 3 and it doesn't matter
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Explanations:
1) This is given so we just simply state "given". It seems silly to repeat what is given, but this is how you start any geometry proof.
2 & 3) The answers here are angle 2 and angle 3 because they are both interior angles (on the inside of the parallel lines m and L) and they are on alternate sides of the transversal line q. So they are both alternate interior angles and are congruent due to line L parallel to line m (alternate interior angle theorem)
4) If you have a pair of parallel lines, then the alternate exterior angle theorem says that alternate exterior angles are congruent. Going in reverse, the converse of this theorem says that having a pair of congruent alternate exterior angles (angle 1, angle 2) leads to the lines being parallel (p and q).
All of the positive numbers you can think of without a decimal point is greater than all of those numbers .
Answer:
$138
Step-by-step explanation:
Let the money with Raymond be $y
Let the cost of 1 tshirt be $x
then cost of 8 tshirt = cost of 1 t-shirt*8 = 8x
Raymond wanted to buy 8 t-shirt but he was short of $8.10
It means that 8x is equal to money he had plus $8.10
thus,
y + 8.10 = 8x
y = 8x - 8.10
Next situation
cost of 5 t-shirt = 5x
. instead he bought 5 T-shirt and had $12.60 left,
it means cost of 5 T-shirt plus $12.60 = total money Raymond had
y = 5x + 12.60
comparing y in both the equation
y = 8x - 8.10 and y = 8x - 8.10
5x + 12.60 = 8x - 8.10
=> 8x-5x = 12.60+8.10
=> 3x = 20.70
=> x = 20.70/3 = 6.9
Thus, cost of 1 T-shirt = $6.9
cost of 20 T-shirt = 20*$6.9 = $138 (Answer)
Answer:
O a shift of the supply curve for apple juice to the right
Step-by-step explanation:
