Answer: x=7 and AC = 44 unuts.
Step-by-step explanation:
We know that the diagonals of a parallelogram bisect each other. (i)
Here in parallelogram ABCD , AC and Bd are diagonals intersecting at E.
BE = 2x + 2, BD = 5x – 3, and AE = 4x – 6
Using (i)
Now , AE = 4(7)-6 = 28-6 = 22
AC =2 AE = 2 (22) =44 units.
Hence, x=7 and AC = 44 unuts.
Answer:
✔️The measure of angle <CBA is equal to the measure of angle <DBE.
✔️The measure of angle CBD is equal to the measure of angle ABE.
✔️The sum of the measures of angles CBD and CBA is 180 degrees.
Step-by-step explanation:
Vertical angles are formed when two straight lines intersect each other at a certain point. The diagram given is a typical example. This, vertical opposite angles formed are said to be congruent, that is their measures are equal to each other.
The following statements are true of the given diagram:
✔️The measure of angle <CBA is equal to the measure of angle <DBE.
(<CBA and ,<DBE are vertically opposite angles)
✔️The measure of angle CBD is equal to the measure of angle ABE.
(They are both vertically opposite angles)
✔️The sum of the measures of angles CBD and CBA is 180 degrees.
(<CBA and <CBD are supplementary angles)
Answer:
Step-by-step explanation:
-2x + 7(1/2) =15
-4x +7 =30
-4x =23
x=-23/4
Answer:
Mean = 1.9
Standard deviation = 0.6
Step-by-step explanation:
The Mean is calculate by the formula:
⇒ 
Thus Mean to the nearest tenth is 1.9
Standard Deviation is the square root of sum of square of the distance of observation from the mean.
where, 
is mean of the distribution.
Putting all values in the formula, We get
Standard Deviation = 0.597 ≈ 0.6
