x = 45°
Solution:
Given data:
Measure of larger arc = 152°
Measure of smaller arc = 62°
<em>If a tangent and a secant intersect at the exterior of a circle then the measure of angle formed is one-half the positive difference of the measures of the intercepted arcs.</em>



⇒ x = 45°
The value of x is 45°.
Answer:
The sum of the two leg measures equals the hypotenuse.
Step-by-step explanation:
The answer choice "The measure of the hypotenuse squared is equal to the sum of the side measures squared" is true because it is the Pythagorean Theorem.
The other two answer choices basically describe what a hypotenuse is.
Really ! What are you going to do when the moment comes
on an exam when you have to do it on your own ?
<u>(1/4) (8x + 16) = -10</u>
Multiply each side by 4 :
8x + 16 = -40
Subtract 16 from each side:
8x = -56
Divide each side by 8 :
<u>x = -7</u>
We are given x so we can plug it in to the first equation to find y
11 - y = 6
We don’t want y to be negative so we subtract y from both sides
11 = 6 + y
Now we can subtract 6 from both sides
5 = y
Given:
Consider the line segment YZ with endpoints Y(-3,-6) and Z(7,4).
To find:
The y-coordinate of the midpoint of line segment YZ.
Solution:
Midpoint formula:

The endpoints of the line segment YZ are Y(-3,-6) and Z(7,4). So, the midpoint of YZ is:



Therefore, the y-coordinate of the midpoint of line segment YZ is -1.