Answer:
30°
Step-by-step explanation:
TW UV
If an ARC subtends an angle in the circle (on the opposite side of the circumference), the measure of that angle will be HALF of the Arc. In other words, the Arc's measure will be DOUBLE of that angle.
The measure of the angle would be SAME if the angle subtended in the center of the circle, thought.
Now, looking at the image, we can see that:
Arc TW subtends Angle V and Angle U
*on the opposite side of the circumference*
So,
Angle V (measure given to be 30) is HALF of Arc TW, so
Arc TW = 2 * 30 = 60
So, Angle U is half of Arc TW
60/2 = 30
Hence,
<u>∠U = 30°</u>
Answer:
(5,-4) and (-5,6)
Step-by-step explanation:
Given:
Solve it. First, express y in terms of x from the second equation:
Substitute it into the first equation:
Apply zero product property:
So,
When 
then 
When 
then 
We get two solutions: (5,-4) and (-5,6)
Answer:
∠ 2 = 104°
Step-by-step explanation:
Since the trees are parallel, then
∠ 2 and 76° are same- side interior angles and are supplementary, thus
∠ 2 + 76° = 180° ( subtract 76° from both sides )
∠ 2 = 104°
Answer:
Step-by-step explanation:
By the Pythagorean Theorem we know
h^2=x^2+y^2 (where h is the hypotenuse and x and y are sides of a right triangle)
w^2+18^2=30^2
w^2=30^2-18^2
w^2=900-324
w^2=576
w=24 in
