P r o p o r t i o n s
3:4 = 7
3/198 = 7/x
solve for x using cross multiplying
3/198 = 7/x
198(7) = 3x
1386 = 3x
/3 /3
462 = x
Therefore, there are 462 workers.
Proof:
3/198 = 4/x
198(4) = 3x
792 = 3x
/3 /3
264 = x
264 + 198 = 462.
264 / 4 = 66
198 / 3 = 66
462 / 7 = 66
<u>Answer:</u> 40
<u>Reasoning:</u> 34/.85= 40
40x.85=34
Hello!
Tangent lines have only one point on the circle, meaning they form straight angles with the edge of the circle. The radius goes from the center of the circle to the point where the tangent line is on circle, creating a right angle.
Answer:
90°
Answer:
m∠SQR = 74°
Step-by-step explanation:
Points P, Q and R are collinear.
Therefore, angles PQR and angle RQS are the linear pair of angles.
Since linear pair of angles are supplementary angles.
m∠PQR + m∠RQS = 180°
By substituting the measures of the given angles,
(3m + 1) + (2m + 4) = 180
5m + 5 = 180
5m = 180 - 5
5m = 175
m = 
m = 35
Since, m∠SQR = (2m + 4)°
= (2×35) + 4
= 74°
Therefore, m∠SQR = 74° is the answer.
Answer:
x+5/x+3
Step-by-step explanation: