If n = 14m and m is 3% of b, then n is what percent of b?
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Answer:
x = 22.5°
Step-by-step explanation:
m∠DEA = 2x
DE || AB
m∠EAB = 2x - by Alternate Interior Angles
Exterior angle = 6x, which equals 2x + 4x
m∠BEA = 4x
Exterior Angle 4x = 2x + 2x
m∠B = 2x
2x + 4x + 2x = 180°
8x = 180°
x = 22.5°
<h2>Exterior Angles of a Triangle:</h2>An exterior angle of a triangle is equal to the two REMOTE angles inside the triangle.
In this example, we know that 6x has remote angles of ∠EAB and ∠BEA
We found out that m∠EAB = 2x, so m∠BEA must equal 6x - 2x or 4x
<h2>Sum of angles in a Triangle:</h2>The sum of all angles in a triangle is equal to 180°.
In this example, we found all the angles, 2x, 4x, 2x. We added all of those values to equal 8x
Since the sum of all angles = 180°:
8x = 180°
x = 180°/8
x = 22.5°
-Chetan K
Set up the following equations:
x represents car A's speed, and y represents car B's speed.
We'll use elimination to solve this system of equations. Multiply the first equation by 7:
Combine both equations:
Divide both sides by 28 to get x by itself:
The speed of car A is 80 mph.
Since we now know the value of one of the variables, we can plug it into the first equation:
Subtract 160 from both sides.
Divide both sides by 2 to get y by itself:
The speed of car B is 60 mph.
x represents car A's speed, and y represents car B's speed.
We'll use elimination to solve this system of equations. Multiply the first equation by 7:
Combine both equations:
Divide both sides by 28 to get x by itself:
The speed of car A is 80 mph.
Since we now know the value of one of the variables, we can plug it into the first equation:
Subtract 160 from both sides.
Divide both sides by 2 to get y by itself:
The speed of car B is 60 mph.