Answer: 47/25, The simplest form is 47/25, mixed number version is 1 22/25
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Step-by-step explanation: Please mark as brainliest!
<span>-1<0
so use 2x+1
2(-1)+1=-2+1=-1
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</span><span>F(-1) means "Evaluate F(x) when x=-1"
Since -1 is less than 0, this means that F(x) = 2x+1. This is because F(x) = 2x+1 when x < 0</span>
Answer:
they both will have a product containing the number three and they are different because .3 times .01 will have a lesser amount for a product
Step-by-step explanation:
Because two angles are equal, sides AB and AC will have equal lengths, and so, we can set each expression equal to each-other.
4x + 4 = 6x - 14
Subtract 4x from both sides.
4 = 2x - 14
Add 14 to both sides.
18 = 2x
Divide both sides by 2.
x = 9.
Because we have a constant value of x, we can solve for BC.
BC = 2x + 7
2(9) + 7
18 + 7
25
<h3>The value of BC is 25.</h3>
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
