Answer:
x=3 and y=4
Step-by-step explanation:
The opposite sides of a parallelogram are congruent, or equal.
Therefore, (4x+6) = (7x-3) and (4y-3) = (3y+1)
4x+6 = 7x-3 –– Subtract 4x from both sides
6=3x-3 –– Add 3 to both sides
9=3x –– Divide both sides by 3 to get x alone
3=x
4y-3 = 3y+1 –– Subtract 3y from both sides
y-3=1 –– Add 3 to both sides
y=4
Check by substituting:
4(3)+6 = 7(3)-3
12+6 = 21-3
18 = 18
4(4)-3 = 3(4)+1
16-3 = 12+1
13 = 13
TQRS is an inscribed quadrilateral.
5 x - 52° + 3 x + 40° = 180°
8 x - 12° = 180°
8 x = 180° + 12°
8 x = 192°
x = 192° : 8 = 24°
m∠ R = 3 · 24° + 40° = 112°
m∠ T = 5 · 24° - 52° = 68°
m∠ S = 360° - ( 68° + 68° + 112° ) = 112°
Answer:
m∠R, m∠S, m∠T = 112°, 112°, 68°.
8 - Percentage decrease =
8 - (25% × 8) =
8 - 25% × 8 =
(1 - 25%) × 8 =
(100% - 25%) × 8 =
75% × 8 =
75 ÷ 100 × 8 =
75 × 8 ÷ 100 =
600 ÷ 100 =
6
1)choice number 1. 2)choice number 2. 3)choice number 1. 4)choice number 3.
Answer:
points at (2,6) (3,9) (7,21) (8,24)
Step-by-step explanation: