Answer:
Option A is correct.
The measure of Arc PQR is 190 degree
Step-by-step explanation:
Given a cyclic quadrilateral PQRS is inscribed in a circle as shown in figure.
Given: 
An intercepted arc measures twice the intercepted angle.
The intercepted angle in the given figure is Arc PQR =
......[1]
First find the
;
A quadrilateral is cyclic if and only if opposite angles sum to 180°.
then;

Substitute the value of
in above equation we get;

Simplify:
Now; to find the measure of arc PQR ;
[1] ⇒ Arc PQR =
= 
Therefore, the measure of arc PQR is 190 degree.
The most appropriate unit of measure to describe the distance around the outside of a small picture frame would be the perimeter.
Answer:
Lori spends <u>9 minutes</u> on sketching
th of a sketch.
Step-by-step explanation:
Given equation:

where
number of minutes Lori spends on sketching
and
number of sketches Lori makes.
We need to calculate the time spent by Lori in sketching
of a sketch.
So we know the value of
as
represents number of sketches and in this situation Lori has sketched only a fraction of a painting.
So we plugin
in the equation and calculate
which is time spent by Lori sketching
th of a sketch.


∴
minutes (Answer)
∴ Lori spends 9 minutes on sketching
th of a sketch.
Answer:
5
Step-by-step explanation:
firstly, what are complementry angles.complementary angles are angles that su
m up to 90°
(12x-18)+(5x+23)=90
collecting like terms
12x+5x+23-18=90
17x-5-90=0
17x-95=0
17x=95
divide through by 17
x=5