Answer:
Value of x =20
Step-by-step explanation:
Given: EF = 9x+14 units , FG = 56 units and EG = 250 units.
Segment Addition Postulates states the following for 3 points that are collinear.
i.e, Let three points A, B and C are collinear and B is between A and C.
i,e AC = AB + BC
By Segment addition postulates; solve for x;
EG = EF + FG
Substitute the given values we get;
250 = 9x + 14 + 56
or
250 = 9x + 70
Subtract 70 on both sides we get;
250 -70 = 9x + 70 -70
Simplify:
180 = 9x
Divide both sides by 9 we get;
Simplify:
x = 20
Therefore, the value of x =20
Answer:
r < 3/2 or r < 1.5
Step-by-step explanation:
-8r - 9 > 21
-8r > -21 +9
-8r > -12
divide both sides by -8
= r < 3/2 or 1.5
(2/5)(x-1)<(3/5)(x+1) perform indicated multiplications
(2x-2)/5<(3x+3)/5 multiply both sides by 5
2x-2<3x+3 add 2 to both sides
2x<3x+5 subtract 3x from both sides
-x<5 divide both sides by -1 (remember to reverse direction of inequality sign when multiplying/dividing by a negative value)
x>-5
The median of grouped data is the middle number in an organized data set, so basically you need to organize all the numbers from lowest to greatest and find the middle number, which is 6.
