Answer:
∠ PQR = 70°
Step-by-step explanation:
The tangent- tangent angle PQR is half the difference of the intercepted arcs.
minor arc PR = 360° - 250° = 110°
Then
∠ PQR = 
(250 - 110)° = × 140° = 70°
Answer:
2 people
Step-by-step explanation:
no. of people = x
total parking costs = 10.25x
total tickets cost = 35.25x
total = 10.25x + 35.25x
suppose 3 people go, then the total cost will be
10.25(3) + 35.25(3) = 136.5 and this is greater than 116
Suppose 2 people go then the cost will be
10.25(2) + 35.25(2) = 91 which is less than 116
so only 2 people can go.
Answer:
Step-by-step explanation:
<u>Given </u><u>:</u><u>-</u><u> </u>
We know that the tangents are perpendicular to the radius at the point of contact . And here OLMN is a quadrilateral. Also we know that , the angle sum property a triangle is 360° .
<u>According</u><u> to</u><u> question</u><u> </u><u>:</u><u>-</u><u> </u>
<u>Hence</u><u> the</u><u> </u><u>value</u><u> of</u><u> x</u><u> </u><u>is </u><u>6</u><u>3</u><u>°</u><u> </u><u>.</u>
Answer:
X 1 = -4,X 2 =12
EXPLANATION:
Determine the defined range
X+6/x=6/x-8,x#0,x#8
Simplify the equation using cross-multiplication
(X+6) x (x-8)=6x
Move variable to the left-hand side and change its sign
(X-6)x(x-8)-6x=0
Multiply the parentheses
X^2-8x+6x-48-6x=0
Since two opposites add up to zero, remove them from the expression
X^2-8x-48=0
Write -8x as a difference
X^2+4x-12x-48=0
Factor out x from the expression
Xx(x+4)-12x-48=0
Factor out -12 from the expression
Xx(x+4)-12(x+4)=0
Factor out from the expression
(x+4)x(x-12)=0
When the product of factors equals 0, at least one factor is 0
x+4=0
x-12=0
Solve the equation for x
X=-4
X-12=0
X=-4,x#0,x#8
Check if the solution is in the defined range
X=-4
x=12
The equation has 2 solutions
X 1 = -4,X 2 =12
Hope this helps
