Answer:
The input value is x=1
Step-by-step explanation:
we know that
The intersection point both graphs is the point that produces the same output value for the two functions
Observing the graph
The intersection point is (1,1)
therefore
For x=1 (input value)
The output value for the two functions is equal to 1
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
Answer:
x = 8, y = 4
Step-by-step explanation:
To find x use the sine ratio in the right triangle and the exact value
sin60° = 
, thus
sin60° = 
= 
= ( cross- multiply )
x × 
= 8 ( divide both sides by )
x = 8
--------------------------------------------------------------
To find y use the tangent ratio in the right triangle and the exact value
tan60° = , thus
tan60° = 
= 
= ( multiply both sides by y )
4 = y × ( divide both sides by )
y = 4
12 oz box o rice divided by 1.93 = 16 cents per oz
6 oz box o rice divided by .90 = 15 cents per oz
9 oz box o rice divided by 1.25 = 13 cents per oz.
The third option is the most cheapest.
Hope this helps!!!
