Answer:
Step-by-step explanation:
According to the two tangent theory, tangent MN and tangent NP, which are both from point N, are congruent.
That is, 
Solve for x
Subtract 4 from both sides
Hi there! To solve this question, we can write and solve a proportion. We put shadow/height = shadow/x. We do this, because we're looking for the height of the pole and we already know the how big the shadow of the pole is. The yards need to be converted to feet. There are 3 feet in one yard and 3 * 7/3 is 21/3 or 7 in simplest form. The pole casts a shadow 7 feet tall. Plug in the numbers like this: 3/6 = 7/x. Cross multiply the values in order to get 3x = 42. now, you divide each side by 3 to isolate the "x". When you, you get x = 14. There. The height of the pole is 14 feet. The answer is C: 14 feet.
Let
x------> Cathy's<span> ages
</span>y------> Tony's ages
we know that
x+y=65-----> x=65-y-----> equation 1
y-8=(2/5)*(x-8)-----> equation 2
substitute equation 1 in equation 2
y-8=(2/5)*(65-y-8)---> y-8=22.8-0.4y----> y+0.4y=22.8+8
1.4y=30.8-----> y=22
x=65-y-----> x=65-22----> x=43
the answer is
Cathy's ages is 43 years
Tony's ages is 22 years
Since the equation has a absolute value in it, the equation will be reflected over the axis of symmetry, which just so happens to be the y-axis in this case. (The answer is c).
Well you could round it to the 4th decimal, which would be 2.7183
That as a mixed number would be
