Answer:
AB and CD are parallel segments,Two lines are parallel if their slopes are equal and they have different y-intercepts
Step-by-step explanation:
6x+3y=9, y=-2x+3
4x+2y=8. y=-2x+4
Answer:
Standard Deviation = 5.928
Step-by-step explanation:
a) Data:
Days Hours spent (Mean - Hour)²
1 5 61.356
2 7 34.024
3 11 3.360
4 14 1.362
5 18 26.698
6 22 84.034
6 days 77 hours, 210.834
mean
77/6 = 12.833 and 210.83/6 = 35.139
Therefore, the square root of 35.139 = 5.928
b) The standard deviation of 5.928 shows how the hours students spend outside of class on class work varies from the mean of the total hours they spend outside of class on class work.
7. 11
8. 21.5
9. 9
10. 35-12 =x and x = 13
11. 8 and 9
Answer:
126 tickets (adults and student)
Step-by-step explanation:
Since 24 senior tickets were sold, 24 divided by 2 (from the senior to adult ratio) is 12. Now 3 times 12 is 36, so we've figured out the first part. The ratio for senior tickets to adults tickets is 24:36. Now, if there were 36 adult tickets sold, then 36 divided by 6 (from the adult to senior ratio) is 6. 15 (from the adult to senior ratio) times 6 is 90. That means 90 student tickets were sold. Since the question is "how many adults and student tickets were sold altogether?" (keyword, altogether), we'll add the two. 36 plus 90 is 126, so that means the final answer is 126.
Answer:
x= 81°, z= 99°, y°=68°
Step-by-step explanation:
considering the part of the triangle where 36° , 63° and x° is located as ΔABC.
to find the measure of x we use angle sum property.
We know that the sum of the angles of a triangle is always 180°. Therefore, if we know the two angles of a triangle, and we need to find its third angle, we use the angle sum property. We add the two known angles and subtract their sum from 180° to get the measure of the third angle.
so,
∠A + ∠B +∠C = 180°
36° + 63° + x° = 180°
99° + x° = 180°
x° = 180 - 99
x° = 81°
When two lines intersect each other at a single point, linear pairs of angles are formed. If the angles so formed are adjacent to each other after the intersection of the two lines, the angles are said to be linear. If two angles form a linear pair, the angles are supplementary, whose measures add up to 180°.
x° + z° = 180°
81° + z = 180°
z= 180 - 81
z= 99°
considering the next part of the triangle where 13° , z° and y° is located as ΔACD
to find the measure of y we use angle sum property.
∠A + ∠C + ∠D = 180°
13° + z° + y° = 180°
13°+99°+y°= 180°
112°+ y° = 180°
y°= 180- 112
y° = 68°