Answer:
m∠N = 32°
NQ = 106°
When finding inscribed angles like ∠N with the intercepted arc, the equation is ∠N=1/2MP. (Inscribed angles are always half the degree of the arc length.) Plug in the corresponding value to get ∠N=1/2(64) to get 32°. When finding the angle of the intercepted arc with inscribed angles like NQ, the equation is NQ=2(∠P). Plug in the corresponding value to get 2(53) to get 106°.
Ok so we’ll put the first equation into slope int form
4y=2x-9
y=1/2x -4/9
since the likes are parallel, the slope of the line we are trying to write an equation for is 1/2
equation:
y-2=1/2(x-7)
Something that you should remember is that the sum of the angles of a triangle add up to 180°.
Since we are given 100° and that the other two angles are equal, we can set up an equation like this:
, where x is the 2 angles.
Doing the math, the measure of each unknown angles is 40°.
Answer:
32
Step-by-step explanation:
8/100 x 4
=
32/400
Answer:
<h3>6 feet</h3>
Step-by-step explanation
Using the pythagoras theorem;
Given
The length of the flag pole = 8 feet = opposite side
Length of the rope = 10 feet = hypotenuse
To determine how far out on the ground he need to secure the rope from the flagpole so that the rope is tight, we need to look for the adjacent. Using the equation
hyp² = opp² + adj²
10² = 8² + adj²
adj² = 100-64
adj² = 36
adj = √36
adj = 6feet
Hence the rope should be placed 6feet out of the ground
