we are given

we have to find theta
so, firstly we can write sin in terms of cos

now, we can set it equal

Since, both sides are cos
so, we can set angles equal

now, we can solve for theta
we get
..............Answer
Answer:
∠1=135°
∠2=45°
∠3=45°
∠4=135°
∠5=135°
∠6=45°
∠7=45°
∠8=135°
Step-by-step explanation:
→∠1=∠4[Being vertically opposite angles]
→∠4=135°
→∠1=∠5[Corresponding angles]
→∠5=135°
→∠5=∠8[Being vertically opposite angles]
→∠8=135°
→∠1+∠2=180°[Sum of linear pair]
→∠2=180°-135°
→∠2=45°
→∠2=∠3[Being vertically opposite angles]
→∠3=45°
→∠3=∠6[Alternate angles]
→∠6=45°
→∠6=∠7[Being vertically opposite angles]
→∠7=45°
8x+12=p so you would take away 12 from p making the equation 8x=p-12 and then divide that by 8 so the equation is x= p-12/8 ( x equals p minus 12 over 8)
Nine hundred thirteenths if this is a decimal
Answer:
4.5 hours
Step-by-step explanation:
distance equals rate times time, a relationship that can be solved for time:
time = distance / rate
Here the time is (135 miles) / (30 mph) = 4.5 hours
The bus requires 4.5 hours to get to the museum.