Let's say that FH and EG intersection is O,
So we have the following:
OF = 2
OH = 5
Just because F and H are midpoints it means that EO = OG = x
And as it's given the area S=35
On the other hand
S = OF*OG/2 + OG*OH/2 + OH*OE/2 + OE*OF/2 = 2*x/2 + x*5/2 + 5*x/2 + x*2/2 = 2*x + 5*x = 7*x = 35
7x = 35 so x = 35/7 = 5
Answer: 5 units
X=-1
12/-4=-3
-3+2=-1
The correct answer is -1
Answer:
Option B is correct.
Step-by-step explanation:
We have given a triangle ABC and EDC please look at the figure
We can see that AE and BD are transversal therefore, ∠EAB=∠AED being alternate interior angles
And ∠ACB=∠DCE are vertically opposite angles hence, equal
So, by AA similarity postulate the above to triangles are similar
ΔABC 
ΔEDC
Therefore, Option B is correct that is Triangle ABC is similar to triangle EDC , because m∠3 = m∠4 and m∠1 = m∠5
NOTE: m∠3 = m∠4 corresponds to m∠ACB=m∠DCE
And m∠1 = m∠5 corresponds to m∠EAB=m∠AED
Answer:
The multiplicative inverse of 1/2 is 2.
Answer:
(x - 1) (x + 2) (x + 4)
Step-by-step explanation:
Factor the following:
x^3 + 5 x^2 + 2 x - 8
The possible rational roots of x^3 + 5 x^2 + 2 x - 8 are x = ± 1, x = ± 2, x = ± 4, x = ± 8. Of these, x = 1, x = -2 and x = -4 are roots. This gives x - 1, x + 2 and x + 4 as all factors:
Answer: (x - 1) (x + 2) (x + 4)
