Answer:
Step-by-step explanation:
note : distance between A(X1,Y1) an B (X2,Y2) is :
AB= √((X2 - X1)² + (Y2 - Y1)²)
in this exercice : X1 = -3 X2 = - 4 Y1 = 5 Y2 = 1
continue .....calculate AB
To find the equation of the line, we need to figure out the slope and y-intercept.
To find the y-intercept, look at the number where the line intersects the y-axis. The number is 5. The equation so far is y = ?x + 5.
We still didn't figure out the slope yet. To figure out the slope, pick two points. Use the rise over run method. It is in the image below. The line is going up to the left, so the slope will be negative. Now we know the slope is -1/3. The equation now that we figured out the slope is y = -1/3x + 5.
I hope this helps you! Let me know if I got something wrong.
a) ∠PQR=65° (alternate interior angles theorem)
∠PRQ = 60° (linear pair)
x = 55° (angles in a triangle add to 180°)
b) ∠APQ and ∠PQR are congruent alternate interior angles.
Answer:

Step-by-step explanation:
Method 1: Using a calculator <em>instead</em> of the unit circle
The unit circle gives coordinates pairs for the <em>cos</em> and <em>sin</em> values at a certain angle. Therefore, if an angle is given, use a calculator to evaluate the functions at cos(angle) and sin(angle).
Method 2: Using the unit circle
Use the unit circle to locate the angle measure of 150° (or 5π/6 radians) and use the coordinate pair listed by the value (see attachment).
This coordinate pair is (-√3/2, 1/2).
Answer:
The correct answer is A

Step-by-step explanation:
We want to determine the decimal equivalence of
.
We perform the long division as shown in the attachment.
Note that in carry out the long division, the denominator which is 3, will be outside the long division sign, while the numerator which is
, will be inside the long division sign.
We see that the quotient of our long division is
.
We can rewrite this as 
Therefore
.