Answer:
The third option is the answer.
Step-by-step explanation:
These triangles are clearly not congruent because they have different side length so the first 2 options are wrong.
Since both triangles already share a right angle. The other two angles in both triangles must both add up to 90.
It is given to use that sin z=cos w. That doesn't mean that angle z= angle w.
Consider a two similar two 30-60-90 triangles We are given the 90 degree right angle in both triangles. We are also given one 60 degree angle in one and a 30 degree triangle in one.
But they have two different angle measures.
However, by triangle interior theorem. The third angle must be
equal to the other corresponding angle of the other triangle. So angle z corresponds with Angle X.
By the AA theorem, The triangles are similar.
The third option is the answer.
That point slope equation given does not pass through those points, the point slope equation y + 7 = -0.4(x - 10) does, though. The standard form of that would be
2x + 5y = -15
You can get that by distributing the -0.4 out
y + 7 = -0.4x + 4
You can then add 0.4x to both sides, and subtract 7 from both sides to get
0.4x + y = -3
Now some teachers may accept this, but in correct standard form the coefficient of x is a whole number, so you have to multiply both sides by 5 to get rid of the decimal, and you get
You are allowed to move the decimal points before dividing with decimals because then, you will be able to divide by a whole number outside the dividend. Move the decimal point so that you are dividing by a whole number.
106.81cm is the circumference of the tire