Answer
Find out the value of x .
To proof
SAS congurence property
In this property two sides and one angle of the two triangles are equal.
in the Δ ADC and ΔBDC
(1) CD = CD (common side of both the triangle)
(2) ∠CDA = ∠ CDB = 90 °
( ∠CDA +∠ CDB = 180 ° (Linear pair)
as given in the diagram
∠CDA = 90°
∠ CDB = 180 ° - 90°
∠ CDB = 90°)
(3) AD = DB (as shown in the diagram)
Δ ADC ≅ ΔBDC
by using the SAS congurence property .
AC = BC
(Corresponding sides of the congurent triangle)
As given
the length of AC is 2x and the length of BC is 3x - 5 .
2x = 3x - 5
3x -2x =5
x = 5
The value of x is 5 .
Hence proved
Answer:
0.04
Step-by-step explanation:
In this case we must use the following formula to be able to find the standard error, which would be the square root, of the probability for its complement divided by the population:
SE= 
Now, knowing that p = 0.552 and n = 160 we replace and we are left with:
SE = 
SE = 
SE = 0.039
Which means that the standard error of the proportion is 0.04
Answer:
2*10 ^6 shoes in 10 years
Step-by-step explanation:
1.81 × 10^4 pairs of shoes each month
1.2 × 10^2 months in 10 years
Multiply these together to determine the number of shoes in 10 years
1.81 × 10^4 * 1.2 × 10^2
We want to estimate so 1.81 is approximately 2 and 1.2 is approximately 1
2 × 10^4 * 1 × 10^2
Multiply the numbers
2*1 = 2
Add the exponent
10 ^ ( 4+2)
10 ^6
Put this back together
2*10 ^6
Answer:
(See explanation)
Step-by-step explanation:
The function is:
Its simplified form is presented hereafter:
The resultant expression is a linear function, first-order polynomial, whose domain and range are the set of the real numbers.
