Answer:
m<PQS = 82°
m<RQS = 59°
Step-by-step explanation:
m<PQS = (13x + 4)°
m<RQS = (10x - 1)°
m<PQR = 141°
To find each angle measure, find the value of x.
First, get an equation that defines the relationship between the angle measures as follows:
m<PQS + m<RQS = m<PQR (angle addition postulate)
(13x + 4)° + (10x - 1)° = 141°
Use the equation to solve for x
13x + 4 + 10x - 1 = 141
Combine like terms
13x + 10x + 4 - 1 = 141
23x + 3 = 141
Subtract 3 from each side of the equation
23x + 3 - 3 = 141 - 3
23x = 138
Divide each side by 23
23x/23 = 138/23
x = 6
m<PQS = (13x + 4)°
Plug in the value of x
m<PQS = 13(6) + 4 = 78 + 4
m<PQS = 82°
m<RQS = (10x - 1)°
Plug in the value of x
m<RQS = 10(6) - 1 = 60 - 1
m<RQS = 59°
Answer:
i think it’s 34
Step-by-step explanation:
Answer:
It is B, just divide by 2 and add w in the second one and you will get exactly the same equation.
Answer:
1.5 nautical miles
Step-by-step explanation:
See the attached diagram.
The submarine starts to dive at point A and diving along AB.
If the distance traveled underwater i.e. AB = 1.7 Nautical miles and C is the point directly above its current position at B.
Then Δ ABC is a right triangle having ∠ BAC = 28° {Given}
So, using trigonometry we can write
⇒
nautical miles.
Therefore, the surface distance that the submarine travels is 1.5 nautical miles. (Answer)
Answer:
The answer to your question is Brand B
Step-by-step explanation:
Data
Brand A amount of 20 pencils cost $6
Brand B amount of 40 pencils cost $8.5
Process
1.- Calculate the unit price of each brand of pencils dividing the cost by the number of pencils
Brand A 6/20 = $0.3
Brand B 8.5/40 = $0.21
2.- Conclusion
Brand B is a better deal because you buy more pencils for a lower price.