Answer:
x = 60
Step-by-step explanation:
The sum of the angles in a triangle is 180
40 + x+20 + x = 180
Combine like terms
2x+60 =180
Subtract 60 from each side
2x+60-60 =180-60
2x =120
Divide by 2
2x/2 =120/2
x = 60
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.
82. Dora bought one package of each 1-pound pork, 2-pound pork and 4-pound pork.
Thus, she got a total of:
=> 1 pound + 2 pounds + 4 pounds = 7 pounds of pork.
Question: How many ¼ pound of hamburger she can make then with this given number of pork in pounds.
=> ¼ = 1 / 4 = .25
Now, let’s divide 7 pounds by .25 pounds
=> 7 / .25 = 28
Thus, She can make 28 hamburgers in all.
The distance from a to c is ten units
