In the diagram, PT is parallel to QR. What is the measure of angle PQR in degrees?

116

Step-by-step explanation:

Since the two angles at $R$ add to $180^\circ,$ then $\angle QRT + 128^\circ = 180^\circ,$ so $\angle QRT = 52^\circ.$

Since $PT$ and $QR$ are parallel, then $\angle PTR$ and $\angle QRT$ are supplementary, so $2x^\circ + 52^\circ = 180^\circ$ or $2x^\circ = 128^\circ$ or $x = 64.$

Therefore, three of the angles of quadrilateral $PQRT$ are $64^\circ,$ $128^\circ,$ and $52^\circ.$

Since the angles in a quadrilateral add to $360^\circ,$ then $\angle PQR = 360^\circ - 64^\circ - 128^\circ - 52^\circ = \boxed{116} \text{ degrees}$.

distance covered by pamela in 9 l of fuel = 99km

let us apply unitary method here.

distance covered by pamela in 1 l of fuel =99/9 =11 km

now let us find distance covered by pamela if she has 12 l of fuel.

distance covered in 12 l = distance covered in 1 l of fuel * 12

we know that distance covered by here in 1 l is 11 km.

so distance covered in 12 l of fuel = 11*12 = 132 km.

the answer would be d.

step-by-step explanation:

move all variables to the left side and all constants to the right side

(x−3)^2+(y−1)^2=16

this is the form of a circle. use this form to determine the center and radius of the circle.

( x − h ) 2 + ( y − k ) 2 = r 2

match the values in this circle to those of the standard form. the variable   r   represents the radius of the circle,   h   represents the x-offset from the origin, and   k   represents the y-offset from origin.

r = 4

h = 3

k = 1

the center of the circle is found at   ( h , k ) .

center:   ( 3 , 1 )

these values represent the important values for graphing and analyzing a circle.

center:   ( 3 , 1 ).

radius:   4