Answer:
see below
Step-by-step explanation:
Angle ACE = DCE since they are vertical angles
Angle A = Angle E parallel lines cut by a transversal form congruent alternate interior angles
Angle B = Angle D parallel lines cut by a transversal form congruent alternate interior angles
When all three angles are equal, the triangles are similar.
We can use ratios to find DE
DE CE
------- = ----------
AB AC
DE 8
------- = ----------
12 10
Using cross products
10 DE = 8*12
10 DE = 96
Divide by 10
DE = 9.6
To solve 1/8x = -5 , you will need to multiply both sides of the equation by 8. once you do that you will get the answer:
x= -40
let me know if you have any other questions
:)
Step 1: Flip the equation.
−
x
+
4
=
−
8
Step 2: Subtract 4 from both sides.
−
x
+
4
−
4
=
−
8
−
4
−
x
=
−
12
Step 3: Divide both sides by -1.
−
x
−
1
=
−
12
−
1
x
=
12
Answer:
x
=
12
Set up the proportion with the numbers on top equalling the cars and the numbers on the bottom representing the trucks.

c equals the number of unknown cars.
To solve the proportion, cross multiply (multiply 8 by 9 and 36 by c) and solve for c.
72 = 36c
Divide 36 from both sides to get the answer.
c = 2
If there are 9 trucks, there are 2 cars.
You can check this by dividing 2 by 9, and dividing 8 by 36. Since they both equal the same number, this answer is correct.
Hope this helps =)
Answer:
A. f(x)=9x+4
Step-by-step explanation:
Function is f(x) =9x+4, because if x=1, then f(1)=9*1+4=9+4=13;
if x=5,then f(5)=9*5+4=45+4=49