Answer:

Step-by-step explanation:
Given
4
- 10
+ 7
( add the coefficients of the terms )
= (4 - 10 + 7) 
= 1
= 
Answer:
Option D, (x + 2)(x - 6)
Step-by-step explanation:
<u>Step 1: Factor
</u>
x^2 - 4x - 12
x^2 - 6x + 2x - 12
(x - 6)(x + 2)
(x + 2)(x - 6)
Answer: Option D, (x + 2)(x - 6)
To prove a similarity of a triangle, we use angles or sides.
In this case we use angles to prove
∠ACB = ∠AED (Corresponding ∠s)
∠AED = ∠FDE (Alternate ∠s)
∠ABC = ∠ADE (Corresponding ∠s)
∠ADE = ∠FED (Alternate ∠s)
∠BAC = ∠EFD (sum of ∠s in a triangle)
Now we know the similarity in the triangles.
But it is necessary to write the similar triangle according to how the question ask.
The question asks " ∆ABC is similar to ∆____. " So we find ∠ABC in the prove.
∠ABC corressponds to ∠FED as stated above.
∴ ∆ABC is similar to ∆FED
Similarly, if the question asks " ∆ACB is similar to ∆____. "
We answer as ∆ACB is similar to ∆FDE.
Answer is ∆ABC is similar to ∆FED.
Answer:
15/24
Step-by-step explanation:
hope this helps u.
Answer:
Therefore 'x' is equal to 65.4°
Step-by-step explanation:
In Right Angle Triangle ABC
∠ B = 90°
AC = Hypotenuse = 12
CB = Adjacent Side = 5
To Find:
∠ C = x
Solution:
In Right Angle Triangle ABC Cosine Identity we have

Substituting the values we get


Therefore 'x' is equal to 65.4°