Answer:
1. a= 7, A = 49 degrees
Side A = 7 , Side B = 24, Side C = 25
A= 49 degrees, C = 90 degrees , B=41
2. A= 4, B = 6.9, C=8
A= 22 degrees, B = 68, C= 90
3. A= 7, B = 14.4, C=16
A= 45 , B=45 , C=90
Answer:
Step-by-step explanation:
If the diagonals of the rectangle are congruent,
AC = BD
By using formula to calculate the distance between two points,
Distance between two points = 
Distance between A(0, -3) and C(2, 8),
AC = 
= 
= 
Similarly, distance between two points B(-4, 0) and D(6, 5),
BD = 
=
=
Therefore, both the diagonals are congruent.
Hence, given quadrilateral ABCD is a rectangle.
Answer: No
Step-by-step explanation:
According to triangle inequality theorem which state that: the sum of any 2 sides of a triangle must be greater than the measure of the third side.
Now let's test the given parameters if they obey this theorem
4 inches, 5 inches and 1 inch
4 + 5 = 9
9 > 1 correct
5 + 1 = 6
6 > 4 correct
4 + 1 = 5
5 not > 5 wrong
Therefore he won't be able to create the triangular component with these toothpicks without modifying any of the lengths
Answer:
( 3x -2)
Step-by-step explanation:
6x^2 – 7x + 2
We know that the constant only has factors of 1 and 2
Since the middle term is negative we know that that we are subtracting
A negative times a negative is positive for the final term
A negative plus a negative is negative for the middle term
( -1 ) ( -2)
We have to determine how to break up 6x^2
1x * 6x
2x*3x
3x*2x
6x*1x
We are given that one factor is 2x-1
( 2x -1 ) ( -2)
That means the other factor of 6x^2 is 3x ( 2x*3x)
( 2x -1 ) ( 3x -2)
Answer:
907120
Step-by-step explanation:
