Answer:
The length would be 1.5x + 5.
Step-by-step explanation:
So first with this, note that 2 length + 2 height gives the perimeter of the rectangle.
Given this:
2(1/2x + 4) + 2(?) = 4x+18
x+8 + 2(?) = 4x+18
2(?) = 3x+10
? = 1.5x+5
1.5x + 5 = 1.5x + 5
The length would be 1.5x + 5.
To double check, by plugging in 1.5x + 5 back into the equation for the perimeter, you will get the same perimeter:
2(1.5x + 5) + 2(1/2x+4) = P
3x+10 + x+8 = P
4x + 18 = P
Answer:
It's true, if that's what your asking.
Step-by-step explanation:
5/6 = 0.833 to 3 sig.fig.
4/5 = 0.800 to 3 sig.fig.
6/7 = 0.857 to 3 sig.fig.
0.833 is more than 0.800 and less than 0.857.
Answer:
60.2 m
Step-by-step explanation:
Let x represent the width of the river. The distance from the point across from the tree to the second point is 15 m. The angle from this point to the tree across the river is 76°.
This makes the side opposite the angle x, the width of the river. It also means the 15 m side is adjacent to this angle.
The ratio opposite/adjacent is the ratio for tangent; this gives us the equation
x/15 = tan(76)
Multiply both sides by 15:
15(x/15) = 15(tan(76))
x = 15(tan(76)) ≈ 60.2
Answer:
Step-by-step explanation:
To prove Δ ABC similar to ΔDBE we can consider
Segments AC and DE are parallel.
⇒ DE intersects AB and BC in same ratio.
AB is a transversal line passing AC and DE.
⇒∠BAC=∠BDE [corresponding angles]
Angle B is congruent to itself due to the reflexive property.
All of them are telling a relation of parts of ΔABC to ΔDBE.
The only option which is not used to prove that ΔABC is similar to ΔDBE is the first option ,"The sum of angles A and B are supplementary to angle C".
