Answer:
A = 14 m^2
Step-by-step explanation:
The area of a trapezoid is found by
A = 1/2 (b1+b2) *h where b is the length of the bases and h is the height
A = 1/2 (2+5) *4
A = 1/2(7)4
A = 14 m^2
There are 5 even numbers from 1 to 10.
The number of ways to draw all even numbers is 5!/(2!*3!) = 10
The number of ways to draw from the hat is 10!/(7!*3!) = 128
Therefore the probability is 10/128 = 5/64 or roughly 7.81%
Answer:
Step 2 contains error in the given problem.
Step-by-step explanation:
Given expression is:

Step 1: identifying the LCM.
The LCM identified is 6.
This step is correct.
In the next step, we multiply the LCM with each term of the equation.
Step 2:

However,
In the given solution, the LCM is not multiplied with each term.
Hence,
Step 2 contains error in the given problem.
Answer:
The slopes are

Therefore, the equations are equations of <u> Perpendicular Lines .</u>
Step-by-step explanation:
Given:
......................Equation ( 1 )
..............Equation ( 2 )
To Find:
Slope of equation 1 = ?
Slope of equation 2 = ?
Solution:
On comparing with slope point form

Where,
m = Slope
c = y-intercept
We get
Step 1.
Slope of equation 1 = m1 = 
Step 2.
Slope of equation 1 = m2 = 
Step 3.
Product of Slopes = m1 × m2 = 
Product of Slopes = m1 × m2 = -1
Which is the condition for Perpendicular Lines
The slopes are

Therefore, the equations are equations of <u> Perpendicular Lines . </u>
Answer:
Segment DF
Step-by-step explanation:
The corresponding vertices are in the same order in both triangles.
ABC
DEF
Segment AC is congruent to segment DF.