In ΔMNO, \overline{MO} MO is extended through point O to point P, \text{m}\angle NOP = (7x-17)^{\circ}m∠NOP=(7x−17) ∘ , \text{m}\angle MNO = (x+20)^{\circ}m∠MNO=(x+20) ∘ , and \text{m}\angle OMN = (3x-7)^{\circ}m∠OMN=(3x−7) ∘ . Find \text{m}\angle NOP. M∠NOP

∠NOP = 53°

Step-by-step explanation:

According to exterior angle theorem,

In a triangle, an exterior angle is equal to the sum of the two opposite interior angles.

∠NOP = ∠MNO + ∠OMN

Put ∠NOP = ( 7x - 17)°, ∠MNO = (x + 20)° and ∠OMN = (3x - 7)°

Therefore,

∠NOP = ( 7(10) - 17)° = (70 - 17)° = 53°

x > 1.3

step by step:

8.5−0.9x> 9.8−1.9x

step 1: simplify both sides of the inequality.

−0.9x+8.5> −1.9x+9.8

step 2: add 1.9x to both sides.

−0.9x+8.5+1.9x> −1.9x+9.8+1.9x

1x+8.5> 9.8

step 3: subtract 8.5 from both sides.

1x+8.5−8.5> 9.8−8.5

1x> 1.3

step 4: divide both sides by 1.

1x/1 > 1.3/1

i think the amount would be $140.62