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
is given that ∠B ≅ ∠C. Assume AB and AC are not congruent. If AB >
AC, then m∠C > m∠B by <span><span>the triangle parts relationship theorem</span>. If AC > AB, then m∠B > m∠C for
the same reason.
However, using the given statement and the definition
of congruency, we know that m∠B = m∠C.
Therefore, AB = AC and AB ≅ AC.</span>
Answer:
job A
Step-by-step explanation:
job B pays $34560 yearly because every since it pays $720 weekly and there are 48 weeks in a year $720 multiplied by 48 is $34560. Job C pays $37440 because there are 12 months in a year and semimonthly means two times per month so 12 times 2 times $1560 give you $37440. Therefore job A pays the most amount per year.
Answer:
Step-by-step explanation:
C|___|___|___|___|___|M___|___|___|___|___|D
-7 -6 -5 -4 -3 -2 -1 0 1 2 3
mid point=-7+3/2=-4/2
M=-2
1) subtract the accepted value from the experimental value.
2) Take the absolute value ofvstep 1
3) Divide the answer by accepted value
4) Maltiply that answer by 100 and add the % symbol to express the answer as a percentage.