Answer:
Similar triangles states the length of the corresponding sides are in proportion.
In a given similar triangles:
Labelled the diagram:
Triangle BAC and triangle DAC are similar.
then;
Corresponding sides:
AB = x units , BC = 5 units, AD = 15 units and DC = BD-BC = 8-5 = 3 units

By cross multiply we get;

Simplify:

Divide both sides by 3 we get;

Simplify:
x = 25 units
Therefore, the value of x is 25 units.
Answer:
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Step-by-step explanation:
The answer is 1,7,21,35,35,21,7,1
Answer:
A. 
Step-by-step explanation:
So to get the area of a square, we need to find the length of one side.
We know the length of the larger square is a, so the area of the larger cube is 
We can find the length of a side of the smaller square by using pythagoreans theorem to find the hypotenuse of the triangle formed in the bottom left corner. The length of one side along the x axis is a - b, and the length of the other side, along the y-axis, is b.
We can plug it into pythagoreans theorem to get
(C represents the length of one side of the smaller square, and the hypotenuse of the triangle)

The area of the smaller triangle is C squared to the area of the smaller triangle is

To get the ratio of the smaller square in comparison to the larger square we divide the area of the smaller square by the area of the larger square.
So the ratio should be

A driver can be jailed up to one year and fined up to $5,000 if he or she refuses to bring his or her vehicle to a stop when given a visual or an audible signal by a police officer.
Answer: Option B
<u>Step-by-step explanation:</u>
This Vehicle codes 2800.1 state a violation or avoidance of police. The rules as follows: "Any person who, while driving a motor vehicle and intentionally avoiding it, intentionally escapes or attempts to escape from a peace officer " Any driver who "intentionally fails or refuses to stop the vehicle or otherwise, an attempt to escape or prosecute the pursuing police officer when he receives a visual and audible signal to stop the vehicle.
"Visual and audible" signals include sirens, lights, hand signals and voice commands. You must have been able to hear and / or see these signals to be accused of escaping and attempting to escape from the police. This is a level II or level 3 crime, and any penalties for those fleeing or trying to avoid a police officer will depend on the scale of the crime they are suspected of.
- Second-Degree Misdemeanour - in jail maximum of 2 years and fine max. of $5,000
- Third-Degree Felony - in jail maximum of 7 years and fine max. of $15,000.