Answer:
<h2><u>
154°</u></h2>
Step-by-step explanation:
The central angle and the angle between the tangents are supplementary, so
x + 26° = 180° ( subtract 26° from both sides )
26 - 26 = 0
180 - 26 = <u>154</u>
x = <u>154°</u>
Answer:
We conclude that segment QR is the shortest.
Hence, option B is true.
Step-by-step explanation:
First, we need to determine the missing angle m∠R
Given the triangle Δ∠PQR
m∠P = 48°
m∠Q = 83°
m∠R = ?
We know the sum of angles of a triangle is 180°.
m∠P+m∠Q+m∠R = 180°
48°+83°+m∠R=180°
m∠R = 180° - 48° - 83°
m∠R = 49°
Thus, the value of m∠R = 49°
We know that the longest side in a triangle is opposite the largest angle, and the shortest side is opposite the smallest angle.
Here,
m∠P = 48° is the shortest angle.
As the side QR segment is opposite the smallest angle i.e. m∠P = 48°
Therefore, we conclude that segment QR is the shortest.
Hence, option B is true.
Answer:
0.67
Step-by-step explanation:
2/3 = 0.6666
0.6666 rounded to the nearest hundredth = 0.67
Answer:
Area = 36 
Step-by-step explanation:
There must be an error with the statement, because it is strange that the length of the frame is equal to its thickness.
Assuming that the data supplied is correct, we can do the following procedure.
Let's call L the length of the frame.
We know how much each side of the square measures.
L = 3 inches
We also know that the thickness (s) is:
s = 3 inches.
Then the area of the frame is equal to:
Area = Perimeter * thickness
Area = 4L*s
Area = 3*4*3
Area = 36
