Answer:
PART A :
AREA OF RECTANGLE = LENGTH × BREADTH
A = (4x + 5) (3x + 10)
A = 12(x^2) + 55x + 50
PART B: The above is a trinomial with the second degree. Trinomial because it has 3 terms and second degree because the variable(x) is squared.
PART C : Closure under addition and multiplication. Look at the signs.
Answer: A, D, and E
Step-by-step explanation:
Basically, you want to divide each of these answers by 5. Which ever one gives you a solid number (meaning no decimals) then that would be one option.
Hope this helps!
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
If the perimeter is 13y-5, then it should be equal to all of these sides added together. So, let’s add all of the sides we already know up:
5y-4 + y + 3y+1 = 9y-3.
Now set this equal to the perimeter we already know:
9y-3 = 13y-5. Subtract 9y from both sides.
-3 = 4y-5. Add 3 to both sides.
4y-2.
Now we have the value of 4y-2. Since we know that the last two sides are completely the same, then we can divide this expression by 2.
Therefore, the remaining side is 2y-1.
Answer:
4 + 2x = 28; = 12
Step-by-step explanation:
Start with the initial fee which is $4. Then times 2 with your miles for an example: (money with miles)2 x 6(miles) and you should have $12 dollars in total 2 x 4 which equal $8 and 2x2 which equal 4...
2 x 6 = 12
2 x 4 = 8
2 x 2= 4
add all those up and you should get 28..
To check your work do
4 + 2(12) = 28
4 + 24 + 28
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