Answer:
1st and 2nd statements are true.
Step-by-step explanation:
We are asked to choose the correct statements that can prove that quadrilateral DEFG is a parallelogram.
We will use parallelogram properties to answer this problem.
Since we know that a parallelogram has two sets of opposite angles congruent, therefore, 1st option is a correct choice.
Since a parallelogram has one set of opposite sides that are both congruent and parallel, therefore, second statement is true.
Since the consecutive angles of a parallelogram are supplementary, therefore, 3rd statement is not true.
Since the diagonals of parallelogram bisect each other, therefore, 4th statement is not true.
Answer:
option (A)
central angle = 0.375 rad
Step-by-step explanation:
Given in the question,
radius of the circle = 8 inches
arc of the circle = 3 inches
To find,
measure of a central angle
Central angles are subtended by an arc between those two points.
Formula to use:
<h3> s = (r) (θ)</h3>
<em>where r = radius </em>
<em> s = arc length </em>
<em> θ = angle in radians</em>
<em />
Plug in the values in the equation
<h3>3 = (8) (θ)</h3><h3>θ = 3/8 </h3><h3>0.375 rad</h3>
Hi you can change the scientific notation to standard notation. Then go from there
Answer:
Quadratic equation has equal roots
We know that quadratic equation has two equal roots only when the value of discriminant is equal to zero. We know that two roots of quadratic equation are equal only if discriminant is equal to zero.
Step-by-step explanation:
<u>144</u>
So, c must be 144 to make the trinomial a perfect square.
