Answer:
61:22:120
Step-by-step explanation:
Multiply each by 100
244:88:480
Now simply
122:44:240
61:22:120
(Just check to see or compare with others to see if answer is right)
The correct answer is 3.
The formula for the law of sines is the following:
P/sin P = Q/sin Q = R/sin R
So, if you break these up into two different equations, you will have:
P/sin P = Q/sin Q and P/sin P = R/sin R
To solve, get P alone on one side of the equation by multiplying the other side by sin P:
P = Q sin P/sin Q and P = R sin P/sin R
When you look at the answers, you'll see that the second equation is an option.
Answer:
x = 16
Step-by-step explanation:
x/4 - 1 = 3
x/4 = 3+1
x/4 = 4
x = 4*4
x = 16
Answer:
AAS postulate can be used to prove that these two triangles are congruent
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
∵ There is a pair of vertically opposite angles
∵ The vertically opposite angles are congruent ⇒ (1)
∵ There are two angles have the same mark
∴ These marked angles are congruent ⇒ (2)
∵ There are two sides have the same mark
∴ These two marked sides are congruent ⇒ (3)
→ From (1), (2), and (3)
∴ The two triangles have 2 angles and 1 side congruent
→ By using case 4 above
∴ The two triangles are congruent by the AAS postulate of congruency.
AAS postulate can be used to prove that these two triangles are congruent
