Answer:
A
Step-by-step explanation:
Given the 2 equations
4x + 5y = - 12 → (1)
- 2x + 3y = - 16 → (2)
Eliminate the x- term by multiplying (2) by 2 and adding the result to (1)
- 4x + 6y = - 32 → (3)
Add (1) and (3) term by term
11y = - 44 ( divide both sides by 11 )
y = - 4
Answer:
68 1/3, 111 2/3
Step-by-step explanation:
The sum of two supplementary angles is 180°, so ...
(x +10) +(2x -5) = 180
3x +5 = 180 . . . . . collect terms
x +5/3 = 60 . . . . . divide by 3
x = 58 1/3 . . . . . . . subtract 5/3
The first angle is ...
x +10 = 58 1/3 +10 = 68 1/3
The second angle is ...
2x -5 = 2(58 1/3) -5 = 116 2/3 -5 = 111 2/3
The angles measure 68 1/3 and 111 2/3.
Answer:
The approximated length of EF is 2.2 units ⇒ A
Step-by-step explanation:
<em>The tangent ratio in the right triangle is the ratio between the opposite side to the adjacent side of one of the acute angle in the triangle</em>
In the given figure
∵ The triangle DFE has a right angle F
∵ The opposite side to angle D is EF
∵ The adjacent side to angle D is DF
→ By using the tangent ratio above
∴ tan(∠D) =
∵ DF = 6 units
∵ m∠D = 20°
→ Substitute then in the ratio above
∴ tan(20°) =
→ Multiply both sides by 6
∴ 6 tan(20°) = EF
∴ 2.183821406 = EF
→ Approximate it to the nearest tenth
∴ 2.2 = EF
∴ The approximated length of EF is 2.2 units
In the 8th row there’s a Q and if u go sideways down it’s quadrilateral if u need more lmk!
Answer:3
Step-by-step explanation: The last 3