Answer: 5
Step-by-step explanation:
First let’s call the square shape A and the rectangle shape B.
To find the area of shape A you do 24 x 24 = 576cm squared
To find the area of shape B you do 40 x 24 = 960cm squared
To find the total area you just add the two areas together
576 + 960 = 1536cm squared
Answer:
C) horizontal compression and reflection across the y-axis
Step-by-step explanation:
To quickly solve this problem, we can use a graphing tool or a calculator to plot the equation.
Please see the attached image below, to find more information about the graph
The original equation is:
f(x) = 2x
The new equation is:
f(-5x) = 2(-5x)
f(-5x) = -10*x
The answer is
C) horizontal compression and reflection across the y-axis
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: When you multiply by 0.1 it is the same as dividing by 10. So it gives you a product that is less than 37.4.
