Given : - Square ABCD with side 3. E and F as midpoints.
To find : - area of EBFD
Solution : - We have, area of square ABCD = 3 x 3 = 9 units.
Thus, (ar)EBFD = ar ABCD - ar DAE - arDCF
arDAE = 1/2 x base x height
=1/2 x 1.5 x 3 ( AE is 1/2 of AB = 1.5, DA is altitude)
= 2.25
arDFC = 1/2 x base x height
= 1/2 x 1.5 x 3 (FC is 1/2 of BC, DC is altitude)
= 2.25
Thus, (ar) EBFD = arABCD - arDAE - arDCF
= 9 - 2.25 - 2.25
= 4.5 units.
Thus, area of quad EBFD is 4.5 units.
Answer:
Part A
Add Like terms
6x + 2x + 13 = 3x - 12
8x + 13 = 3x - 12
get x on the left side
5x + 13 = -12
Subtract 13 from both sides
5x = -13 -12
5x = -25
Divide both sides by 5
x = -5
Step-by-step explanation:
Answer: The formula to find the speed of the Ford could be F = B - 20.
Since the Ford is 20 mph slower than the Buick, all you have to do is subtract 20 from the speed of the Buick. We know the speed of the Buick, it is 65.
Therefore, the speed of the Buick is 65 - 20 or 45 mph.
Answer:
No, Isiah is not correct. The GCF of the coefficients is 1, and there are no common variables among all three terms of the polynomial. 5b4 is a factor of -25a2b5 and -35b4, but not a3. Additionally, a2 is a factor of a3 and -25a2b5, but not -35b4
Answer:
y = 7
Step-by-step explanation:
calculate the slope m using the gradient formula
m = ( y₂ - y₁ ) / ( x₂ - x₁ )
with (x₁, y₁ ) = (- 5, 10) and (x₂, y₂ ) = (3, y)
m = =
For this to equal -
since the denominators are equal, equate the numerators
y - 10 = - 3 ( add 10 to both sides )
y = 7