Substitute.
2x+(2x -15) = -3
4x -15 = -3
Add 15 to both sides
4x = 12
Divide by 4
X=3
2(3) + y = -3
6+y=-3
-6 from both sides
Y=-9
(3,-9)
In this question there are several information's of immense importance already given.
The number of pair of gloves that the merchant bought = 30 dozens
1 dozen = 12 gloves
Also
1 pair = 2 gloves
Then
The total numberof individual gloves bought
by the merchant = 30 * 12 * 2
= 720
The correct option among all the options given in the question is option "C" and it can be checked via the above solution.
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).
Answer:
Wage of Jolene is 414.29 dollars per week
Step-by-step explanation:
Amount received by Jolene for planting a tree is 17 cents
Given
Total amount of trees planted in a week = 2437
Wage of Jolene is equal to product of number of trees planted and amount paid for planting one tree
Wage of Jolene
Dollars
