Consider the given equations:
The first equation is as:
So, 
= 
Multiplying the given fractions, we get as
= 
Now, consider the second equation as:
Multiplying by '3' to both the sides of the equation, we get
So, the number which best completes both the equations is .
Answer:
x = 1/3
Step-by-step explanation:
Step 1: Write equation
8x + 11 = 14 - 1x
Step 2: Solve for <em>x</em>
- Simplify: 8x + 11 = 14 - x
- Add x to both sides: 9x + 11 = 14
- Subtract 11 on both sides: 9x = 3
- Divide both sides by 9: x = 3/9
- Simplify: x = 1/3
Step 3: Check
<em>Plug in x to verify it's a solution.</em>
8(1/3) + 11 = 14 - 1(1/3)
8/3 + 11 = 14 - 1/3
41/3 = 41/3
Answer:
The method would use to prove that the two Δs ≅ is AAS ⇒ D
Step-by-step explanation:
Let us revise the cases of congruence:
- SSS ⇒ 3 sides in the 1st Δ ≅ 3 sides in the 2nd Δ
- SAS ⇒ 2 sides and including angle in the 1st Δ ≅ 2 sides and including angle in the 2nd Δ
- ASA ⇒ 2 angles and the side whose joining them in the 1st Δ ≅ 2 angles and the side whose joining them in the 2nd Δ
- AAS ⇒ 2 angles and one side in the 1st Δ ≅ 2 angles and one side in the 2nd Δ
- HL ⇒ hypotenuse and leg of the 1st right Δ ≅ hypotenuse and leg of the 2nd right Δ
In the given figure
∵ The two triangles have an angle of measure 30°
∵ The two triangles have an angle of measure 70°
∵ The two triangles have a side of length 10
∴ The two triangles have two equal angles and one equal side
→ By using rule 4 above
∴ The two triangles are congruent by the AAS rule
∴ The method would use to prove that the two Δs ≅ is AAS
Since only 1/10 arrived, you multiply this number by 4,000 which gives you 400. The answer is 400.
Answer: $5.99 is the answer hope this helps!
