Answer:

Step-by-step explanation:
step 1
Find the value of x
we know that
If two triangles are similar, then the ratio of its corresponding sides is proportional and its corresponding angles are congruent
In this problem we have that
∆EGF~∆EML
so

substitute the given values

solve for x



step 2
Find MG
we know that

substitute

Answer:
10 units
Step-by-step explanation:
7-7=0
3-(-7)=10
Answer:
The roots are;
x = (2 + i)/5 or (2-i)/5
where the term i is the complex number representing the square root of -1
Step-by-step explanation:
Here, we want to use the completing the square method to solve the quadratic equation;
f(x) = -5x^2 + 4x -1
Set the function to zero
0 = -5x^2 + 4x - 1
So;
-5x^2 + 4x = 1
divide through by the coefficient of x which is -5
x^2 - 4/5x = -1/5
We now take half of the coefficient of x and square it
= -2/5^2 = 4/25
add it to both sides
x^2 - 4x/5 + 4/25= -1/5 + 4/25
(x- 2/5)^2 = -1/5 + 4/25
(x - 2/5)^2 = -1/25
Take the square root of both sides
x - 2/5 = √( -1/25
x - 2/5 = +i/5 or -i/5
x = 2/5 + i/5 or 2/5 - i/5
Answer:
this an example not the answer i don't know the answer
E is between D and F.
Given: E is between D and F
Prove: DE = DF − EF.
Statements Reasons
1. E is between D and F Given
2. D, E, and F are collinear points, and E is on ¯DF Definition of between
3. DE + EF = DF Segment Addition Postulate
4. DE = DF − EF Subtraction property of equality
2. If →BD divides ∠ABC into two angles, ∠ABD and ∠DBC, then m∠ABC = m∠ABC - m∠DBC.
Step-by-step explanation: