Answer:
A) Central angle has same measure as intercepted arc.
- mCE = mCD + mDE = 20° + 90° = 110°
B) Opposite angles of cyclic quadrilateral are supplementary.
- mRL = 2*m∠PQR - mPL = 2*74° - 72° = 76°
- m∠QPL = (1/2)mQRL = (1/2)(90° + 76°) = 83°
- m∠QRL = 180° - m∠QPL = 180° - 83° = 97°
- mQP = 360° - (90° + 76° + 72°) = 122°
C)
- m∠MLN = m∠MRN as same arc MN is intercepted
- m∠LMN is right angle as opposite side is diameter.
- ∠MNL is complementary with ∠MLN which is same as ∠MRN
- m∠MNL = 90° - 47° = 43°
D) Tangent secant angle is half of the intercepted arc.
<em>It seems wrong. Should be mQP instead of mQR</em>
- mQP = 2*m∠RQP = 2*74° = 148°
To find the equation of a line using two coordinate points, use the slope intercept formula, (y2-y1)/(x2-x1). Using this formula, plug in your values from the two coordinates (-5, -5) and (1, -3). This would look like this:
(-3-(-5))/(1-(-5))
When simplified, you should get 2/6 or 1/3 as your slope or m value. Now that you have your slope, now use your slope intercept equation y=mx+b and plug in your known values. Since you know the m value is 1/3 and you can use one of your set of points to plug into the x and y values, you can plug in these values and solve for b (the coordinate you use doesn't matter but I'm just using the (1,-3)). This would look like this:
-3=1/3(1)+b
When you simplify, you should get -3=1/3+b and when you subtract both sides by 1/3, you should get b=-10/3.
Now that you have your m and b values, you can conclude that your equation for the line would be y=1/3x-10/3
Answer:1.08
Step-by-step explanation:just multiply it together
Answer:
Appears to be A with a typo.
Should be 
Step-by-step explanation:
To evaluate or simplify expressions with exponents, we use exponent rules.
1. An exponent is only a short cut for multiplication. It simplifies how we write the expression.
2. When we multiply terms with the same bases, we add exponents.
3. When we divide terms with the same bases, we subtract exponents.
4. When we have a base to the exponent of 0, it is 1.
5. A negative exponent creates a fraction.
6. When we raise an exponent to an exponent, we multiply exponents.
7. When we have exponents with parenthesis, we apply it to everything in the parenthesis.
We will use these rules to simplify.
