The statements that are true about the dollhouses is: 1,4,5.
<h3>True statement about dollhouse</h3>
The space inside dollhouse 1 can be found using the equation V = 6 (6) (5) + one-half (6) (6) (4).
Space inside dollhouse 1:
V = 6 (6) (5) + 1/2 (6) (6) (4)
V=180+72
V=252 inches
The space inside dollhouse 2 can be found using the equation
V = 6 (6) (5) + 1/3 (6) (6) (4)
V=180+48
V=228
The space inside dollhouse 1 is 24 inches cubed greater than the space inside dollhouse 2.
V1=252
V2=228
Hence:
252-228=24 inches cubed
V1 ≥V2
Therefore the statements that are true about the dollhouses is: 1,4,5.
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Answer:
49.4 degrees
Step-by-step explanation:
In Triangle AXY,

We want to determine the angle of elevation from the point Vera is standing to the top of the flagpole, which is the angle at V in the diagram.
In Triangle XVY
|VY|=36 feet

Therefore, the angle of elevation from the point Vera is standing to the top of the flagpole is 49.4 degree to the nearest tenth of a degree.
Answer:
The value of x = 8
Step-by-step explanation:
For better understanding of the solution, see the attached figure of the diagram :
∠1 and ∠2 are alternate exterior angle and ∠3 is adjacent to ∠2
⇒ ∠1 = (4x + 28)°
⇒ ∠3 = (14x + 8)°
Now, ∠2 + ∠3 = 180° (Linear Pair)
⇒ ∠2 = 180 - 14x -8
⇒ ∠2 = 172 - 14x
Since the alternate exterior angles formed by the transversal between two parallel lines are equal in measure.
⇒ ∠1 = ∠2
⇒ (4x + 28)° = (172 - 14x)°
⇒ 18x = 144
⇒ x = 8
Therefore, ∠1 = ∠2 = 60° and ∠3 = 120°
Hence, The value of x = 8
Answer:
They are the same because they have the same slope but are different because they have different y intercepts.
Step-by-step explanation: