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:
6 miles(3 miles to your friend's + 3 miles back home) Step-by-step explanation:
a. What is the distance traveled by the skier during the three minutes of recreation? 360 mAdd the lengths of the three segments - 160 m + 120 m + 80 m. b. What is the net displacement of the skier during the three minutes of recreation? 120 m, EastMeasure from the starting point (A) to the ending point (D); include direction since displacement is a vector. c. What is the displacement during the second minute (from 1 min. to 2 min.)? 120 m, WestThe second minute corresponds to a movement from B to C. Measure from the starting point (B) to the ending point (C); include direction since displacement is a vector. d. What is the displacement during the third minute (from 2 min. to 3 min.)? 80 m, EastThe third minute corresponds to a movement from C to D. Measure from the starting point (C) to the ending point (D); include direction since displacement is a vector.
When you are checking your answers, your formula should read out as 9(2.222) - 8 = 12, which is simply filing in the x value that you calculated (it comes out to 11.998 which is correct). You wrote it out as 9(2.22) - 8 = -6, which is why your checking process was incorrect
Answer:
Well to find simplest terms you have to find the GCF. (greatest common factor) for the numerator and the denominator
Step-by-step explanation:
So lets say you have 4/8 they both can be divided by 2. So that is what you do. Divide by two on the numerator and the denominator to get 1/2.
Also, if you have 3/5 you can't simplify it anymore because it is already in the lowest terms.
I hope that helped. If you have any questions just ask.
