Equation of the line in point slope form is y + 7 = -5(x - 2)
Step-by-step explanation:
- Step 1: Given slope of the line is -5 and passes through the point (x1, y1) = (2,-7). Equation in point slope form is y - y1 = m(x - x1)
⇒ y - (-7) = -5(x - 2)
⇒ y + 7 = -5(x - 2)
Answer:
The proof is derived from the summarily following equations;
∠FBE + ∠EBD = ∠CBA + ∠CBD
∠FBE + ∠EBD = ∠FBD
∠CBA + ∠CBD = ∠ABD
Therefore;
∠ABD ≅ ∠FBD
Step-by-step explanation:
The two column proof is given as follows;
Statement
Reason
bisects ∠CBE
Given
Therefore;
∠EBD ≅ ∠CBD
Definition of angle bisector
∠FBE ≅ ∠CBA
Vertically opposite angles are congruent
Therefore, we have;
∠FBE + ∠EBD = ∠CBA + ∠CBD
Transitive property
∠FBE + ∠EBD = ∠FBD
Angle addition postulate
∠CBA + ∠CBD = ∠ABD
Angle addition postulate
Therefore;
∠ABD ≅ ∠FBD
Transitive property.
D for the same reason percents
1.)18 = 2(4 + x) ||
2.) 18 = 8 + 2x --- Distribute. ||
3.) 10 = 2x --- Isolate the variable by collecting like terms ||
4.) 5 = x
I'd say A. is a good choice.