Answer:
x=9
Step-by-step explanation:
Plug in 8 for f(x)
8=2x-10
Isolate the x term by moving the 10
18=2x
Isolate the variable
9=x
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
Yes because it fits the rule of 5 cars a day so 5 cars for 5 days is 25 and 5 cars for 12 days is 5*12= 60
Pentagon=5, there will be 5 triangles and one base. area of triangle=1/2bh
1/2(8)(16)*5=320. 320 is the area of all of the triangles on the side. Since we are looking for lateral area, we need not include the base. So, the lateral area is 320 square inches.
Answer:
10 feet
Step-by-step explanation:
Given,
Volume of right cylinder = 2000 π cubic feet.
Length ( l ) = 20 feet
To find : Radius ( r )
Formula : -
Volume of right cylinder = πr²h
πr²h = 2000 π
Divide π on both sides,
r²h = 2000
r² = 2000 / h
r² = 2000 / 20
r² = 100
= 10 x 10
r²= 10²
r = 10 feet
Hence,
the radius is 10 feet.
