Answer:
70°
Step-by-step explanation:
Connect the center of the circle with endpoints of the chord. Let the center of the circle be point O and endpoints of the chord be points A (let point A lie on the tangent line too)and B.
From the figure, central angle AOB has the measure of 220°.
Consider triangle AOB. This triangle is isosceles triangle because OA and OB are both radii. In this triangle the measure of angle AOB is 360° - 220° = 140°.
Angles OAB and OBA are angles adjacent to the base AB, so they are congruent. The sum of the measures of all interior angles in triangle is always 180°, so
m∠OAB + m∠OBA + m∠AOB = 180°
m∠OAB = m∠OBA = 1/2 (180° - 140°)
m∠OAB = 20°
Since drawn line is tangent line, then OA is perpendicular to this tangent line and
x° = 90° - 20°
x° = 70°
It would last 13.5 weeks because you would make a proportion:
12/16 = x/18 and then cross multiply. You would get 216=16x, then you have to divide both sides by 16 to get x = 13.5
Answer:
$43.95
Step-by-step explanation:
15/100 × 293
= 43.95
Answer:
p > 5 and p <-8
Step-by-step explanation:
To solve this, you first need to isolate p.
First add 6 on both sides of the equation:
Then subtract 3 from both sides of the equation.
The divide both sides by 2.
Another solution is possible because of the absolute value.
If 
Then 
<em>Thus we can solve the second solution:</em>
Isolate P again by subtracting both sides by 3
Then divide both sides by 2:
