Subtract 6 from both sides ( subtract 6 form 6 to get 0 then subtract 6 form -4 to get 2) that’s the first step
Answer:
a) ∠2 and ∠4 are a linear pair
∠4 = 115°
b) ∠2 and ∠7 are alternate exterior angles
∠7 = 65°
c) ∠2 and ∠3 are vertical angles
∠3 = 65°
Step-by-step explanation:
Linear pair : a pair of adjacent angles formed when two lines intersect. The two angles of a linear pair are always supplementary (two angles whose measures add up to 180°)
Alternate exterior angles : when two parallel lines are cut by a transversal (a line that intersects two or more other, often parallel, lines), the resulting alternate exterior angles are <u>congruent</u>.
Vertical angles : a pair of opposite angles formed by intersecting lines. Vertical angles are always <u>congruent.</u>
a) ∠2 and ∠4 are a linear pair
⇒ ∠2 +∠4 = 180
⇒ 65 + ∠4 = 180
⇒ ∠4 = 180 - 65
⇒ ∠4 = 115°
b) ∠2 and ∠7 are alternate exterior angles
⇒ ∠2 ≅ ∠7
⇒ ∠7 = 65°
c) ∠2 and ∠3 are vertical angles
⇒ ∠2 ≅ ∠3
⇒ ∠3 = 65°
Step-by-step explanation:
By Factor Theorem, (x + 3) is a factor of H(x) if and only if H(-3) = 0.
3(-3)³ - 2(-3)² + (-3)k - 3 = 0
-81 - 18 - 3k - 3 = 0
3k = -102
k = -34.
Answer:
45). √ 147a⁴ = √ 147 × √a⁴ = <u>(7√3 )x²</u>
46.) √18x = √9 × 2x = <u>3√2x</u>
47.) √80n = √16 × 5x = √16 × √5x = <u>4√5x</u>
48.) √200x² = √200 × √x² =
√ 100× 2 × x = <u> (10√2)x</u>
49.) √256x³ = √256 × √x³ = <u> 16√x³</u>
50.) -7 √ 75x⁴ = -7√75 × √x⁴
<h3>= (- 35√3)x²</h3>
Hope this helps you
