Answer:
C. x = 3, y = 2
Step-by-step explanation:
If both triangles are congruent by the HL Theorem, then their hypotenuse and a corresponding leg would be equal to each other.
Thus:
x + 3 = 3y (eqn. 1) => equal hypotenuse
Also,
x = y + 1 (eqn. 2) => equal legs
✔️Substitute x = y + 1 into eqn. 1 to find y.
x + 3 = 3y (eqn. 1)
(y + 1) + 3 = 3y
y + 1 + 3 = 3y
y + 4 = 3y
y + 4 - y = 3y - y
4 = 2y
Divide both sides by 2
4/2 = 2y/2
2 = y
y = 2
✔️ Substitute y = 2 into eqn. 2 to find x.
x = y + 1 (eqn. 2)
x = 2 + 1
x = 3
Answer:
slope is (y1-y2)/x1-x2 pick two points on the line
Step-by-step explanation:
To solve for x, put all of the angle measurements on one side of an equation and set it equal to 360, because the sum of any exterior angles is 360 degrees. hope this helped!
Answer:
£3,780
Step-by-step explanation:
Total rows = 19 rows
Seats per row = 28 seats
Cost of tickets per seats = £8.75
Total number of seats at the concert = Total rows × seats per row
= 19 rows × 28 seats
= 532 seats
The tickets for 100 seats have not been sold
Total number of tickets = sold tickets + unsold tickets
532 = sold tickets + 100
532 - 100 = sold tickets
432 = sold tickets
Sold tickets = 432 tickets
Total cost estimate of sold tickets = sold tickets × cost of tickets per seats
= 432 × £8.75
= £3,780
Answer:
x = 200
Step-by-step explanation:
Multiply by 4:
x + 120 + 2x = 720
3x = 600 . . . . . . collect terms, subtract 120
x = 200 . . . . . . . divide by 3
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<em>Check</em>
(200/4 +30) +(200/2) = 180
(50 +30) + 100 = 180
80 + 100 = 180 . . . . . true
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<em>Alternate solution</em>
If you like, you can simply work with the equation given.
(3/4)x + 30 = 180 . . . . collect terms
(3/4)x = 150 . . . . . . . . . subtract 30
x = 200 . . . . . . . . . . . . multiply by 4/3
