Answer:
A. 23+x=140
Step-by-step explanation:
The angle addition postulate states that the measure of a larger angle formed by two or more smaller angles placed side by side is the the sum of the smaller angles. The angle addition postulate states that if B is in the interior of AOC , then:
m∠AOB + m∠BOC = m∠AOC.
From the image:
∠NOP = ∠NOQ + ∠QOP
∠NOP = 140, ∠NOQ = x, ∠QOP = 23
substituting:
140 = x + 23
x = 140 - 23 = 117
∠NOQ = 117°
Answer:
1: 7/12 2:1/3 3:1/2 4:1/3 5:5/8 6:1/2 7:6/10 8:1/1 9:1/4
Step-by-step explanation:
lo saque de otro trabajo igual.
You are having a birthday party and invited 38 people. Each table you rented only sits 5 people.
How many tables would you need to rent for everyone to have a place to sit? <span>You would have to rent the 8th table for the remaining 3 people to sit at. </span>
Answer:
6.5 cm
Step-by-step explanation:
Here, <em>the tangent line squared is equal to the secant line times the secant line outside the circle</em>.
That is <em>20.2² = 14.7 * (14.7 + 2x)</em> --> it is 2x because the secant goes through <em>the whole circle</em>.
Simplify: <em>408.04 = 216.09 + 29.4x</em>
Subtract: <em>191.95 = 29.4x</em>
Divide: <em>x = 6.528911565</em> ≈ 6.5 cm
