59°
Explanation:
In a parallelogram, opposite angles are equal.
m∠PSR = m∠PQR
⇒ 7x° – 5° = 6x° + 13°
⇒ 7x° – 6x° = 13° + 5°
⇒ x° = 18°
Therefore, m∠PSR = 7(18°) – 5° = 121°
In a parallelogram, sum of the adjacent angles is 180°.
So, m∠QPS + m∠PSR = 180°
⇒ m∠QPS + 121° = 180°
⇒ m∠QPS = 180° – 121°
⇒ m∠QPS = 59°
Hence, m∠QPS must be 59° for PQRS to be a parallelogram.
The answer would be 145 degrees.
Answer:
OPTION A: , where .
Step-by-step explanation:
Given:
Taking common outside in the denominator, we get:
will get cancelled on the numerator and denominator, we get:
we know that the denominator can not be zero.
That means, 1 + 8x 0.
So, the answer is: , where .
Answer:
32
Step-by-step explanation:
2271 / 72 = 31.54166666666667
31.5 = 32
A quadratic equation has the standard form:
ax^2 + bx + c = 0
in the given equation,
a = 3
b = -10
c = 5
plug these values into the quadratic formula.
(-b +/- sqrt(b^2 - 4ac)) / (2a)
(-(-10) +/- sqrt((-10)^2 - 4(3)(5)) / (2*3)
(10 +/- sqrt(100 - 60)) / (6)
(10 +/- sqrt(40)) /6