Answer:
m∠U = 103° and m∠TRS = 6°
Step-by-step explanation:
In the given circle O,
Since, RS║VU, and VR is a transverse,
Therefor, m∠V + m∠R = 180° [Consecutive interior angles]
m∠R + 103° = 180° [m∠R = 103° given]
m∠R = 180° - 103°
m∠R = 77°
Since m∠R = m∠VRT + m∠TRS
77° = 71° + m∠TRS
m∠TRS = 77° - 71° = 6°
Quadrilateral RTUV is a cyclic quadrilateral.
Therefore, m∠U + m∠R = 180°
m∠U + 77° = 180°
m∠U = 180° - 77° = 103°
Answer:
Option b) and c) are correct
Step-by-step explanation:
Given expression is 5s - 11b + 3s - 12b
5s - 11b + 3s - 12b=8s-23b (Rearranging the right hand side terms)
5s - 11b + 3s - 12b =-23b+8s
Option c) is correct
By the definition of equivalent the given expression is the sum of the two terms ( the terms may vary or equal)
From the definition of equivalent we get, Option b) is also correct
Therefore Option b) and c) are correct
Answer:
x = -3 +/- square root(22)
Step-by-step explanation:
x = -b +/- square root(b^2 - 4ac) / 2a
ax^2 + bx + c = 0
these are both the quadratic formula but one is solved for the x and another for 0
a= 1
b= 6
c = -13
x= -6 +/- square root( 6^2 - 4(1)(13)) / 2(1)
x = -6 +/- sqrt( 36 + 52) / 2
x= -6 +/- sqrt (88) / 2
sqrt of 88 = 2 x sqrt (22)
divide 2 on each
x= -3 +/- sqrt (22)
Yes. When solving a problem like this, multiply the base numbers normally, and add the exponents together.
If you need more help, comment below and I'd be happy to assist.
