Answer:
m∠S=30°
m∠T=60°
m∠P=90°
Step-by-step explanation:
we know that
The sum of the interior angles in a triangle must be equal to 180 degrees
so
In the triangle STP
m∠S+m∠T+m∠P=180° ----> equation A
m∠T=2(m∠S) ----> equation B
m∠P=3(m∠S) ----> equation C
Solve the system of equations by substitution
Substitute equation B and equation C in equation A
m∠S+2(m∠S)+3(m∠S)=180°
Solve for m∠S
6m∠S=180°
m∠S=30°
<em>Find m∠T</em>
m∠T=2(m∠S)
m∠T=2(30°)=60°
<em>Find m∠P</em>
m∠P=3(m∠S)
m∠P=3(30°)=90°
You just have to find the angle whose sine is 0.1045. Use the sin-1 key on your calculator ( make sure its set to degrees first)
m < B = 6.000 degrees to nearest thousandth
Answer:
Step-by-step explanation:
Factor top and bottom.
The numerator is a difference of two squares, and the denominator is a quadratic.
= 
= 
If x does not equal -1 and does not equal 4, we can cancel the common factors in italics to give
= 
=
Answer:
[x-h]^2 + [y-k]^2 =r^2
Step-by-step explanation:
Let x and y be an arbitrary point along the circle
The equation of the circle is given as:
[x-h]^2 + [y-k]^2 =r^2
