Answer:
90°
Step-by-step explanation:
Through point O draw a ray on left side of O which is || to AB & CD and take any point P on it.
Therefore,
∠ABO + ∠BOP = 180° (by interior angle Postulate)
118° + ∠BOP = 180°
∠BOP = 180° - 118°
∠BOP = 62°.... (1)
Since, ∠BOP + ∠POD = ∠BOD
Therefore, 62° + ∠POD = 152°
∠POD = 152° - 62°
∠POD = 90°.....(2)
∠POD + ∠ODC = 180° (by interior angle Postulate)
90° + ∠ODC = 180°
∠ODC = 180° - 90°
2x=18y
divide 2
x=9y
9y=x
divide by 9
y=1/9x
k=1/9
Answer:
Plan C
Step-by-step explanation:
Complete the table first:
To find the number of weeks for each amount of $ to save, divide $500 by the amount.
Plan B: $500/$30 = 16.7 weeks, rounded to 17 weeks
Plan C: $500/$40 = 12.5 weeks, rounded to 13 weeks
Plan D: $500/$50 = 10 weeks
Save $500 in less than 16 weeks with $20 extra:
Which plans need less than 16 weeks?
Plans C and D.
Check the amount of money Plan C gives:
In 13 weeks, how much extra money does this plan give?
Extra money = Total - $500
The total money is 13 weeks * $40 = $520
$520 - $500 = $20 in extra money
Therefore Plan C gives Todd $500 in less than 16 weeks, with $20 extra.
2 5/6 = 17.6 - hope it help
So first you would simplify 3/4(5x-3) to 3(5x-3)/4
So it would be 3(5x-3)/4+8=17
2. Subtract 8 from both sides
3(5x-3)/4=17-8
3. Then simplify 17-8 to 9
3(5x-3)/4=9
4. Multiply both sides by 4
3(5x-3)=9x4
5. Simplify 9x4 to 36
3(5x-3)=36
6. Divide both sides by 3
5x-3=36/3
Simplify 36/3 to 12
5x-3=12
8. Add 3 to both sides
5x=12+3
9. Simplify 12+3 to 15
5x=15
10. Divide both sides by 5
X=15/5
Simplify 15/5 to 3
X=3
So your answer is x=3