Given:
PQRS is a circle, PQT and SRT are straight lines.
To find:
The value of x.
Solution:
Since PQRS is a circle, PQT and SRT are straight lines, therefore, PQRS isa cyclic quadrilateral.
We know that, sum of opposite angles of a cyclic quadrilateral is 180 degrees.




Now, SRT is a straight line.
(Linear pair)


...(i)
According to the Exterior angle theorem, in a triangle the measure of an exterior angle is equal the sum of the opposite interior angles.
Using exterior angle theorem in triangle QRT, we get



Therefore, the value of x is 103 degrees.
Answer:
Surface area=114 cm^2
Step-by-step explanation:
Surface area of a cuboid is given be 2(lb+bh+lh). ATQ, l=3, h=3, b=8. Plugging them into the formula, we will get surface area=114 cm^2
Marlee will have 21.05 inches of wire left, here is why;
115-25.75=89.25
89.25+30=119.25
119.25-38=81.25
81.25-60.2=21.05
She has 21.05 inches of wire left.
Answer:
<em>1690</em>
Step-by-step explanation:
V = LWH
V = 13 * 10 * 13
V = 1690
Answer:
Slope of PV = -4
Step-by-step explanation:
Coordinates of the vertices of the given triangle PSV,
P → (2, 4)
S → (3, 4)
V → (3, 0)
Slope of the segment between two points
and
is given by,
Slope = 
Therefore, slope of segment PV will be,
Slope = 
= -4
Slope of PV = -4